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Mueller Matrix Polarimetry in Material Science, Biomedical and Environmental Applications

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Handbook of Coherent-Domain Optical Methods

Abstract

This chapter describes approaches to understanding the physics of the interaction of polarized beams with natural scenes and to searching for informative and useful polarimetric discriminants to identify objects of various natures in optical and radar polarimetry. We start with a general introduction to the Mueller polarimetry. In particular, the multiplicative and additive matrix models of deterministic and depolarizing objects are discussed. Then, several important applications of optical and radar polarimetry, including biomedical tissues, vegetation, soil, atmosphere, oil and chemical contaminations, and man-made targets, are considered.

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References

  1. K.D. Abhyankar, A.L. Fymat, Relations between the elements of the phase matrix for scattering. J. Math. Phys. 10, 1935–1938 (1969)

    Article  ADS  Google Scholar 

  2. A.B. Agrawal, W.M. Boerner, Redevelopment of Kennaugh’s target characteristic polarization state theory using the polarization transformation ratio formalism for the coherent case. IEEE Trans. Geosci. Remote Sens. 27, 2–14 (1989)

    Article  ADS  Google Scholar 

  3. D.G.M. Anderson, R. Barakat, Necessary and sufficient conditions for a Mueller matrix to be derivable from a Jones matrix. J. Opt. Soc. Am. A 11, 2305–2319 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  4. M.-R. Antonelli, A. Pierangelo, T. Novikova et al., Mueller matrix imaging of human colon tissue for cancer diagnostics: how Monte Carlo modeling can help in the interpretation of experimental data. Opt. Express 18, 10200–10208 (2010)

    Article  ADS  Google Scholar 

  5. J. Applequist, Optical activity: Biot’s bequest. Am. Sci. 75, 59–67 (1987)

    Google Scholar 

  6. R.M. Azzam, Mueller-matrix ellipsometry: a review. Proc. SPIE 3121, 396–405 (1997)

    Article  ADS  Google Scholar 

  7. R.M. Azzam, N.M. Bashara, Ellipsometry and Polarized Light, 1st edn. (North-Holland, New York, 1987)

    Google Scholar 

  8. R. Barakat, Theory of the coherency matrix for light of arbitrary spectral bandwidth. J. Opt. Soc. Am. 53, 317–322 (1963)

    Article  MathSciNet  ADS  Google Scholar 

  9. R. Barakat, Conditions for the physical realizability of polarization matrices characterizing passive systems. J. Mod. Opt. 34, 1535–1544 (1987)

    Article  ADS  Google Scholar 

  10. L.D. Barron, Molecular Light Scattering and Optical Activity (Cambridge University Press, Cambridge, UK, 1982)

    Google Scholar 

  11. A. Belmont, S. Zietz, C. Nicolini, Differential scattering of circularly polarized light by chromatin modeled as a helical array of dielectric ellipsoids within the born approximation. Biopolymers 24, 1301–1321 (1985)

    Article  Google Scholar 

  12. A.-M. Benoit, O.K. Naoun, V. Louis-Dorr et al., Linear dichroism of the retinal nerve fiber layer expressed with Mueller matrices. Appl. Opt. 40, 565–569 (2001)

    Article  ADS  Google Scholar 

  13. A. Bernard, W.I. Rose, The injection of sulfuric acid aerosol in the stratosphere by El Chichon volcano and its related hazard to international air traffic. Nat. Hazards 3, 59–67 (1990)

    Article  Google Scholar 

  14. M.V. Berry, M.R. Dennis, The optical singularities of birefringent dichroic chiral crystals. Proc. R. Soc. Lond. Ser. A. 459, 1261–1292 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. W.S. Bickel, M.E. Stafford, Biological particles as irregularly shaped particles, in Light Scattering by Irregularly Shaped Particles, ed. by D. Schuerman (Plenum, New York, 1980), pp. 299–305

    Chapter  Google Scholar 

  16. W.S. Bickel, J.F. Davidson, D.R. Huffman, R. Kilkson, Application of polarization effects in light scattering: a new biophysical tool. Proc. Natl. Acad. Sci. USA 73, 486–490 (1976)

    Article  ADS  Google Scholar 

  17. D. Bicout, C. Brosseau, A.S. Martinez, J.M. Schmitt, Depolarization of multiply scattered waves by spherical diffusers: influence of the size parameter. Phys. Rev. E. 49, 1767–1770 (1994)

    Article  ADS  Google Scholar 

  18. R. Bindlish, A.P. Barros, Parameterization of vegetation backscatter in radar-based, soil moisture estimation. Remote Sens. Environ. 76, 130–137 (2001)

    Article  Google Scholar 

  19. A. Bjerhammar, Application of calculus of matrices to method of least squares; with special references to geodetic calculations. Trans. Inst. Technol. (Stockholm), 49 (1951)

    Google Scholar 

  20. W.-M. Boerner, Direct and Inverse Methods in Radar Polarimetry (Kluwer, Dordrecht, 1992)

    Google Scholar 

  21. W.M. Boerner, H. Mott, E. Luneburg, C. Livingstone, B. Brisco, R.J. Brown, J.S. Paterson, S.R. Cloude, E. Krogager, J.S. Lee, D.L. Schuler, J.J. van Zyl, D. Randall, P. Budkewitsch, E. Pottier, Polarimetry in radar remote sensing: basic and applied concepts, in Manual of Remote Sensing: Principles and Applications of Imaging Radar, ed. by F.M. Henderson, A.J. Lewis (Wiley, New York, 1998)

    Google Scholar 

  22. C.F. Bohren, E.R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983)

    Google Scholar 

  23. C.C. Borel, R.E. McIntosh, Millimeter wave backscatter from deciduous trees. IEEE Trans. Antennas Propagat. 38, 1391–1398 (1990)

    Article  ADS  Google Scholar 

  24. M. Borgeaud, R.T. Shin, J.A. Kong, Theoretical models for polarimetric radar clutter. J. Electromagn. Waves Appl. 1, 73–89 (1987)

    Article  ADS  Google Scholar 

  25. B.V. Bronk, S.D. Druger, J. Czege, W.P. van de Merwe, Measuring diameters of rod-shaped bacteria in vivo with polarized light scattering. Biophys. J. 69, 1170–1177 (1995)

    Article  ADS  Google Scholar 

  26. C. Brosseau, Analysis of experimental data for Mueller polarization matrices. Optik 85, 83–86 (1990)

    Google Scholar 

  27. C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, New York, 1998)

    Google Scholar 

  28. C. Brosseau, C.R. Givens, A.B. Kostinski, Generalized trace condition on the Mueller−Jones polarization matrix. J. Opt. Soc. Am. A 10, 2248–2251 (1993)

    Article  ADS  Google Scholar 

  29. C.E. Brown, M.F. Fingas, Synthetic aperture radar sensors: viable for marine oil spill response? in Proceedings of the 26th AMOP (2003), pp. 299–310

    Google Scholar 

  30. J.M. Bueno, Indices of linear polarization for an optical system. J. Opt. A: Pure Appl. Opt. 3, 470–476 (2001)

    Article  ADS  Google Scholar 

  31. C. Bustamante, M.F. Maestre, D. Keller, I. Tinoco Jr., Differential scattering (CIDS) of circularly polarized light by dense particles. J. Chem. Phys. 80, 4817–4823 (1984)

    Article  ADS  Google Scholar 

  32. A.H. Carrieri, Neural network pattern recognition by means of differential absorption Mueller matrix spectroscopy. Appl. Opt. 38, 3759–3766 (1999)

    Article  ADS  Google Scholar 

  33. A.H. Carrieri, D.J. Owens, J.C. Schultz, Infrared Mueller matrix acquisition and preprocessing system. Appl. Opt. 47, 5019–5027 (2008)

    Article  ADS  Google Scholar 

  34. A.H. Carrieri, J.R. Bottiger, D.J. Owens, E.S. Roese, Differential absorption Mueller matrix spectroscopy and the infrared detection of crystalline organics. Appl. Opt. 37, 6550–6557 (1998)

    Article  ADS  Google Scholar 

  35. A.H. Carrieri, D.J. Owens, E.S. Roese, K.C. Hung, P.I. Lim, J.C. Schultz, M.V. Talbard, Photopolarimetric lidar dual-beam switching device and Mueller matrix standoff detection method. J. Appl. Remote Sens. 1, 013502 (2007)

    Article  Google Scholar 

  36. A.H. Carrieri, J. Copper, D.J. Owens, E.S. Roese, J.R. Bottiger, R.D. Everly, K.C. Hung, Infrared differential-absorption Mueller matrix spectroscopy and neural network-based data fusion for biological aerosol standoff detection. Appl. Opt. 49, 382–393 (2010)

    Article  Google Scholar 

  37. P.S. Chang, J.B. Mead, Ph.M. Langlois, R.E. McIntosh, Millimeter-wave measurements of natural surfaces at 35, 95, and 225 GHz, in Proceedings of the ISAP (1992), pp. 541–544

    Google Scholar 

  38. R.J. Charlson, S.E. Schwartz, J.M. Hales, R.D. Cess, J.A. Coakley Jr., J.E. Hansen, D.J. Hofmann, Climate forcing by anthropogenic aerosols. Science 255, 423–431 (1992)

    Article  ADS  Google Scholar 

  39. I. Chiapello, C. Moulin, J.M. Prospero, Understanding the long-term variability of African dust transport across the Atlantic as recorded in both Barbados surface concentrations and large-scale Total Ozone Mapping Spectrometer (TOMS) optical thickness. J. Geophys. Res. 110, D18S10 (2005)

    Article  ADS  Google Scholar 

  40. R.A. Chipman, Polarimetry, in Handbook of Optics, vol. II, ed. by M. Bass (McGraw Hill, New York, 1995)

    Google Scholar 

  41. R.A. Chipman, Depolarization. Proc. SPIE 3754, 14–20 (1999)

    Article  ADS  Google Scholar 

  42. R.A. Chipman, Depolarization index and the average degree of polarization. Appl. Opt. 44, 2490–2495 (2005)

    Article  ADS  Google Scholar 

  43. J. Chung, W. Jung, M.J. Hammer-Wilson et al., Use of polar decomposition for the diagnosis of oral precancer. Appl. Opt. 46, 3038–3045 (2007)

    Article  ADS  Google Scholar 

  44. S.R. Cloude, Group theory and polarization algebra. Optik 7, 26–36 (1986)

    Google Scholar 

  45. S.R. Cloude, Polarization: Applications in Remote Sensing (Oxford University Press, New York, 2010)

    Google Scholar 

  46. S.R. Cloude, E. Pottier, Concept of polarization entropy in optical scattering. Opt. Eng. 34, 1599–1610 (1995)

    Article  ADS  Google Scholar 

  47. S.R. Cloude, E. Pottier, A review of target decomposition theorems in radar polarimetry. IEEE Trans. Geosci. Remote Sens. 34, 498–518 (1996)

    Article  ADS  Google Scholar 

  48. S.R. Cloude, E. Pottier, An entropy based classification scheme for land applications of polarimetric SAR. IEEE Trans. Geosci. Remote Sens. 35, 68–78 (1997)

    Article  ADS  Google Scholar 

  49. S.R. Cloude, K.P. Papathanassiou, E. Pottier, Radar polarimetry and polarimetric interferometry. IEICE Trans. Electron. E84-C, 1814–1822 (2001)

    Google Scholar 

  50. E. Collett, Polarized Light: Fundamentals and Applications (Marcel Decker, New York, 1993)

    Google Scholar 

  51. J.F. de Boer, T.E. Milner, Review of polarization sensitive optical coherence tomography and Stokes vector determination. J. Biomed. Opt. 7, 359–371 (2002)

    Article  Google Scholar 

  52. J.F. de Boer, T.E. Milner, M.J.C. van Gemert, J.S. Nelson, Two dimensional birefringence imaging in biological tissue by polarization-sensitive optical coherence tomography. Opt. Lett. 22, 934–936 (1997)

    Article  ADS  Google Scholar 

  53. A. De Martino, Y.-K. Kim, E. Garcia-Caurel, B. Laude, B. Drevillon, Optimized Mueller polarimeter with liquid crystals. Opt. Lett. 28, 616–618 (2003)

    Article  ADS  Google Scholar 

  54. B.J. DeBoo, J.M. Sasian, R.A. Chipman, Depolarization of diffusely reflecting man-made objects. Appl. Opt. 44, 5434–5445 (2005)

    Article  ADS  Google Scholar 

  55. L.L. Deibler, M.H. Smith, Measurement of the complex refractive index of isotropic materials with Mueller matrix polarimetry. Appl. Opt. 40, 3659–3667 (2001)

    Article  ADS  Google Scholar 

  56. R.D. DeRoo, Y. Du, F.T. Ulaby, M.C. Dobson, A semi-empirical backscattering model at L-band and C-band for a soybean canopy with soil moisture inversion. IEEE Trans. Geosci. Remote Sens. 39, 864–872 (2001)

    Article  ADS  Google Scholar 

  57. P.A. Demirev, A.B. Feldman, J.S. Lin, Chemical and biological weapons: current concepts for future defenses. Johns Hopkins APL Tech. Dig. 26, 321–333 (2005)

    Google Scholar 

  58. A. Diaspro, C. Nicolini, Circular intensity differential scattering and chromatin DNA-structures. Cell Biophys. 10(10), 45–60 (1987)

    Google Scholar 

  59. Y. Dong, J.A. Richards, Studies of the cylinder-ground double bounce scattering mechanism in forest backscatter models. IEEE Trans. Geosci. Remote Sens. 33, 229–231 (1995)

    Article  ADS  Google Scholar 

  60. Y. Dong, J.A. Richards, Forest discrimination using SAR multifrequency and multipolarization data, in Proceedings of the IGARSS (1995)

    Google Scholar 

  61. Y. Dong, B.C. Forster, C. Ticehurst, Decompositions of radar polarization signatures from built and natural targets. Int. Arch. Photogramm. Remote Sens. XXXI(Part B7), 196–202 (1996)

    Google Scholar 

  62. B.P. Dorman, M.F. Maestre, Experimental differential light scattering corrections to the circular dichroism of T2 bacteriophage. Proc. Natl. Acad. Sci. USA 70, 255–259 (1973)

    Article  ADS  Google Scholar 

  63. P.C. Dubois, I. Norikane, Data volume reduction for imaging radar polarimetry, in Proceedings of the IGARSS (1987), pp. 691–696

    Google Scholar 

  64. O. Dubovik, B.N. Holben, T. Lapyonok, A. Sinyuk, M.I. Mishchenko, P. Yang, I. Slutsker, Non-spherical aerosol retrieval method employing light scattering by spheroids. Geophys. Res. Lett. 29(10), 1415 (2002)

    Article  ADS  Google Scholar 

  65. S.L. Durden, L.A. Morrissey, G.P. Livingston, Microwave backscatter and attenuation dependence on leaf area index for flooded rice fields. IEEE Trans. Geosci. Remote Sens. 33, 807–810 (1995)

    Article  ADS  Google Scholar 

  66. C. Elachi, Introduction to the Physics and Techniques of Remote Sensing (Wiley, New York, 1987)

    Google Scholar 

  67. N. Engheta, C. Elachi, Radar scattering from a diffuse vegetation layer over a smooth surface. IEEE Trans. Geosci. Remote Sens. 20, 212–216 (1982)

    Article  ADS  Google Scholar 

  68. R. Espinosa-Luna, E. Bernabeu, On the Q(M) depolarization metric. Opt. Commun. 277, 256–258 (2007)

    Article  Google Scholar 

  69. D.L. Evans, T.G. Farr, J.J. van Zyl, H.A. Zebker, Radar polarimetry: analysis tools and applications. IEEE Trans. Geosci. Remote Sens. 26, 774–789 (1988)

    Article  ADS  Google Scholar 

  70. F. Fanjul-Vélez, J.L. Arce-Diego, Polarimetry of birefringent biological tissues with arbitrary fibril orientation and variable incidence angle. Opt. Lett. 35, 1163–1165 (2010)

    Article  ADS  Google Scholar 

  71. A. Freeman, S.L. Durden, A three-component scattering model for polarimetric SAR data. IEEE Trans. Geosci. Remote Sens. 36, 345–351 (1998)

    Article  Google Scholar 

  72. F. Fromard, H. Puig, E. Mougin, G. Marty, J.L. Betoulle, L. Cadamuro, Structure, above-ground biomass and dynamics of mangrove ecosystems: new data from French Guiana. Oecologia 115, 39–53 (1998)

    Article  Google Scholar 

  73. E.S. Fry, G.W. Kattawar, Relationships between elements of the Stokes matrix. Appl. Opt. 20, 2811–2814 (1981)

    Article  ADS  Google Scholar 

  74. M. Gade, W. Alpers, H. Huhnerfuss, H. Masuko, T. Kobayashi, Imaging of biogenic and anthropogenic ocean surface films by the multifrequency/multipolarization SIR-C/X-SAR. J. Geophys. Res. 103, 18851–18866 (1998)

    Article  ADS  Google Scholar 

  75. A. Gerrard, J.M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975)

    Google Scholar 

  76. N. Ghosh, H.S. Patel, P.K. Gupta, Depolarization of light in tissue phantoms – effect of a distribution in the size of scatterers. Opt. Express 11, 2198–2205 (2003)

    Article  ADS  Google Scholar 

  77. N. Ghosh, M.F.G. Wood, I.A. Vitkin, Mueller matrix decomposition for extraction of individual polarization parameters from complex turbid media exhibiting multiple scattering, optical activity, and linear birefringence. J. Biomed. Opt. 13, 044036 (2008)

    Article  ADS  Google Scholar 

  78. N. Ghosh, M.F.G. Wood, I.A. Vitkin, Polarimetry in turbid, birefringent, optically active media: a Monte Carlo study of Mueller matrix decomposition in the backscattering geometry. J. Appl. Phys. 105, 102023 (2009)

    Article  ADS  Google Scholar 

  79. N. Ghosh, M.F.G. Wood, I.A. Vitkin, Influence of the order of the constituent basis matrices on the Mueller matrix decomposition-derived polarization parameters in complex turbid media such as biological tissues. Opt. Commun. 283, 1200–1208 (2010)

    Article  ADS  Google Scholar 

  80. N. Ghosh, M.F.G. Wood, S.-h. Li et al., Mueller matrix decomposition for polarized light assessment of biological tissues. J. Biophoton. 2, 145–156 (2009)

    Article  Google Scholar 

  81. J.J. Gil, Characteristic properties of Mueller matrices. J. Opt. Soc. Am. A 17, 328–334 (2000)

    Article  ADS  Google Scholar 

  82. J.J. Gil, Polarimetric characterization of light and media. Eur. Phys. J. Appl. Phys. 40, 1–47 (2007)

    Article  ADS  Google Scholar 

  83. J.J. Gil, E. Bernabeu, A depolarization criterion in Mueller matrices. Opt. Acta 32, 259–261 (1985)

    Article  ADS  Google Scholar 

  84. J.J. Gil, E. Bernabeu, Depolarization and polarization indexes of an optical system. Opt. Acta 33, 185–189 (1986)

    Article  ADS  Google Scholar 

  85. J.J. Gil, E. Bernabeu, Obtainment of the polarizing and retardation parameters of a non-depolarizing optical system from the polar decomposition of its Mueller matrix. Optik 76, 67–71 (1987)

    Google Scholar 

  86. C.R. Givens, A.B. Kostinski, A simple necessary and sufficient condition on physically realizable Mueller matrices. J. Mod. Opt. 40, 471–481 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  87. D.H. Goldstein, Polarization measurements of automobile paints. Proc. of SPIE 6972, 69720V–69721V (2008)

    Article  ADS  Google Scholar 

  88. A.V. Gopala Rao, K.S. Mallesh, Sudha, On the algebraic characterization of a Mueller matrix in polarization optics. I. Identifying a Mueller matrix from its N matrix. J. Mod. Opt. 45, 955–987 (1998)

    MathSciNet  ADS  MATH  Google Scholar 

  89. A.V. Gopala Rao, K.S. Mallesh, Sudha, On the algebraic characterization of a Mueller matrix in polarization optics. II. Necessary and sufficient conditions for Jones-derived Mueller matrices. J. Mod. Opt. 45, 989–999 (1998)

    MathSciNet  ADS  Google Scholar 

  90. C.T. Gross, H. Salamon, A.J. Hunt et al., Hemoglobin polymerization in sicklecells studied by circular polarized light scattering. Biochim. Biophys. Acta 1079, 152–160 (1991)

    Article  Google Scholar 

  91. A. Guissard, Mueller and Kennaugh matrices in radar polarimetry. IEEE Trans. Geosci. Remote Sens. 32, 590–597 (1994)

    Article  ADS  Google Scholar 

  92. K.C. Hadley, I.A. Vitkin, Optical rotation and linear and circular depolarization rates in diffusively scattered light from chiral, racemic, and achiral turbid media. J. Biomed. Opt. 7, 291–299 (2002)

    Article  ADS  Google Scholar 

  93. I. Hajnsek, Inversion of surface parameters from polarimetric SAR. DLR Res. Rep. FB, 2001-30 (2001)

    Google Scholar 

  94. I. Hajnsek, E. Pottier, S.R. Cloude, Inversion of surface parameters from polarimetric SAR. IEEE Trans. Geosci. Remote Sens. 41, 727–744 (2003)

    Article  ADS  Google Scholar 

  95. J. Hansen, A. Lacis, R. Ruedy, M. Sato, Potential climate impact of Mount Pinatubo eruption. Geophys. Res. Lett. 19, 215–218 (1992)

    Article  ADS  Google Scholar 

  96. P.S. Hauge, Recent developments in instrumentation in ellipsometry. Surface Sci. 96, 108–140 (1980)

    Article  ADS  Google Scholar 

  97. S.M. Haugland, E. Bahar, A.H. Carrieri, Identification of contaminant coatings over rough surfaces using polarized infrared scattering. Appl. Opt. 31, 3847–3852 (1992)

    Article  ADS  Google Scholar 

  98. H. He, N. Zeng, R. Liao et al., Application of sphere–cylinder scattering model to skeletal muscle. Opt. Express 18, 15104–15112 (2010)

    Article  ADS  Google Scholar 

  99. D.N. Held, W.E. Brown, A. Freeman, J.D. Klein, H. Zebker, T. Sato, T. Miller, Q. Nguyen, Y. Lou, The NASAIJPL multifrequency, multipolarization airborne SAR system, in Proceedings of the ICARSS (1988, pp. 345–349)

    Google Scholar 

  100. L.L. Hess, J.M. Melack, D.S. Simonett, Radar detection of flooding beneath the forest canopy: a review. Int. J. Remote Sens. 14, 1313–1325 (1990)

    Article  Google Scholar 

  101. A.H. Hielscher, A.A. Eick, J.R. Mourant et al., Diffuse backscattering Mueller matrices of highly scattering media. Opt. Express 1, 441–453 (1997)

    Article  ADS  Google Scholar 

  102. A.G. Hoekstra, P.M.A. Sloot, Dipolar unit size in coupled-dipole calculations of the scattering matrix elements. Appl. Opt. 18, 1211–1213 (1993)

    Google Scholar 

  103. A.G. Hoekstra, P.M.A. Sloot, Biophysical and biomedical applications of nonspherical scattering, in Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications, ed. by M.I. Mishchenko, J.W. Hovenier, L.D. Travis (Academic, San Diego, 2000), pp. 585–602

    Chapter  Google Scholar 

  104. J.W. Hovenier, Symmetry relations for scattering of polarized light in a slab of randomly oriented particles. J. Atmos. Sci. 26, 488–499 (1969)

    Article  ADS  Google Scholar 

  105. J.W. Hovenier, Principles of symmetry for polarization studies of planets. Astron. Astrophys. 7, 86–90 (1970)

    ADS  Google Scholar 

  106. J.W. Hovenier, Structure of a general pure Mueller matrix. Appl. Opt. 33, 8318–8324 (1994)

    Article  ADS  Google Scholar 

  107. J.W. Hovenier, D.W. Mackowski, Symmetry relations for forward and backward scattering by randomly oriented particles. J. Quant. Spectrosc. Radiat. Transf. 60, 483–492 (1998)

    Article  ADS  Google Scholar 

  108. J.W. Hovenier, C.V.M. van der Mee, Basic relationships for matrices describing scattering by small particles, in Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications, ed. by M.I. Mishchenko, J.W. Hovenier, L.D. Travis (Academic, San Diego, 2000), pp. 61–85

    Chapter  Google Scholar 

  109. J.W. Hovenier, H.C. van de Hulst, C.V.M. van der Mee, Conditions for the elements of the scattering matrix. Astron. Astrophys. 157, 301–310 (1986)

    ADS  Google Scholar 

  110. C.-R. Hu, G.W. Kattawar, M.E. Parkin, P. Herb, Symmetry theorems on the forward and backward scattering Mueller matrices for light scattering from a nonspherical dielectric scatterer. Appl. Opt. 26, 4159–4173 (1987)

    Article  ADS  Google Scholar 

  111. D.G. Hunter, J.C. Sandruck, S. Sau et al., Mathematical modeling of retinal birefringence scanning. J. Opt. Soc. Am. A 16, 2103–2111 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  112. H. Hurwitz, C.R. Jones, A new calculus for the treatment of optical systems. II. Proof of three general equivalence theorems. J. Opt. Soc. Am. 31, 493–499 (1941)

    Article  ADS  Google Scholar 

  113. M. Imhoff, M. Story, C. Vermillion, F. Khan, F. Polcyn, Forest canopy characterization and vegetation penetration assessment with space-borne radar. IEEE Trans. Geosci. Remote Sens. 24, 535–542 (1986)

    Article  ADS  Google Scholar 

  114. D.L. Jaggard, C. Hill, R.W. Shorthill, D. Stuart, M. Glantz, F. Rosswog, B. Taggard, S. Hammond, Light scattering from particles of regular and irregular shape. Atmos. Environ. 15, 2511–2519 (1981)

    Article  Google Scholar 

  115. R.G. Johnston, S.B. Singham, G.C. Salzman, Polarized light scattering. Comments Mol. Cell. Biophys. 5, 171–192 (1988)

    Google Scholar 

  116. R.C. Jones, A new calculus for the treatment of optical systems. I. Description and discussion of the calculus. J. Opt. Soc. Am. 31, 488–493 (1941)

    Article  ADS  Google Scholar 

  117. R.C. Jones, A new calculus for the treatment of optical systems. IV. J. Opt. Soc. Am. 32, 486–493 (1942)

    Article  ADS  Google Scholar 

  118. R.C. Jones, A new calculus for the treatment of optical systems. V. A more general formulation and description of another calculus. J. Opt. Soc. Am. 37, 107–110 (1947)

    Article  ADS  Google Scholar 

  119. R.C. Jones, A new calculus for the treatment of optical systems. VII. Properties of the N-matrices. J. Opt. Soc. Am. 38, 671–685 (1948)

    Article  ADS  Google Scholar 

  120. R.C. Jones, A new calculus for the treatment of optical systems. VIII. Electromagnetic theory. J. Opt. Soc. Am. 46, 126–131 (1956)

    Article  ADS  Google Scholar 

  121. O.V. Kalashnikova, I.N. Sokolik, Modeling the radiative properties of nonspherical soil-delivered mineral aerosols. JQSRT 87, 137–166 (2004)

    Article  ADS  Google Scholar 

  122. B. Kaplan, B. Drevillon, Mueller matrix measurements of small spherical particles deposited on a c-Si wafer. Appl. Opt. 41, 3911–3918 (2002)

    Article  ADS  Google Scholar 

  123. B. Kaplan, G. Ledanois, B. Drevillon, Mueller matrix of dense polystyrene latex sphere suspensions: measurements and Monte Carlo simulation. Appl. Opt. 40, 2769–2777 (2001)

    Article  ADS  Google Scholar 

  124. M.A. Karam, F. Amar, A.K. Fung, E. Mougin, A. Lopes, D.M. Le Vine, A. Beaudoin, A microwave polarimetric scattering model for forest canopies based on vector radiative transfer theory. Remote Sens. Environ. 53, 16–30 (1995)

    Article  Google Scholar 

  125. K. Kennaugh, Effects of type of polarization on echo characteristics. Tech. Rep. OH 389-4, 35, OH 381-9, 39 (1951)

    Google Scholar 

  126. K. Kennaugh, Polarization properties of radar reflections. M.Sc. thesis, The Ohio State University, Columbus, Ohio (1952)

    Google Scholar 

  127. K. Kim, L. Mandel, E. Wolf, Relationship between Jones and Mueller matrices for random media. J. Opt. Soc. Am. A 4, 433–437 (1987)

    Article  ADS  Google Scholar 

  128. Y.L. Kim, P. Pradhan, M.H. Kim, V. Backman, Circular polarization memory effect in low-coherence enhanced backscattering of light. Opt. Lett. 31, 2744–2746 (2006)

    Article  ADS  Google Scholar 

  129. D.S. Kliger, J.W. Lewis, C.E. Randall, Polarized Light in Optics and Spectroscopy (Academic, New York, 1990)

    Google Scholar 

  130. P. Koepke, M. Hess, I. Shultz, E.P. Shettle, Global aerosol data set. Rep. 44, Max Planck Inst. for Meteorol. (1997)

    Google Scholar 

  131. A.A. Kokhanovsky, Light Scattering Media Optics: Problems and Solutions (Praxis, Chichester, 2001)

    Google Scholar 

  132. A.A. Kokhanovsky, Parameterization of the Mueller matrix of oceanic waters. J. Geophys. Res. 108, 3175 (2003)

    Article  ADS  Google Scholar 

  133. A.A. Kokhanovsky, Polarization Optics of Random Media (Praxis, Chichester, 2003)

    Google Scholar 

  134. A.A. Kokhanovsky, Optical properties of irregularly shaped particles. J. Phys. D: Appl. Phys. 36, 915–923 (2003)

    Article  ADS  Google Scholar 

  135. J.A. Kong, A.S. Swartz, H.A. Yueh, L.M. Novak, R.T. Shin, Identification of terrain cover using the optimum polarimeter classifier. J. Electromagn. Waves Appl. 2, 171–194 (1987)

    Google Scholar 

  136. I. Koren, E. Ganor, J.H. Joseph, On the relation between size and shape of desert dust aerosol. J. Geophys. Res. 106, 18037–18045 (2001)

    Article  ADS  Google Scholar 

  137. A.B. Kostinski, Depolarization criterion for incoherent scattering. Appl. Opt. 31, 3506–3508 (1992)

    Article  ADS  Google Scholar 

  138. A.B. Kostinski, C.R. Givens, J.M. Kwiatkowski, Constraints on Mueller matrices of polarization optics. Appl. Opt. 32, 1646–1651 (1993)

    Article  ADS  Google Scholar 

  139. S. Krishnan, P.C. Nordine, Mueller-matrix ellipsometry using the division-of-amplitude photopolarimeter: a study of depolarization effects. Appl. Opt. 33, 4184–4192 (1994)

    Article  ADS  Google Scholar 

  140. L.D. Landau, E.M. Lifshitz, L.P. Pitaevskii, Electrodynamics of Continuous Media (Pergamon Press, Oxford, 1984)

    Google Scholar 

  141. P. Lankaster, M. Tismenetsky, The Theory of Matrices (Academic, San Diego, 1985)

    Google Scholar 

  142. B. Laude-Boulesteix, A. De Martino, B. Drevillon, L. Schwartz, Mueller polarimetric imaging system with liquid crystals. Appl. Opt. 43, 2824–2832 (2004)

    Article  ADS  Google Scholar 

  143. R. Lawless, Y. Xie, P. Yang et al., Polarization and effective Mueller matrix for multiple scattering of light by nonspherical ice crystals. Opt. Express 14, 6381–6393 (2006)

    Article  ADS  Google Scholar 

  144. G.D. Lewis, D.L. Jordan, E. Jakeman, Backscatter linear and circular polarization analysis of roughened aluminum. Appl. Opt. 37, 5985–5992 (1998)

    Article  ADS  Google Scholar 

  145. X. Li, G. Yao, Mueller matrix decomposition of diffuse reflectance imaging in skeletal muscle. Appl. Opt. 48, 2625–2631 (2009)

    Article  ADS  Google Scholar 

  146. X. Li, H. Maring, D. Savoie, K. Voss, J.M. Prospero, Dominance of mineral dust in aerosol light scattering in the North Atlantic trade winds. Nature 380, 416–419 (1996)

    Article  ADS  Google Scholar 

  147. X. Li, J.C. Ranasinghesagara, G. Yao, Polarization-sensitive reflectance imaging in skeletal muscle. Opt. Express 16, 9927–9935 (2008)

    Article  ADS  Google Scholar 

  148. K.D. Lofftus, M.S. Quinby-Hunt, A.J. Hunt et al., Light scattering by Prorocentrum micans: a new method and results. Appl. Opt. 31, 2924–2931 (1992)

    Article  ADS  Google Scholar 

  149. V.N. Lopatin, A.V. Priezzhev, A.D. Apanasenko et al., Methods of Light Scattering in the Analysis of Dispersed Biological Media (Fizmatlit, Moscow, 2004) (in Russian)

    Google Scholar 

  150. V. Louis-Dorr, K. Naoun, P. Allé et al., Linear dichroism of the cornea. Appl. Opt. 43, 1515–1521 (2004)

    Article  ADS  Google Scholar 

  151. S.-Y. Lu, R.A. Chipman, Homogeneous and inhomogeneous Jones matrices. J. Opt. Soc. Am. A 11, 766–773 (1994)

    Article  ADS  Google Scholar 

  152. S.-Y. Lu, R.A. Chipman, Interpretation of Mueller matrices based on polar decomposition. J. Opt. Soc. Am. A 13, 1106–1113 (1996)

    Article  ADS  Google Scholar 

  153. E. Lueneburg, Principles of radar polarimetry-using the directional Jones vector approach. IEICE Trans. Electron. E78-C, 1339–1345 (1995)

    Google Scholar 

  154. K. Lumme, Scattering properties of interplanetary dust particles, in Light Scattering by Nonspherical Particles (Academic, San Diego, 2000)

    Google Scholar 

  155. D.W. Mackowski, M.I. Mishchenko, Calculation of the T matrix and the scattering matrix for ensembles of spheres. J. Opt. Soc. Am. A 11, 2266–2278 (1996)

    Article  ADS  Google Scholar 

  156. M.F. Maestre, C. Bustamante, T.L. Hayes et al., Differential scattering of circularly polarized light by the helical sperm head from the octopus Eledone cirrhosa. Nature 298, 773–774 (1982)

    Article  ADS  Google Scholar 

  157. S. Manhas, M.K. Swami, P. Buddhiwant et al., Mueller matrix approach for determination of optical rotation in chiral turbid media in backscattering geometry. Opt. Express 14, 190–202 (2006)

    Article  ADS  Google Scholar 

  158. S. Manickavasagam, M.P. Menguc, Scattering-matrix elements of coated infinite-length cylinders. Appl. Opt. 37, 2473–2482 (1998)

    Article  ADS  Google Scholar 

  159. T. Manninen, P. Stenberg, M. Rautiainen, P. Voipio, H. Smolander, Leaf area index estimation of boreal forest using ENVISAT ASAR. IEEE Trans. Geosci. Remote Sens. 43, 2627–2635 (2005)

    Article  ADS  Google Scholar 

  160. V.V. Mar’enko, S.N. Savenkov, Representation of arbitrary Mueller matrix in the basis of matrices of circular and linear anisotropy. Opt. Spectrosc. 76, 94–96 (1994)

    ADS  Google Scholar 

  161. W.E. Martin, E. Hesse, J.H. Hough, W.B. Sparks, C.S. Cockell, Z. Ulanowski, T.A. Germer, P.H. Kaye, Polarized optical scattering signatures from biological materials. JQSRT. 111, 2444–2459 (2010)

    Article  ADS  Google Scholar 

  162. H. McNairna, C. Duguay, B. Brisco, T.J. Pultz, The effect of soil and crop residue characteristics on polarimetric radar response. Remote Sens. Environ. 80, 308–320 (2002)

    Article  Google Scholar 

  163. J.B. Mead, R.E. McIntosh, A 225 GHz polarimetric radar. IEEE Trans. Microw. Theory Tech. 38, 1252–1257 (1990)

    Article  ADS  Google Scholar 

  164. J.B. Mead, R.E. McIntosh, Polarimetric backscatter measurements of deciduous and coniferous trees at 225 GHz. IEEE Trans. Geosci. Remote Sens. 29, 21–28 (1991)

    Article  ADS  Google Scholar 

  165. M. Migliaccio, A. Gambardella, M. Tranfaglia, SAR polarimetry to observe oil spills. IEEE Trans. Geosci. Remote Sens. 45, 506–511 (2007)

    Article  ADS  Google Scholar 

  166. M. Migliaccio, F. Nunziata, A. Gambardella, Polarimetric signature for oil spill observation. Proceedings of the US/EU-Baltic International Symposium (2008), pp. 1–5

    Google Scholar 

  167. M. Migliaccio, F. Nunziata, A. Gambardella, On the copolarised phase difference for oil spill observation. Int. J. Remote Sens. 30, 1587–1602 (2009)

    Article  ADS  Google Scholar 

  168. M. Migliaccio, A. Gambardella, F. Nunziata, M. Shimada, O. Isoguchi, The PALSAR polarimetric mode for sea oil slick observation. IEEE Trans. Geosci. Remote Sens. 47, 4032–4041 (2009)

    Article  ADS  Google Scholar 

  169. M.I. Mishchenko, J.W. Hovenier, Depolarization of light backscattered by randomly oriented nonspherical particles. Opt. Lett. 20, 1356–1358 (1995)

    Article  ADS  Google Scholar 

  170. M.I. Mishchenko, L.D. Travis, Polarization and depolarization of light, in Light Scattering from Microstructures, ed. by F. Moreno, F. González (Springer, Berlin, 2000), pp. 159–175

    Chapter  Google Scholar 

  171. M.I. Mishchenko, J.W. Hovenier, L.D. Travis (eds.), Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications (Academic, San Diego, 2000)

    Google Scholar 

  172. M.I. Mishchenko, L.D. Travis, A.A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University Press, Cambridge, UK, 2002)

    Google Scholar 

  173. M.I. Mishchenko, L.D. Travis, A.A. Lacis, Multiple Scattering of Light by Particles. Radiative Transfer and Coherent Backscattering (Cambridge University Press, Cambridge, UK, 2006)

    Google Scholar 

  174. M.I. Mishchenko, W.J. Wiscombre, J.W. Hovenier, L.D. Travis, Overview of scattering by nonspherical particles, in Light Scattering by Nonspherical Particles, ed. by M. Mishchenko, J. Hovenier, L. Travis (Academic, San Diego, 2000)

    Google Scholar 

  175. M.I. Mishchenko, V.K. Rosenbush, N.N. Kiselev, D.F. Lupishko, V.P. Tishkovets, V.G. Kaydash, I.N. Belskaya, Y.S. Efimov, N.M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, Kyiv, 2010)

    Google Scholar 

  176. E.H. Moore, On the reciprocal of the general algebraic matrix. Bull. Am. Math. Soc. 26, 394–395 (1920)

    Google Scholar 

  177. J. Morio, F. Goudail, Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices. Opt. Lett. 29, 2234–2236 (2004)

    Article  ADS  Google Scholar 

  178. H. Mott, Remote Sensing with Polarimetric Radar (Wiley, New York, 2007)

    Google Scholar 

  179. E. Mougin, C. Proisy, G. Marty, F. Fromard, H. Puig, J.L. Betoulle, J.P. Rudant, Multifrequency and multipolarization radar backscattering from mangrove forests. IEEE Trans. Geosci. Remote Sens. 37, 94–102 (1999)

    Article  ADS  Google Scholar 

  180. H. Mueller, The foundation of optics. J. Opt. Soc. Am. 38, 661 (1948)

    Google Scholar 

  181. K. Muinonen, J. Piironen, Yu, G. Shkuratov, A. Ovcharenko, B.E. Clark, Asteroid photometric and polarimetric phase effects, in Asteroids III (University of Arizona Press, Tucson, 2002)

    Google Scholar 

  182. O. Munoz, H. Volten, J.F. de Haan, W. Vassen, J.W. Hovenier, Experimental determination of scattering matrices of fly ash and clay particles at 442 and 633 nm. J. Geophys. Res. 106, 22833–22844 (2001)

    Article  ADS  Google Scholar 

  183. O. Munoz, H. Volten, J.F. de Haan, W. Vassen, J.W. Hovenier, Experimental determination of the phase function and degree of linear polarization of El Chichon and Pinatubo volcanic ashes. J. Geophys. Res. 107(D13), 4174 (2002)

    Article  Google Scholar 

  184. Q. Munoz, H. Volten, J.W. Hovenier, B. Veihelmann, W.J. van der Zande, L.B.F.M. Waters, W.I. Rose, Scattering matrices of volcanic ash particles of Mount St. Helens, Redoubt, and Mount Spurr Volcanoes. J. Geophys. Res. 109, D16201 (2004)

    Google Scholar 

  185. R.S. Muttiah (ed.), From Laboratory Spectroscopy to Remotely Sensed Spectra of Terrestrial Ecosystems (Kluwer, Dordrecht, 2002)

    Google Scholar 

  186. D.I. Nagirner, Constrains on matrices transforming Stokes vectors. Astron. Astrophys. 275, 318–324 (1993)

    ADS  Google Scholar 

  187. O.K. Naoun, V. Louis-Dorr, P. Allé et al., Exploration of the retinal nerve fiber layer thickness by measurement of the linear dichroism. Appl. Opt. 44, 7074–7082 (2005)

    Article  ADS  Google Scholar 

  188. R.M. Narayanan, C.C. Borel, R.E. McIntosh, Radar backscatter characteristics of trees at 215 GHz. IEEE Trans. Geosci. Remote Sens. 26, 217–228 (1988)

    Article  ADS  Google Scholar 

  189. T. Nousiainen, K. Muinonen, P. Raisanen, Scattering of light by large Saharan dust particles in a modified ray optics approximation. J. Geophys. Res. 108(D1), 4025 (2003)

    Article  Google Scholar 

  190. L.M. Novak, M.C. Burl, Optimal speckle reduction in polarimetric SAR imagery. IEEE Trans. Aerosp. Electron. Syst. 26, 293–305 (1990)

    Article  ADS  Google Scholar 

  191. F. Nunziata, A. Gambardella, M. Migliaccio, On the mueller scattering matrix for SAR Sea oil slick observation. IEEE Geosci. Remote Sens. Lett. 5, 691–695 (2008)

    Article  ADS  Google Scholar 

  192. V.R. Oberbeck, E.F. Danielsen, K.G. Snetsinger, G.V. Ferry, Effect of the eruption of El Chichon on stratospheric aerosol size and composition. J. Geophys. Lett. 10, 1021–1024 (1983)

    Article  ADS  Google Scholar 

  193. E.A. Oberemok, S.N. Savenkov, Structure of deterministic Mueller matrices and their reconstruction in the method of three input polarizations. J. Appl. Spectrosc. 70, 224–229 (2003)

    Article  Google Scholar 

  194. Y. Oh, Radar remote sensing of soil moisture and surface roughness for vegetated surfaces. Korean J. Remote Sens. 24, 427–436 (2008)

    Google Scholar 

  195. R. Ossikovski, Interpretation of nondepolarizing Mueller matrices based on singular-value decomposition. J. Opt. Soc. Am. A 25, 473–482 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  196. R. Ossikovski, Analysis of depolarizing Mueller matrices through a symmetric decomposition. J. Opt. Soc. Am. A 26, 1109–1118 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  197. R. Ossikovski, A. De Martino, S. Guyot, Forward and reverse product decompositions of depolarizing Mueller matrices. Opt. Lett. 32, 689–691 (2007)

    Article  ADS  Google Scholar 

  198. N.G. Parke III, Matrix optics. Ph.D. thesis, Massachusetts Institute of Technolody, Cambidge, MA, 1948

    Google Scholar 

  199. N.G. Parke III, Optical algebra. J. Math. Phys. 28, 131–139 (1949)

    MathSciNet  MATH  Google Scholar 

  200. E.M. Patterson, D.A. Gillete, B.H. Stockton, Complex index of refraction between 300 and 700 nm for Saharan aerosols. J. Geophys. Res. 82(C21), 3153–3160 (1977)

    Article  ADS  Google Scholar 

  201. R. Penrose, A generalized inverse for matrices. Proc. Cambridge Philos. Soc. 151, 406–413 (1955)

    Article  MathSciNet  ADS  Google Scholar 

  202. F. Perrin, Polarization of light scattering by isotropic opalescent media. J. Chem. Phys. 10, 415–427 (1942)

    Article  ADS  Google Scholar 

  203. M.W.P. Petryk, Promising spectroscopic techniques for the portable detection of condensed-phase contaminants on surfaces. Appl. Sp. Rev. 42, 287–343 (2007)

    Article  Google Scholar 

  204. M.M. Pospergelis, Spectroscopic measurements of the four stokes parameters for light scattered by natural objects. Sov. Phys. Astronom. 12, 973–976 (1969)

    ADS  Google Scholar 

  205. R.J. Potton, Reciprocity in optics. Rep. Prog. Phys. 67, 717–754 (2004)

    Article  ADS  Google Scholar 

  206. A.V. Priezzhev, V.V. Tuchin, L.P. Shubochkin, Laser Diagnostics in Biology and Medicine (Nauka, Moscow, 1989) (in Russian)

    Google Scholar 

  207. C. Proisy, E. Mougin, F. Fromard, M.A. Karam, Interpretation of polarimetric radar signatures of mangrove forests. Remote Sens. Environ. 71, 56–66 (2000)

    Article  Google Scholar 

  208. J.M. Prospero, P.J. Lamb, African droughts and dust transport to the Caribbean: climate change implications. Science 302, 1024–1027 (2003)

    Article  ADS  Google Scholar 

  209. R.F. Pueschel, P.B. Russell, D.A. Allend, G.V. Ferry, K.G. Snetsinger, J.M. Livingston, S. Verma, Physical and optical properties of the Pinatubo volcanic aerosol: aircraft observations with impactors and a Sun-tracking photometer. J. Geophys. Lett. 99(12), 915–922 (1994)

    Google Scholar 

  210. M.S. Quinby-Hunt, P.G. Hull, A.J. Hunt, Polarized light scattering in the marine environment, in Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications, ed. by M.I. Mishchenko, J.W. Hovenier, L.D. Travis (Academic, San Diego, 2000), pp. 525–554

    Chapter  Google Scholar 

  211. J.C. Ranasinghesagara, G. Yao, Imaging 2D optical diffuse reflectance in skeletal muscle. Opt. Express 15, 3998–4007 (2007)

    Article  ADS  Google Scholar 

  212. T.W. Ray, T.G. Farr, J.J. van Zyl, Detection of land degradation with polarimetric SAR. Geophys. Res. Lett. 19, 1587–1590 (1992)

    Article  ADS  Google Scholar 

  213. J.A. Richards, P.W. Woodgate, A.K. Skidmore, An explanation of enhanced radar backscattering from flooded forests. Int. J. Remote Sens. 18, 1319–1332 (1987)

    Google Scholar 

  214. L.F. Rojas-Ochoa, D. Lacoste, R. Lenke et al., Depolarization of backscattered linearly polarized light. J. Opt. Soc. Am. A 21, 1799–1804 (2004)

    Article  ADS  Google Scholar 

  215. W.I. Rose, Interaction of aircraft and explosive eruption clouds: a volcanologist’s perspective. AIAA J. 25, 52 (1986)

    Article  ADS  Google Scholar 

  216. A.-B. Salberg, S. Solberg, D.J. Weydahl, R. Astrup, Leaf Area Index Estimation using ENVISAT ASAR and Radarsat-2. Note No.SAMBA/30/09 (Norwegian Computing Center, NR, 2009)

    Google Scholar 

  217. G.C. Salzmann, S.B. Singham, R.G. Johnston, C.F. Bohren, Light scattering and cytometry, in Flow Cytometry and Sorting, ed. by M.R. Melamed, T. Lindmo, M.L. Mendelsohn (Wiley, New York, 1990), pp. 81–107

    Google Scholar 

  218. V. Sankaran, J.T. Walsh Jr., D.J. Maitland, Comparative study of polarized light propagation in biologic tissues. J. Biomed. Opt. 7, 300–306 (2002)

    Article  ADS  Google Scholar 

  219. S.N. Savenkov, L.T. Mishchenko, R.S. Muttiah, Y.A. Oberemok, I.A. Mishchenko, Mueller polarimetry of virus-infected and healthy wheat under field and microgravity conditions. JQSRT 88, 327–343 (2004)

    Article  ADS  Google Scholar 

  220. S.N. Savenkov, Optimization and structuring of the instrument matrix for polarimetric measurements. Opt. Eng. 41, 965–972 (2002)

    Article  ADS  Google Scholar 

  221. S.N. Savenkov, Analysis of generalized polarimetric measurement equation. Proc SPIE 6682, 668214 (2007)

    Article  Google Scholar 

  222. S.N. Savenkov, K.E. Yushtin, New classes of objects in polarimetry including the isotropic depolarization. Radiotechnika 116, 3–11 (2000) (in Russian)

    Google Scholar 

  223. S.N. Savenkov, R.S. Muttiah, Inverse polarimetry and light scattering from leaves, in Photopolarimetry in Remote Sensing, ed. by G. Videen, Y. Yatskiv, M. Mishchenko (Springer, Dordrecht, 2004)

    Google Scholar 

  224. S.N. Savenkov, R.S. Muttiah, Y.A. Oberemok, Transmitted and reflected scattering matrices from an English oak leaf. Appl. Opt. 42, 4955–4962 (2003)

    Article  ADS  Google Scholar 

  225. S.N. Savenkov, O.I. Sydoruk, R.S. Muttiah, The conditions for polarization elements to be dichroic and birefringent. J. Opt. Soc. Am. A 22, 1447–1452 (2005)

    Article  ADS  Google Scholar 

  226. S.N. Savenkov, V.V. Marienko, E.A. Oberemok, O.I. Sydoruk, Generalized matrix equivalence theorem for polarization theory. Phys. Rev. E. 74, 056607 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  227. S.N. Savenkov, R.S. Muttiah, K.E. Yushtin, S.A. Volchkov, Mueller-matrix model of an inhomogeneous, linear, birefringent medium: single scattering case. J. Quant. Spectrosc. Radiat. Transf. 106, 475–486 (2007)

    Article  ADS  Google Scholar 

  228. S.N. Savenkov, O.I. Sydoruk, R.S. Muttiah, Eigenanalysis of dichroic, birefringent, and degenerate polarization elements: a Jones-calculus study. Appl. Opt. 46, 6700–6709 (2007)

    Article  ADS  Google Scholar 

  229. D.S. Saxon, Tensor scattering matrix for electromagnetic fields. Phys. Rev. 100, 1771–1775 (1955)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  230. J.M. Schmitt, G. Kumar, Turbulent nature of refractive-index variations in biological tissue. Opt. Lett. 21, 1310–1312 (1996)

    Article  ADS  Google Scholar 

  231. Z. Sekera, Scattering matrices and reciprocity relationships for various representations of the state of polarization. J. Opt. Soc. Am. 56, 1732–1740 (1966)

    Article  ADS  Google Scholar 

  232. D.B. Shapiro, P.G. Hull, A.J. Hunt, J.E. Hearst, Calculations of the Mueller scattering matrix for a DNA plectonemic helix. J. Chem. Phys. 101, 4214–4221 (1994)

    Article  ADS  Google Scholar 

  233. D.B. Shapiro, M.F. Maestre, W.M. McClain, P.G. Hull, Y. Shi, M.S. Quinby-Hunt, J.E. Hearst, A.J. Hunt, Determination of the average orientation of DNA in the octopus sperm Eledone cirrhossa through polarized light scattering. Appl. Optics. 33, 5733–5744 (1994)

    Article  ADS  Google Scholar 

  234. Y. Shindo, Applications of polarized modulator technique in polymer science. Opt. Eng. 34, 3369–3384 (1995)

    Article  ADS  Google Scholar 

  235. W.A. Shurcliff, Polarized Light: Production and Use (Harvard University Press, Harvard, 1962)

    Google Scholar 

  236. M. Sikdar, S. MacIntosh, I. Cumming, B. Brisco, Incorporating a vegetation index into a soil moisture retrieval model: results from Conair-580 SAR data, in Proceedings of the IGARSS (2005), pp. 383–386

    Google Scholar 

  237. R. Simon, The connection between Mueller and Jones matrices of polarization optics. Opt. Commun. 42, 293–297 (1982)

    Article  ADS  Google Scholar 

  238. R. Simon, Mueller matrices and depolarization criteria. J. Mod. Opt. 34, 569–575 (1987)

    Article  ADS  MATH  Google Scholar 

  239. G. Sinclair, Transmission and reception of elliptically polarized waves. Proc. IRE 38, 148–151 (1950)

    Article  ADS  Google Scholar 

  240. M.H. Smith, Interpreting Mueller matrix images of tissues. Proc. SPIE. 4257, 82–89 (2001)

    Article  ADS  Google Scholar 

  241. M.H. Smith, Optimization of a dual-rotating-retarder Mueller matrix polarimeter. Appl. Opt. 41, 2488–2495 (2002)

    Article  ADS  Google Scholar 

  242. K.G. Snetsinger, G.V. Ferry, P.B. Russell, R.F. Pueschel, V.R. Oberbeck, Effects of El Chichon on stratospheric aerosols late 1982 to early 1984. J. Geophys. Res. 92(14), 761–771 (1987)

    Google Scholar 

  243. S. Solberg, A. Brunner, K.H. Hanssen, H. Lange, E. Nusset, M. Rautiainen, P. Stenberg, Mapping LAI in a Norway spruce forest using airborne laser scanning. Remote Sens. Environ. 113, 2317–2327 (2009)

    Article  Google Scholar 

  244. P. Solleillet, Sur les paramètres caractérisant la polarisation partielle de la lumière dans les phénomènes de fluorescence. Ann. Phys. Biol. Med. 12, 23–97 (1929)

    Google Scholar 

  245. R. Sridhar, R. Simon, Normal form for Mueller matrices in polarization optics. J. Mod. Opt. 41, 1903–1915 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  246. R.C.N. Studinski, I.A. Vitkin, Methodology for examining polarized light interactions with tissues and tissue-like media in the exact backscattering direction. J. Biomed. Opt. 5, 330–337 (2000)

    Article  ADS  Google Scholar 

  247. M.K. Swami, S. Manhas, P. Buddhiwant, N. Ghosh, A. Uppal, P.K. Gupta, Polar decomposition of 3x3 Mueller matrix: a tool for quantitative tissue polarimetry. Opt. Express 14, 9324–9337 (2006)

    Article  ADS  Google Scholar 

  248. S.T. Tang, H.S. Kwok, 3x3 Matrix for unitary optical systems. J. Opt. Soc. Am. A 18, 2138–2145 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  249. R. Touzi, A. Lopes, The principle of speckle filtering in polarimetric SAR imagery. IEEE Trans. Geosci. Remote Sens. 32, 1110–1114 (1994)

    Article  ADS  Google Scholar 

  250. R. Touzi, W.M. Boerner, J.S. Lee, E. Lueneburg, A review of polarimetry in the context of synthetic aperture radar: concepts and information extraction. Can. J. Remote Sensing 30, 380–407 (2004)

    Article  Google Scholar 

  251. L. Tsang, J.A. Kong, R.T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985)

    Google Scholar 

  252. S.R. Tsitas, Y.L. Yung, The effect of volcanic aerosols on ultraviolet radiation in Antarctica. Geophys. Res. Lett. 23, 157–160 (1996)

    Article  ADS  Google Scholar 

  253. V.V. Tuchin, Lasers light scattering in biomedical diagnostics and therapy. J. Laser Appl. 5, 43–60 (1993)

    Article  ADS  Google Scholar 

  254. V.V. Tuchin (ed.), Selected Papers on Tissue Optics Applications in Medical Diagnostics and Therapy (SPIE Press, Bellingham, 1994)

    Google Scholar 

  255. V.V. Tuchin (ed.), Handbook of Optical Biomedical Diagnostics (SPIE Press, Bellingham, 2002)

    Google Scholar 

  256. V.V. Tuchin, L.V. Wang, D.A. Zimnyakov, Optical Polarization in Biomedical Applications (Springer, Berlin, 2006)

    Google Scholar 

  257. K.M. Twietmeyer, R.A. Chipman, A.E. Elsner et al., Mueller matrix retinal imager with optimized polarization conditions. Opt. Express 16, 21339–21354 (2008)

    Article  ADS  Google Scholar 

  258. K. Twietmeyer, R.A. Chipman, Optimization of Mueller polarimeters in the presence of error sources. Opt. Express 16, 11589–11603 (2008)

    Article  Google Scholar 

  259. J.S. Tyo, Z. Wang, S.J. Johnson, B.G. Hoover, Design and optimization of partial Mueller matrix polarimeters. Appl. Opt. 49, 2326–2333 (2010)

    Article  ADS  Google Scholar 

  260. N. Ugryumova, S.V. Gangnus, S.J. Matcher, Three-dimensional optic axis determination using variable-incidence-angle polarization-optical coherence tomography. Opt. Lett. 31, 2305–2307 (2006)

    Article  ADS  Google Scholar 

  261. F.T. Ulaby, C.T. Allen, G. Eger III, Relating the microwave backscattering coefficient to leaf area index. Remote Sens. Environ. 14, 113–133 (1984)

    Article  Google Scholar 

  262. G.R. Valenzuela, Depolarization of EM waves by slightly rough surfaces. IEEE Trans. Antennas Propagat. AP-15(4), 552–557 (1967)

    Article  ADS  Google Scholar 

  263. H.C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957)

    Google Scholar 

  264. W.P. van de Merwe, D.R. Huffman, B.V. Bronk, Reproducibility and sensitivity of polarized light scattering for identifying bacterial suspensions. Appl. Opt. 28, 5052–5057 (1989)

    Article  ADS  Google Scholar 

  265. W.P. van de Merwe, Z.-Z. Li, B.V. Bronk, J. Czege, Polarized light scattering for rapid observation of bacterial size changes. Biophys. J. 73, 500–506 (1997)

    Article  Google Scholar 

  266. C.V.M. van der Mee, An eigenvalue criterion for matrices transforming Stokes parameters. J. Math. Phys. 34, 5072–5088 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  267. C.V.M. van der Mee, J.W. Hovenier, Structure of matrices transforming Stokes parameters. J. Math. Phys. 33, 3574–3584 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  268. J.J. van Zyl, Unsupervised classification of scattering behavior using radar polarimetry data. IEEE Trans. Geosci. Remote Sens. 27, 37–45 (1989)

    Google Scholar 

  269. J.J. van Zyl, Application of Cloude’s target decomposition theorem to polarimetric imaging radar data. Proc. SPIE 1748, 184–191 (1992)

    Google Scholar 

  270. J.J. van Zyl, F.T. Ulaby, Scattering matrix representation for simple targets, in Radar polarimetry for geosciences applications, ed. by F.T. Ulaby, C. Elachi. (Artech House, Norwood, 1990)

    Google Scholar 

  271. J.J. van Zyl, H.A. Zebker, Imaging radar polarimetry, in PIER 3, Progress in Electromagnetics Research (Elsevier, New York, 1990)

    Google Scholar 

  272. J.J. van Zyl, H.A. Zebker, C. Elachi, Imaging radar polarization signatures: theory and observation. Radio Science 22, 529–543 (1987)

    Article  ADS  Google Scholar 

  273. N. Vansteenkiste, P. Nignolo, A. Aspect, Optical reversibility theorems for polarization: application to remote control of polarization. J. Opt. Soc. Am. A 10, 2240–2245 (1993)

    Article  ADS  Google Scholar 

  274. H. Volten, O. Munoz, E. Rol, J.F. de Haan, W. Vassen, J.W. Hovenier, K. Muinonen, T. Nousianen, Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm. J. Geophys. Res. 106, 17, 375 (2001)

    Google Scholar 

  275. K.J. Voss, E.S. Fry, Measurement of the Mueller matrix for ocean water. Appl. Opt. 23, 4427–4436 (1984)

    Article  ADS  Google Scholar 

  276. L.V. Wang, G.L. Coté, S.L. Jacques (eds.), Special section on tissue polarimetry. J. Biomed. Opt. 7, 278–397 (2002)

    Google Scholar 

  277. Y. Wang, M.L. Imhoff, Simulated and observed L-HH radar backscatter from tropical mangrove forests. Int. J. Remote Sens. 14, 2819–2828 (1993)

    Article  ADS  Google Scholar 

  278. Y. Wang, L.L. Hess, S. Filoso, J.M. Melack, Understanding the radar backscattering from flooded and non flooded Amazonian forests: results from canopy backscatter modeling. Remote Sens. Environ. 54, 324–332 (1995)

    Article  Google Scholar 

  279. R.A. West, L.R. Doose, A.M. Eibl, M.G. Tomasko, M.I. Mishchenko, Laboratory measurements of mineral dust scattering phase function and linear polarization. J. Geophys. Res. 102, 16871–16881 (1997)

    Article  ADS  Google Scholar 

  280. C. Whitney, Pauli-algebraic operators in polarization optics. J. Opt. Soc. Am. 61, 1207–1213 (1971)

    Article  ADS  Google Scholar 

  281. M.F.G. Wood, X. Guo, I.A. Vitkin, Polarized light propagation in multiply scattering media exhibiting both linear birefringence and optical activity: Monte Carlo model and experimental methodology. J. Biomed. Opt. 12, 014029 (2007)

    Article  ADS  Google Scholar 

  282. M.F.G. Wood, N. Ghosh, E.H. Moriyama et al., Proof-of-principle demonstration of a Mueller matrix decomposition method for polarized light tissue characterization in vivo. J. Biomed. Opt. 14, 014029 (2009)

    Article  ADS  Google Scholar 

  283. I.H. Woodhouse, Predicting backscatter-biomass and height-biomass trends using a macroecology model. IEEE Trans. Geosci. Remote Sens. GRS-44, 871–877 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  284. T. Xie, S. Guo, J. Zhang, Z. Chen, G.M. Peavy, Use of polarization-sensitive optical coherence tomography to determine the directional polarization sensitivity of articular cartilage and meniscus. J. Biomed. Opt. 11, 064001 (2006)

    Article  ADS  Google Scholar 

  285. Z.-F. Xing, On the deterministic and nondeterministic Mueller matrix. J. Mod. Opt. 39, 461–484 (1992)

    Article  ADS  Google Scholar 

  286. L. Xu, J. Ding, A.Y.S. Cheng, Scattering matrix of infrared radiation by ice finite circular cylinders. Appl. Opt. 41, 2333–2348 (2002)

    Article  ADS  Google Scholar 

  287. F.A. Zebker, J.J. van Zyl, Imaging radar polarimetry: a review. Proc. IEEE 79, 1583–1606 (1991)

    Article  ADS  Google Scholar 

  288. S. Zietz, A. Belmont, C. Nicolini, Differential scattering of circularly polarized light as an unique probe of polynucleosome superstructures. Cell Biophys. 5, 163–187 (1983)

    Google Scholar 

  289. E. Zubko, Y.G. Shkuratov, G. Videen, Coherent backscattering effect for non-zero elements of Mueller matrix of discrete media at different illumination-observation geometries. J. Quant. Spectrosc. Radiat. Transf. 89, 443–452 (2004)

    Article  ADS  Google Scholar 

  290. O. Munoz, H. Volten, J.W. Hovenier, T. Nousiainen, K. Muinonen, D. Guirado, F. Moreno, L.B.F.M. Waters, Scattering matrix of large Saharan dust particles: experiments and computations. J. Geophys. Res. 112, D13215 (2007)

    Article  ADS  Google Scholar 

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  1. Department of Radiophysics, Kyiv Taras Shevchenko University, Kyiv, Ukraine

    Sergey N. Savenkov

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  1. , Chair of Optics and Biophotonics, Saratov State University, Astrakhanskaya str. 83, Saratov, 410012, Russia

    Valery V. Tuchin

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Savenkov, S.N. (2013). Mueller Matrix Polarimetry in Material Science, Biomedical and Environmental Applications. In: Tuchin, V. (eds) Handbook of Coherent-Domain Optical Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5176-1_29

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