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Optical Resonator

  • Chapter
Solid-State Laser Engineering

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 1))

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Abstract

The light emitted by most lasers contains several discrete optical frequencies, separated from each other by frequency differences which can be associated with different modes of the optical resonator. It is common practice to distinguish two types of resonator modes: “Longitudinal” modes differ from one another only in their oscillation frequency; “transverse” modes differ from one another not only in their oscillation frequency, but also in their field distribution in a plane perpendicular to the direction of propagation. Corresponding to a given transverse mode are a number of longitudinal modes which have the same field distribution as the given transverse mode but which differ in frequency.

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References

  1. A.G. Fox, T. Li: Bell Syst. Tech. J. 40, 453 (1961)

    Google Scholar 

  2. G.D. Boyd, J.P. Gordon: Bell Syst. Tech. J. 40, 489 (1961)

    Google Scholar 

  3. G.D. Boyd, H. Kogelnik: Bell Syst. Tech. J. 41, 1347 (1962)

    Google Scholar 

  4. K. Kogelnik, T. Li: Appl. Opt. 5, 1550 (1966)

    ADS  Google Scholar 

  5. H. Kogelnik: In Lasers I, ed. by A.K. Levine ( Dekker, New York 1966 ) pp. 295–347

    Google Scholar 

  6. H.K.V. Lotsch: Optik 28, 65, 328, 555 (1968/1969); Optik 29, 130, 662, (1969); and Optik 30, 1, 181, 217, 563 (1969)

    Google Scholar 

  7. J.S. Kruger: Electro-Opt. Syst. Designs 12 (September 1972)

    Google Scholar 

  8. R.J. Freiberg, A.S. Halsted: Appl. Opt. 8, 335 (1969)

    ADS  Google Scholar 

  9. G. Goubau, F. Schwering: IRE Trans. Ant. and Prop. AP-9, 248 (1961)

    Google Scholar 

  10. J.R. Pierce: Proc. Nat. Acad. Sci. 47, 1808 (1961)

    ADS  Google Scholar 

  11. T. Li: Bell Syst. Tech. J. 44, 917 (1965)

    Google Scholar 

  12. L.A. Vainshtein: Soy. Phys. JETP 44, 1050 (1963)

    Google Scholar 

  13. L.A. Vainshtein: Soy. Phys. JETP 17, 709 (1963)

    Google Scholar 

  14. D.E. McCumber: Bell Syst. Tech. J. 44, 333 (1965)

    Google Scholar 

  15. B.A. See: Laser resonator, properties of laser beams and design of optical systems. N68–16910, Weapons Research Establishment, Salisbury, South Australia (1967)

    Google Scholar 

  16. J.S. Kruger: Beam divergence for various transverse laser modes. Report AD-729–299, Harry Diamond Lab., Washington, DC (1971)

    Google Scholar 

  17. G.L. McAllister, M.M. Mann, L.G. DeShazer: Transverse mode distortion in giant-pulse laser oscillators. IFFE Conf. Laser Eng. and Appl., Washington, DC (1969)

    Google Scholar 

  18. A.G. Fox, T. Li: IEEE J. 2, 774 (1966)

    Google Scholar 

  19. H. Kogelnik, Bell Syst. Tech. J. 44, 455 (1965)

    Google Scholar 

  20. H. Steffen, J.P. Lörtscher, G. Herziger: IEEE J. 8, 239 (1972)

    Google Scholar 

  21. D.R. Whitehouse, C.F. Luck, C. Van Mertens, F.A. Horrigan, M. Bass: Mode control technology for high performance solid state laser. Rept. TR ECOM-0269-F, US Army Electr. Command, Forth Monmouth, NJ (1963)

    Google Scholar 

  22. T.J. Gleason: Analysis of complex laser cavities. Rept. HDL-TM-71–5, Harry Diamond Lab., Washington, DC (1971)

    Google Scholar 

  23. D.C. Hannah. IFFF J. 5, 483 (1969)

    Google Scholar 

  24. H.W. Kogelnik: IEEE J. 8, 373 (1972)

    Google Scholar 

  25. R.B. Chesler, D. Maydan: J. Appl. Phys. 43, 2254 (1972)

    ADS  Google Scholar 

  26. A.L. Bloom: Properties of laser resonators giving uniphase wavefronts. Tech. Bulletin No. 7, Spectra Physics, Mountain View, CA (1963)

    Google Scholar 

  27. R.J. Freiberg, A.S. Halsted: Appl. Opt. 8, 335 (1969)

    ADS  Google Scholar 

  28. I.M. Belousova, O.B. Danilov: Soc. Phys. 12, 1104 (1968)

    Google Scholar 

  29. E.A. Teppo: Nd: YAG laser laboratory experiments, Tech. Note 4051–2 (Feb. 1972); Tech. Note 4051–7, Naval Weapons Center, China Lake, CA (August 1973 )

    Google Scholar 

  30. L.W. Davis: J. Appl. Phys. 39, 5331 (1968)

    ADS  Google Scholar 

  31. J.E. Geusic, H.J. Levingstein, S. Singh, R.C. Smith, L.G. Van Uitert: Appl. Phys. Lett. 12, 306 (1968)

    ADS  Google Scholar 

  32. L.M. Osterink, J.D. Forster: Appl. Phys. Lett. 12, 128 (1968)

    ADS  Google Scholar 

  33. W.C. Fricke: Appl. Opt. 9, 2045 (1970)

    ADS  Google Scholar 

  34. F.A. Levine: IEEE J. 7, 170 (1971)

    Google Scholar 

  35. W.C. Scott, M. DeWit: Appl. Phys. Lett. 18, 3 (1971)

    ADS  Google Scholar 

  36. L.G. DeShazer, E.A. Maunders: Appl. Opt. 6, 431 (1967)

    ADS  Google Scholar 

  37. H.K.V. Lotsch: Japan J. Appl. Phys. 4, 435 (1965)

    ADS  Google Scholar 

  38. D. Ryter, M.V. Alluren: IEEE J. 17, 2015 (1981)

    Google Scholar 

  39. J.P. LSrtscher, J. Steffen, G. Herziger: IFFE J. 7, 505 (1975)

    Google Scholar 

  40. H.P. Kortz, R. Ifflander, H. Weber: Appl. Opt. 20, 4124 (1981)

    ADS  Google Scholar 

  41. V. Magni: Appl. Opt. 25, 107 (1986)

    ADS  Google Scholar 

  42. V. Magni: Appl. Opt. 25, 2039 (1986)

    ADS  Google Scholar 

  43. S. DeSilvestri, P. Laporta, V. Magni: Opt. Commun. 57, 339 (1986)

    ADS  Google Scholar 

  44. N.K. Berger, N.A. Deryugin, Y.N. Lukyanov, Y.E. Studenikin: Opt. Spectrosc. USSR 43, 176 (1977)

    ADS  Google Scholar 

  45. R. Hauck, H.P. Kortz, H. Weber: Appl. Opt. 19, 598 (1980)

    ADS  Google Scholar 

  46. D.C. Hanna, S.G. Sawyers, M.A. Yuratich; Opt. Quantum Electron. 13, 493 (1981)

    ADS  Google Scholar 

  47. D.C. Hanna. S.G. Sawyers, M.A. Yuratich: Opt. Commun. 37, 359 (1981)

    ADS  Google Scholar 

  48. P.H. Sarkies: Opt. Commun. 31, 189 (1979)

    ADS  Google Scholar 

  49. M. Born, E. Wolf: Principles of Optics ( Pergamon, New York 1964 )

    Google Scholar 

  50. F.A. Jenkins, H.E. White: Fundamental of Optics ( McGraw-Hill, New York 1957 )

    Google Scholar 

  51. K. Iizuka: Engineering Optics, 2nd ed., Springer Ser. Opt. Sci. Vol. 35 ( Springer, Berlin, Heidelberg 1986 )

    Google Scholar 

  52. J.K. Watts: Appl. Opt. 7, 1621 (1968)

    ADS  Google Scholar 

  53. M. Hercher: Appl. Opt. 8, 1103 (1969)

    ADS  Google Scholar 

  54. B.L. Booth: S.M. Jarrett, G.C. Barker: Appl. Opt. 9, 107 (1970)

    ADS  Google Scholar 

  55. A. Yariv: Quantum Electronics, 3rd ed. (Wiley, New York (1988) Sect. 21. 1

    Google Scholar 

  56. B. Zhou, T.J. Kane, GJ. Dixon, R.L. Byer: Opt. Lett. 10, 62 (1985)

    ADS  Google Scholar 

  57. D.A. Kleinman, P.P. Kisliuk: Bell Syst. Tech. J. 41, 453 (1962)

    Google Scholar 

  58. H.K.V. Lotsch: A modified Fabry-Perot interferometer as a discrimination filter and a modulator for longitudinal modes. Sci. Rept. No.2, US Air Force Contract AFI9(604)-8052 (1962)

    Google Scholar 

  59. S.A. Collins, G.R. White: Appl. Opt. 2, 448 (1963)

    Google Scholar 

  60. L.A. Rahn: Appl. Opt. 24, 940 (1985)

    ADS  Google Scholar 

  61. M. Hercher: Appl. Phys. Lett. 7, 39 (1965)

    ADS  Google Scholar 

  62. D.G. Peterson, A. Yariv: Appl. Opt. 5, 985 (1966)

    ADS  Google Scholar 

  63. R.M. Schotland: Appl. Opt. 9, 1211 (1970)

    ADS  Google Scholar 

  64. M. Daehler, G.A. Sawyer, E.L. Zimmermann: J. Appl. Phys. 38, 1980 (1967)

    Google Scholar 

  65. G. Magyar: Rev. Sci. Instr. 38, 517 (1967)

    ADS  Google Scholar 

  66. M.M. Johnson, A.H. LaGrone: Appl. Opt. 12, 510 (1973)

    ADS  Google Scholar 

  67. W.B. Tiffany: Appl. Opt. 7, 67 (1968)

    ADS  Google Scholar 

  68. F.J. McClung, D. Weiner IFFE J. 1, 94 (1965)

    Google Scholar 

  69. P.W. Smith: Proc IEEE 60, 422 (1972)

    Google Scholar 

  70. W. Wiesemann: Appl. Opt. 12, 2909 (1973)

    ADS  Google Scholar 

  71. E. Snitzer Appl. Opt. 5, 121 (1966)

    Google Scholar 

  72. N.M. Galaktionova, G.A. Garkavi, V.F. Egorova, A.A. Mak, V.A. Fromzel: Opt. Spectrosc. 28, 404 (1970)

    Google Scholar 

  73. W. Culshaw, J. Kannelaud: IEEE J. 8, 383 (1971)

    Google Scholar 

  74. W. Culshaw, J. Kannelaud, J.E. Peterson: IF.FE J. 10, 253 (1974)

    Google Scholar 

  75. M.G. Danielmeyer, W.N. Leibolt: Appl. Phys. 3, 193 (1974)

    ADS  Google Scholar 

  76. D. Röss: Appl. Phys. Lett. 8, 109 (1966)

    ADS  Google Scholar 

  77. M.P. Vanyukov, V.I. Isaenko, L.A. Luizova, A. Shorokhov: Opt. Spectrosc. 20, 535 (1966)

    ADS  Google Scholar 

  78. H.G. Danielmeyer: IEEE J. 6, 101 (1970)

    Google Scholar 

  79. R.L. Schmitt, L.A. Rahn: Appl. Opt. 25, 629 (1986)

    ADS  Google Scholar 

  80. B.H. Soffer: J. Appl. Phys. 35, 2551 (1964)

    ADS  Google Scholar 

  81. B.B. McFarland, R.H. Hoskins, B.H. Soffer: Nature 207, 1180 (1965)

    ADS  Google Scholar 

  82. J.E. Bjorkholm, R.H. Stolen: J. Appl. Phys. 39, 4043 (1968)

    ADS  Google Scholar 

  83. K. Yoshino, K. Kawabe, Y. Inuiski: Jpn. J. Appl. Phys. 8, 1168 (1969)

    ADS  Google Scholar 

  84. R.F. Wuerker: SPIE J. 12, 122 (1971);

    Google Scholar 

  85. K.A. Arunkumar, J D Trolinger: Opt. Engineering 27, 657 (1988)

    ADS  Google Scholar 

  86. W.R. Sooy: Appl. Phys. Lett. 7, 36 (1965)

    ADS  Google Scholar 

  87. E.S. Fry, Q. Hu, X. Li: Appl. Opt. 30, 1015 (1991)

    ADS  Google Scholar 

  88. D.C. Hanna: Electron. Lett. 8, 369 (1972)

    Google Scholar 

  89. D.C. Hanna, B. Luther-Davis, H.N. Rutt, R.C. Smith: Opto-Electronics 3, 163 (1971)

    Google Scholar 

  90. D.C. Hanna, B. Luther-Davis, R.C. Smith: Opto-Electronics 4, 249 (1972)

    Google Scholar 

  91. C.L. Tang, H. Statz, G.A. DeMars, D.T. Wilson: Phys. Rev. 136, Al (1964)

    Google Scholar 

  92. A.M. Bonch-Bruevich, A.Yu. Petrun’kin, N.A. Esepkina; S.V. Kruzhalov, L.N. Pakhomov, V.A. Chemov, S.L. Galkin: Soy. Phys. 12, 1495 (1968)

    Google Scholar 

  93. A.R. Clobes, MJ. Brienza: Appl. Phys. Lett. 21, 265 (1972)

    ADS  Google Scholar 

  94. V. Yu. Petrun’kin, LN. Pakhomov, S.V. Kruzhalov, N.M Kozhevnikov: Soy. Phys. 17, 1222 (1973)

    Google Scholar 

  95. A. Biraben: Opt. Commun. 29, 353 (1979)

    ADS  Google Scholar 

  96. O.E. Nanii, A.N. Shelaev: Soy. J. Quant. Electron. 14, 638 (1984)

    ADS  Google Scholar 

  97. G.A. Rines, P.F. Moulton, M.G. Knights: CLEO ‘87 (Baltimore, MD) paper ThQ1

    Google Scholar 

  98. T.J. Kane, R.J. Byer, Opt. Lett. 10, 65 (1985)

    ADS  Google Scholar 

  99. L.J. Bromley, D.C. Hanna: Opt. Lett. 16, 378 (1991)

    ADS  Google Scholar 

  100. D.A. Draegert: IEEE J. 8, 235 (1972)

    Google Scholar 

  101. H.G. Danielmeyer: Appl. Phys. Lett. 16, 124 (1970)

    ADS  Google Scholar 

  102. H.G. Danielmeyer: Appl. Phys. Lett. 17, 519 (1970)

    ADS  Google Scholar 

  103. W.R. Trutna, D.K. Donald, M. Nazarathy: CLEO ‘87 (Baltimore, MD) paper WN2

    Google Scholar 

  104. B. Zhou, T.J. Kane, G.I. Dixon, R.L. Byer: Opt. Lett 10, 62 (1985)

    ADS  Google Scholar 

  105. Y.K. Park, G. Giulani, R. L. Byer: Opt. Lett. 5, 96 (1980)

    ADS  Google Scholar 

  106. T. Kedmi, D. Treues: Appl. Opt. 20, 2108 (1981)

    ADS  Google Scholar 

  107. V. Evtuhov, A.E. Siegman: Appl. Opt. 4, 142 (1965)

    ADS  Google Scholar 

  108. TJ. Kane, WJ. Kozlovsky, R.L. Byer, C.E. Byvik: Opt. Lett. 12, 239 (1987)

    ADS  Google Scholar 

  109. J.F. Nester: IEEE J. 6, 97 (1970)

    Google Scholar 

  110. W. Koechner: IEEE J. 8, 656 (1972)

    Google Scholar 

  111. R.B. Chesler: Appl. Opt. 9, 2190 (1970)

    ADS  Google Scholar 

  112. G.D. Baldwin: IEEE J. 7, 179 (1971)

    Google Scholar 

  113. T. Kimura: IF.FF J. 6, 764 (1970)

    Google Scholar 

  114. H.G. Danielmeyer: J. Appl. Phys. 41, 4014 (1970)

    ADS  Google Scholar 

  115. H. Nagai: IEEE J. 8, 857 (1972)

    Google Scholar 

  116. H.G. Danielmeyer. IFFE J. 6, 101 (1970)

    Google Scholar 

  117. G.R. Hanes, B.P. Stoicheff: Nature 195, 587 (1962)

    ADS  Google Scholar 

  118. A.P. Veduta, A.M. Leontovich, V.N. Smorchkov: Soy. Phys. JETP 21, 59 (1965)

    ADS  Google Scholar 

  119. T.P. Hughes, K.M. Young: Nature 196, 332 (1962)

    ADS  Google Scholar 

  120. D.J. Bradley, G. Magyar, M.C. Richardson: Nature 212, 63 (1966)

    ADS  Google Scholar 

  121. D.A. Berkley, GJ. Wolga; J. Appl. Phys. 38, 3231 (1967)

    ADS  Google Scholar 

  122. A. Flamholz, G.J. Wolga: J. Appl. Phys. 39, 2723 (1968)

    ADS  Google Scholar 

  123. DJ. Bradley, M.S. Engwell, A.W. McCullough, G. Magyar, M.C. Richardson: Appl. Phys. Lett. 9, 150 (1966)

    ADS  Google Scholar 

  124. DJ. Bradley, M.S. Engwell, A.W. McCullough: Phil. Trans. R. Soc. (London) Ser. A 263, 225 (1968)

    Google Scholar 

  125. D. Pohl: Appl. Phys. Lett. 26, 357 (1968)

    Google Scholar 

  126. E. Ritter: Optical coatings and thin film techniques, In: Laser Handbook, ed. by F.T. Arrechi, E.O. Schulz-DuBois ( North-Holland, Amsterdam 1972 ) pp. 897–921

    Google Scholar 

  127. P. Baumeister: Handbook of Optical Design ( US Govemement Printing Office, Washington, DC 1963 )

    Google Scholar 

  128. D.S. Heavens: Optical Properties of Thin Solid Films, ( Butterworth, London 1955 )

    Google Scholar 

  129. H.A. Macleod: Thin-Film Optical Filters, 2nd ed. ( MacMillan, New York 1986 )

    Google Scholar 

  130. A. Vasicek: Optics of Thin Films ( North-Holland, Amsterdam 1960 )

    MATH  Google Scholar 

  131. A.E. Siegman: Proc. IEEE 53, 227 (1965)

    Google Scholar 

  132. A.E. Siegman, E. Arrathon: IEEE J. 3, 156 (1967)

    Google Scholar 

  133. A.E. Siegman: Appl. Opt. 13, 353 (1974) see also Lasers (Univ. Sci. Books, Mill Valley, CA 1986 )

    Google Scholar 

  134. W.H. Steier: Unstable resonators, In: Laser Handbook,ed. by M. Stitch (North-Holland, Amsterdam 1979) Vol.3

    Google Scholar 

  135. R.L. Herbst, M. Komine, R.L. Byer: Opt. Commun. 21, 5 (1977)

    ADS  Google Scholar 

  136. Yu.A. Ananev, G.N. Vinokurov, L.V. Kovalchuk, N.A. Sventsitskaya, V.E. Sherstobitov: Soy. Phys. JETP 31, 420 (1970)

    ADS  Google Scholar 

  137. R.L. Byer, R.L. Herbst: Laser Focus 48–57 (July 1978)

    Google Scholar 

  138. W.F. Krupke, W.R. Sooy: IEEE J. 5, 575 (1969)

    Google Scholar 

  139. G. Vakhimov: Radio Eng. Electron. Phys. 10, 1439 (1965)

    Google Scholar 

  140. G. Giulani, Y.K. Park, R.L. Byer: Opt. Lett. 5, 491 (1980)

    ADS  Google Scholar 

  141. J.M. Eggleston, G. Giulani, R.L. Byer: J. Opt. Soc. Am. 71, 1264 (1982)

    ADS  Google Scholar 

  142. D.T. Harter, T.C. Walling: Opt. Lett. 2, 706 (1986)

    ADS  Google Scholar 

  143. Courtey of McDonnell Douglas Astonautics Comp., St. Louis Div.

    Google Scholar 

  144. S. De Silvestri, P. Laporta, V. Magni, O. Svelto: Opt. Lett. 12, 84 (1987)

    ADS  Google Scholar 

  145. D. Andreou: Rev. Sci. Instrum. 49, 586 (1978)

    ADS  Google Scholar 

  146. T.F. Ewanizky, J.M. Craig: Appl. Opt. 15, 1465 (1976)

    ADS  Google Scholar 

  147. P.G. Gobbi, S. Morosi, G.C. Reali, A.S. Zarkasi: Appl. Opt. 24, 26 (1985)

    ADS  Google Scholar 

  148. N. McCarthy, P. Lavigne: Appl. Opt. 22, 2704–2708 (1983)

    ADS  Google Scholar 

  149. N. McCarthy, P. Lavigne: Appl. Opt. 23, 3845–3850 (1984)

    ADS  Google Scholar 

  150. D.M. Walsh, L.V. Knight: Appl. Opt. 25, 2947–2954 (1986)

    ADS  Google Scholar 

  151. A. Parent, N. McCarthy, P. Lavigne: IEEE J. 23, 222–228 (1987)

    Google Scholar 

  152. P. Lavigne, N. McCarthy, J.G. Deemers: Appl. Opt. 24, 2581–2586 (1985)

    ADS  Google Scholar 

  153. N. McCarthy, P. Lavigne: Opt. Lett. 10, 553–555 (1985)

    ADS  Google Scholar 

  154. KJ. Snell, N. McCarthy, M. Piché: Opt. Commun. 65, 377–382 (1988)

    ADS  Google Scholar 

  155. A. Parent, P. Lavigne: Appl. Opt. 28, 901–903 (1989)

    ADS  Google Scholar 

  156. C. Zizzo, C. Amone, C. Cali, S. Sciortino: Opt. Lett. 13, 342–344 (1988)

    ADS  Google Scholar 

  157. G. Emiliani, A. Piegari, S. De Silvesti, P. Laporta, V. Magni: Appl. Opt. 28, 2832–2837 (1989)

    ADS  Google Scholar 

  158. S. De Silvestri, P. Laporta, V. Magni, O. Svelto, B. Majocchi: Opt. Lett. 13, 201–203 (1988)

    ADS  Google Scholar 

  159. S. De Silvestri, P. Laporta, V. Magni, O. Svelto: IEEE J. 24, 1172–1177 (1988)

    Google Scholar 

  160. S. De Silvestri, V. Magni, O. Svelto, G. Valentini: IEEE J. 26, 1500 (1990)

    Google Scholar 

  161. S. De Silvestri, P. Laporta, V. Magni, G. Valentini, G. Cerullo: Optics Comm. 77, 179 (1990)

    ADS  Google Scholar 

  162. J.M. Yarborough, J. Hobart: Conf. on Laser Eng. Appl. Washington, DC (1973) postdeadline paper

    Google Scholar 

  163. A.L. Bloom: J. Opt. Soc. Am. 64, 447 (1974)

    ADS  Google Scholar 

  164. IJ. Hodgkinson, J.I. Vukusic: Opt. Commun. 24, 133 (1978)

    ADS  Google Scholar 

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    Dr. Walter Koechner

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Koechner, W. (1992). Optical Resonator. In: Solid-State Laser Engineering. Springer Series in Optical Sciences, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-14513-5_5

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