Skip to main content

Analysis of Layered Media Terminated with an Impedance Surface Varying in Lateral Directions

  • Chapter
Applied Computational Electromagnetics

Part of the book series: NATO ASI Series ((NATO ASI F,volume 171))

  • 489 Accesses

Abstract

Determination of the constitutive parameters of a region from data provided by remote sensing is an extremely interesting and important topic from various points of view. In a large class of problems of this type, the region to be explored is not bounded but layered. When a layered region is electromagnetically penetrable from both sides, it can be explored through some already known methods dwelling on the analytical expressions of the reflection and refraction coefficients. But the situation is quite converse if both sides of the layered media is not accessible. This work is devoted to the case where the layered media to be explored is limited from one side by an impedance plane whose impedance varies in one direction while the other side is not accessible. It is assumed that the impedance of the plane boundary consists of n parts having constant impedances. The atmosphere above the earth surface constitutes a typical example of such a configuration.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I. Kay, “The inverse scattering problem when the reflection coefficient is a rational function,” Com. Pure and Appl Math., vol. 12, pp. 371–393, 1960

    Article  MathSciNet  Google Scholar 

  2. G. N. Balanis, “The plasma inverse problem,” J. Math. Phys., 13, pp. 1001-1005, 1972.

    Article  MathSciNet  Google Scholar 

  3. S. Coen, “Inverse scattering of a layered and dispersionless dielectric half-space, Part-I: reflection data from plane waves at a normal incidence,” IEEE Trans. Antennas Propagat., vol. 29, pp. 726–732, 1981

    Article  Google Scholar 

  4. G. N. Balanis, “Inverse scattering: determination of inhomogeneities in sound speed,” J. Math. Phys., vol. 23, pp. 2562–2563, 1982.

    Article  MathSciNet  MATH  Google Scholar 

  5. D. L. Jaggard and P. V. Frangos, “The electromagnetic inverse scattering problem for layered dispertionless dielectrics,” IEEE Trans. Antennas Propagat., vol. 35, pp. 934–946, 1987.

    Article  MathSciNet  MATH  Google Scholar 

  6. T. Uno and S. Adachi, “Inverse scattering method for one-dimensional inhomogeneous layered media,” IEEE Trans. Antennas Propagat., vol. 35, pp. 1456–1466, 1987.

    Article  MathSciNet  MATH  Google Scholar 

  7. I. M. Gel’fand and B. M. Levitan, “On the determination of a differential equation by its spectral function,”Amer. Math. Soc. Transl., vol. 1, pp. 253–304, 1955.

    MathSciNet  Google Scholar 

  8. V. A. Marchenko, “Reconstruction of the potential energy from the phase of scattered waves,” Dokl. Akad. Nauk., vol. 55, no. 104, pp. 635–698, 1955.

    Google Scholar 

  9. M. Idemen and I. Akduman, “One-dimensional profile inversion of a half-space over a two-part impedance ground,” IEEE Trans. Antennas Propagat., vol. 44, pp. 933–942, 1996.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. Idemen, A. Alkumru and I. Akduman, “One-dimensional profile inversion of a half-space bounded by a three-part impedance ground,” Inverse Problems, vol. 12, pp. 641–666, 1966

    Article  MathSciNet  Google Scholar 

  11. B. Noble, Methodsbased on the Wiener-Hopf techniques, Pergamon Press, N.Y., 1958

    Google Scholar 

  12. D. S. Jones, The theory of electromagnetism, Pergamon Press, N.Y., 1964.

    MATH  Google Scholar 

  13. M. Idemen, “On the functional equation related to the three-part mixed boundary-value problems,” SIAMJ. Appl Math., vol. 27, pp. 404–415, 1974.

    Article  MathSciNet  MATH  Google Scholar 

  14. M. Idemen, “Universal boundary relations of the electromagnetic Field,” J. Phys. Japan, vol. 59, pp. 71–80, 1990

    Article  Google Scholar 

  15. M. Idemen, “Universal boundary conditions and Cauchy data for the electromagnetic field,” in: Essays on the formal aspects of electromagnetic theory, pp. 657–698, A. Lakhtakia (ed.), World Scientific Co. Singapor, 1993.

    Chapter  Google Scholar 

  16. K. Yoshida, Functional analysis, Springer-Verlag, Berlin, 1971.

    Google Scholar 

  17. D. V. Widder, The Laplace transform, Princeton Univ. Press, N.Y., 1946.

    Google Scholar 

  18. I. M. Gel’fand and G. E. Shilov, Les distributions, vol. 1, Dunod, Paris, 1962.

    Google Scholar 

  19. J. W. Brown and R. V. Churchill, Complex variables and applications, 6th ed., Mc Graw-Hill Inc., N.Y., 1996.

    Google Scholar 

  20. F. D. Gakhov, Boundary-value problems, Pergamon Press, N.Y., 1966.

    MATH  Google Scholar 

  21. T. B. A. Senior, “Half-plane diffraction,” Radio Sc., vol. 10, pp. 645–650, 1975.

    Article  Google Scholar 

  22. R. Kress, Linear integral equations, Springer-Verlag, Berlin, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Idemen, M., Alkumru, A. (2000). Analysis of Layered Media Terminated with an Impedance Surface Varying in Lateral Directions. In: Uzunoglu, N.K., Nikita, K.S., Kaklamani, D.I. (eds) Applied Computational Electromagnetics. NATO ASI Series, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59629-2_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-59629-2_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64059-9

  • Online ISBN: 978-3-642-59629-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics