Skip to main content
SpringerLink
Log in

Spatial Dispersion in Crystal Optics

  • Chapter
Crystal Optics with Spatial Dispersion, and Excitons

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 42))

Abstract

The wide range of optical phenomena discussed in this chapter result from taking spatial dispersion into account. The dispersion of normal waves in gyrotropic and nongyrotropic crystals is considered for the region of exciton resonances, in particular, under conditions when additional light waves are formed and when it is necessary to account for dissipation. A theory of optical anisotropy of cubic crystals is developed for the region of dipole and quadrupole transitions. Discussed in detail is the effect of the external constant electric and magnetic fields, as well as the mechanical stresses, on the optical properties of crystals. It is shown how an application of the symmetry principle of kinetic coefficients enables the terms to be quite simply separated in the expression for the tensor ε ij (ω,k). These terms lead not only to gyro-tropy, but to electrogyrations, the electric analogue of the Faraday effect, gyrotropy induced by external stresses, etc. The problem of additional boundary conditions (ABC), posed by the formation of additional waves, is discussed in detail. The use of the model of an isolated resonance enables dispersion of gyrotropy to be examined, and the most general form of ABC to be determined. A number of examples shows how the application of ABC permits the reflection and refraction of light waves at the interfaces of media to be investigated in the presence of additional waves.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. M. Born: Optik (Springer, Berlin 1933);

    Book  Google Scholar 

  2. M. Born, E. Wolf: Principles of Optics (Pergamon, Oxford 1964)

    Google Scholar 

  3. S. Szivessy: “Kristalloptik”, in Handbuch der Physik, Vol.20 (J. Springer, Berlin 1928) p.635

    Google Scholar 

  4. G.N. Ramachandran, S. Ramaseshan: “Crystal Optics”, in Encyclopedia of Physics, Vol.25/1 (Springer, Berlin, Göttingen, Heidelberg 1961)

    Google Scholar 

  5. V.M. Agranovich, A.A. Rukhadze: Zh. Eksp. Teor. Fiz. 35. 982 (1958) [English transl.: Sov. Phys. JETP 35, 685 (1959)]

    Google Scholar 

  6. V.M. Agranovich: Dokl . Akad. Nauk SSSR 97, 797 (1954)

    Google Scholar 

  7. V.M. Agranovich: Opt. Spektrosk. 1, 338 (1956)

    Google Scholar 

  8. Yu.A. Tsvirko: Zh. Eksp. Teor. Fiz. 38, 1615 (1960) [Enqlish transl.: Sov. Phys. JETP 11, 1163 (1960)]

    Google Scholar 

  9. A.A. Kaminskii: Laser Crystals, Springer Ser. Opt. Sci., Vol.14 (Springer, Berlin, Heidelberg, New York 1981)

    Google Scholar 

  10. B.V. Bokut, A.N. Serdyukov: Zh. Eksp. Teor. Fiz. 16, 1808 (1971)

    Google Scholar 

  11. V.M. Agranovich, V.L. Ginzburg: Zh. Eksp. Teor. Fiz. 63, 838 (1972)

    Google Scholar 

  12. V.M. Agranovich, V.I. Yudson: Opt. Commun. 9, 58 (1973)

    Article  ADS  Google Scholar 

  13. V.L. Ginzburg: Zh. Eksp. Teor. Fiz. 34, 1953 (1958) [English transl.: Sov. Phys. JETP 7, 1096 (1958)]

    Google Scholar 

  14. S.I. Pekar: Zh. Eksp. Teor. Fiz. 33, 1022 (1957) [English transl.: Sov. Phys. JETP 6, 785 (1958)]

    Google Scholar 

  15. F.I. Fedorov: Optics of Anisotropic Media (BSSR, Akad. Nauk Publishers, Minsk 1958) [in Russian]

    Google Scholar 

  16. A.P. Khapalyuk: Kristallografiya 7, 724 (1962)

    MATH  Google Scholar 

  17. V.M. Agranovich, V.L. Ginzburg: Fortschr. Phys. 13, 175 (1965)

    Article  Google Scholar 

  18. A.G. Molchanov: Fiz. Tverd. Tela 8, 1156 (1966)

    Google Scholar 

  19. A.A. Andronov: Radiofizika Izv. Vuzov 3, 645 (1960)

    Google Scholar 

  20. A.S. Pine: Phys. Rev. B2, 2049 (1970)

    ADS  Google Scholar 

  21. M.F. Bryzhina, S.Kh. Yesayan, V.V. Lemanov: Zh. Eksp. Teor. Fiz. Pis’ma 25, 513 (1977)

    ADS  Google Scholar 

  22. I.V. Obreimov, A.F. Prikhotko: In Collection Pamyati S.I. Vavilova (USSR Akad. Nauk, Moscow 1952) p.197 [in Russian]

    Google Scholar 

  23. V.M. Agranovich, V.L. Ginzburg: In Progress in Optics, Vol.9, ed. by E. Wolf (North-Holland, Amsterdam 1971) p.237

    Google Scholar 

  24. P.G. de Gennes: The Physics of Liquid Crystals (Clarendon, Oxford 1974)

    Google Scholar 

  25. W. Helfrich, G. Heppke (eds.): Liquid Crystals of One- and Two-Dimensional Order, Springer Ser. Chem. Sci., Vol.11 (Springer, Berlin, Heidelberg, New York 1980)

    Google Scholar 

  26. V.G. Kamensky, E.I. Katz: Opt. Spektrosk. 45, 1106 (1978)

    Google Scholar 

  27. W.R. Heller, A. Markus: Phys. Rev. 84, 809 (1951)

    Article  ADS  MATH  Google Scholar 

  28. A. Sommerfeld: Optics (Academic, London 1954)

    MATH  Google Scholar 

  29. E.E. Lysenko: Zh. Eksp. Teor. Fiz. 6, 787 (1936)

    MATH  Google Scholar 

  30. A.S. Davydov: Zh. Eksp. Teor. Fiz. 19, 181 (1949)

    Google Scholar 

  31. A.S. Davydov: Tr. Inst. Fiz. Akad. Nauk UKSSR 3, 36 (1952);

    Google Scholar 

  32. A.S. Davydov, E.I. Rashba: Ukr. Fiz. Zh. 2, 226 (1957)

    Google Scholar 

  33. M.S. Brodin, A.F. Prikhotko, M.S. Soskin: Opt. Spektrosk. 6, 28 (1959)

    Google Scholar 

  34. A. Bosacchi, B. Bosacchi, S. Franchi: Phys. Rev. Lett. 36, 1086 (1976)

    Article  ADS  Google Scholar 

  35. P.P. Feofilov, A.A. Kaplyansky: Usp. Fiz. Nauk 76, 201 (1962)

    Google Scholar 

  36. H.A. Lorentz: Collected Papers, Vol.2 (1936) p.79; Vol.3 (1936) p.314 (M. Nijhoff, The Hague)

    Google Scholar 

  37. K.H. Hellwege: Z. Phys. 129, 626 (1951)

    Article  ADS  MATH  Google Scholar 

  38. J.F. Nye: Physical Properties of Crystals (Clarendon, Oxford 1964)

    Google Scholar 

  39. E.F. Gross, A.A. Kaplyansky: Dokl. Akad. Nauk SSSR 132, 93 (1960)

    Google Scholar 

  40. E.F. Gross, A.A. Kaplyansky: Dokl. Akad. Nauk SSSR 139, 75 (1961)

    Google Scholar 

  41. S.I. Pekar, B.E. Tsekvava: Fiz. Tverd. Tela 2, 261 (1960) [English transl.: Sov. Phys. Solid State 2, 242 (I960)]

    Google Scholar 

  42. A.S. Davydov: Theory of Light Absorption in Molecular Crystals (UKSSR Akad. Nauk, Kiev 1951) [in Russian]

    Google Scholar 

  43. H. Winston: J. Chem. Phys. 19, 156 (1951)

    Article  ADS  Google Scholar 

  44. G.Ya. Lyubarsky: Group Theory and Its Application in Physics (Fizmatgiz, Moscow 1958) [in Russian]

    Google Scholar 

  45. B.K. Vainshtein: Modern Crystallography I, Springer Ser. Solid-State Sci., Vol.15 (Springer, Berlin, Heidelberg, New York 1981)

    Google Scholar 

  46. J.L. Birman: “Theory of Crystal Space Groups and Infrared and Raman Lattice Processes of Insulating Crystals”, in Encyclopedia of Physics, Vol.25/2b (Springer, Berlin, Heidelberg, New York 1974)

    Google Scholar 

  47. L.D. Landau, E.M. Lifshitz: Quantum Mechanics — Nonrelativistic Theory (Nauka, Moscow 1974) [in Russian]

    Google Scholar 

  48. V.I. Cherepanov, V.S. Galishev: Fiz. Tverd. Tela 3, 1085 (1961)

    Google Scholar 

  49. V.E. Tsekvava: Fiz. Tverd. Tela 3, 1164 (1961) [English transl.: Sov. Phys. Solid State 3, 847 (1961)]

    Google Scholar 

  50. E.F. Gross: Usp. Fiz. Nauk 63, 575 (1957) [English transl.: Sov. Phys. Usp. Nauk 63, 576 (1957)]

    Article  Google Scholar 

  51. E.F. Gross, A.A. Kaplyansky: Fiz. Tverd. Tela 2, 1676, 2963 (1960) [English transl.: Sov. Phys. Solid State 2, 1518, 2637 (1960)]

    Google Scholar 

  52. E.F. Gross, B.P. Zakharchenya, L.M. Kanskaya: Fiz. Tverd. Tela 3, 972 (1961) [English transl.: Sov. Phys. Solid State 3, 706 (1961)]

    Google Scholar 

  53. E.F. Gross, A.G. Zhilich, B.P. Zakharchenya, A.V. Varfolomeyev: Fiz. Tverd. Tela 3, 1445 (1961) [English transl.: Sov. Phys. Solid State 3, 1048 (1961)]

    Google Scholar 

  54. V.I. Cherepanov: Fiz. Tverd. Tela 3, 1493 (1961) [English transl.: Sov. Phys. Solid State 3, 1082 (1961)]

    Google Scholar 

  55. A.G. Zhilich: Fiz. Tverd. Tela 3, 204 (1961) [English transl.: Sov. Phys. Solid State 3, 1483 (1961)]

    Google Scholar 

  56. V.I. Cherepanov: Fiz. Tverd. Tela 3, 2183 (1961) [English transl.: Sov. Phys. Solid State 3, 1583 (1961)]

    Google Scholar 

  57. S.A. Moskalenko: Fiz. Tverd. Tela 2, 1755 (1960) [English transl.: Sov. Phys. Solid State 2, 1587 (I960)]

    Google Scholar 

  58. E.I. Rashba, M.D. Sturge (eds.): Excitons (North-Holland, Amsterdam 1982)

    Google Scholar 

  59. N.N. Akhmediyev, A.K. Zvezdin: Zh. Eksp. Teor. Fiz. 38, 167 (1983)

    Google Scholar 

  60. N.B. Baranova, Yu.V. Bogdanov, B.Ya. Zel’dovich: Usp. Fiz. Nauk 123, 349 (1977)

    Article  ADS  Google Scholar 

  61. T.S. Moos, G.J. Burrell, A. Hetherington: Proc. Roy. Soc. A308, 125 (1968)

    ADS  Google Scholar 

  62. L.A. Almazov, F.T. Vasko, I.M. Dykman: Zh. Eksp. Teor. Fiz. Pis’ma 16, 305 (1972);

    ADS  Google Scholar 

  63. F.T. Vasko: Fiz. Tverd. Tela 14, 3680 (1972);

    Google Scholar 

  64. L.A. Almazov: Fiz. Tekh. Poluprovodnikov 9, 657 (1975)

    Google Scholar 

  65. L.E. Vorobyov, E.L. Ivchenko, G.E. Pikus, I.I. Farbshtein, V.A. Shaligan, A.V. Shturbin: Zh. Eksp. Teor. Fiz. Pis’ma 29, 485 (1979)

    ADS  Google Scholar 

  66. L.I. Korovina, A.E. Shabad: Zh. Eksp. Teor. Fiz. 67, 1032 (1974)

    Google Scholar 

  67. I.S. Zheludov: Usp. Fiz. Nauk 120, 702 (1976)

    Article  Google Scholar 

  68. T. Koda, T. Murahashi, T. Mutani, S. Sakoda, Y. Onodera: Phys. Rev. B5, 705 (1972)

    ADS  Google Scholar 

  69. E.F. Gross, B.P. Zakharchenya, O.V. Konstantinov: Fiz. Tverd. Tela 3, 305 (1961) [English transl.: Sov. Phys. Solid State 3, 221 (1961)]

    Google Scholar 

  70. D.G. Thomas, J.J. Hopfield: Phys. Rev. Lett. 4, 357 (1960)

    Article  ADS  Google Scholar 

  71. D.G. Thomas, J.J. Hopfield: Phys. Rev. 124, 657 (1961)

    Article  ADS  Google Scholar 

  72. D.G. Thomas, J.J. Hopfield: Phys. Rev. Lett. 5, 505 (1960)

    Article  ADS  Google Scholar 

  73. H. Venghaus, S. Suga, K. Cho: Phys. Rev. B16, 4419 (1977)

    ADS  Google Scholar 

  74. K. Cho: Phys. Rev. B14, 4463 (1976)

    ADS  Google Scholar 

  75. B.S. Razbirin, A.N. Starukhin, E.M. Gamarts, M.I. Karaman, V.P. Mushinskii: Zh. Eksp. Teor. Fiz. Pis’ma 27, 341 (1978)

    ADS  Google Scholar 

  76. A.G. Zhilich: Fiz. Tverd. Tela 6, 2058 (1964) [Enqlish transl.: Sov. Phys. Solid State 6, 1624 (1965)]

    Google Scholar 

  77. A.G. Zhilich: Fiz. Tverd. Tela 7, 670 (1965)

    Google Scholar 

  78. V.P. Silin, E.P. Fetisov: Zh. Eksp. Teor. Fiz. 41, 159 (1961) [English transl.: Sov. Phys. JETP 14, 115 (1962)]

    MathSciNet  Google Scholar 

  79. K.L. Kliewer: Surf. Sci. 101 , 57 (1980)

    Article  ADS  Google Scholar 

  80. F. Forstmann, R.R. Gerhardts: In Festkörperprobleme, Adv. Solid State Phys., Vol.22 (Vieweg, Braunschweig 1982) p.291

    Google Scholar 

  81. V.M. Agranovich, V.E. Pafomov, A.A. Rukhadze: Zh. Eksp. Teor. Fiz. 36, 238 (1959)

    Google Scholar 

  82. B.L. Zhelnov: Zh. Eksp. Teor. Fiz. 40, 170 (1961) [English transl.: Sov. Phys. JETP 13, 117 (1961)]

    Google Scholar 

  83. V.M. Aqranovich, V.L. Ginzburg: Usp. Fiz. Nauk 76, 643 (1962)

    Google Scholar 

  84. V.M. Aqranovich, V.L. Ginzburg: Usp. Fiz. Nauk 77, 663 (1962)

    Google Scholar 

  85. V.M. Aqranovich, V.L. Ginzburg: Fortschr. Phys. 11, 163 (1963) [English transl.: Sov. Phys. Usp. 5, 323 and 675 (1962/63)]

    Article  Google Scholar 

  86. Y. Osaka, Y. Imai, Y. Takeuti: J. Phys. Soc. Jpn. 24, 236 (1968)

    Article  ADS  Google Scholar 

  87. V.I. Sugakov: Fiz. Tverd. Tela 5, 2207, 2682 (1963)

    Google Scholar 

  88. V.I. Sugakov: Fiz. Tverd. Tela 6, 1361 (1964) [English transl.: Sov. Phys. Solid State 5, 1607, 1959 (1963); 6, 1064 (1964)]

    Google Scholar 

  89. V.S. Mashkevich: Zh. Eksp. Teor. Fiz. 38, 906 (1960)

    Google Scholar 

  90. V.S. Mashkevich: Zh. Eksp. Teor. Fiz. 40, 1803 (1961)

    Google Scholar 

  91. V.S. Mashkevich: Zh. Eksp. Teor. Fiz. 42, 135 (1962) [English transl.: Sov. Phys. JETP 11, 653 (1960); 13, 1267 (1961)]

    Google Scholar 

  92. K. Huang: Proc. Roy. Soc. A208, 352 (1951)

    ADS  Google Scholar 

  93. E.L. Ivchenko, S.A. Permogorov, A.V. Selkin: Solid State Commun. 28, 345 (1978);

    Article  ADS  Google Scholar 

  94. G. Fishman: Solid State Commun. 27, 1097 (1978)

    Article  ADS  Google Scholar 

  95. M. Born, K. Huang: Dynamical Theory of Crystal Lattices (Clarendon, Oxford 1954)

    MATH  Google Scholar 

  96. V.M. Agranovich, M.I. Kaganov: Fiz. Tverd. Tela 4, 1681 (1962) [English transl.: Sov. Phys. Solid State 4, 1236 (1962)]

    Google Scholar 

  97. S. Chandrasekhar: Proc. Indian Acad. Sci. A36, 103 (1952)

    MathSciNet  Google Scholar 

  98. S. Chandrasekhar: Proc. Indian Acad. Sci. A37 , 468 (1953)

    Google Scholar 

  99. S. Chandrasekhar: Proc. Indian Acad. Sci. A39, 243 (1954)

    Google Scholar 

  100. V.M. Agranovich: Opt. Spektrosk. 2, 738 (1957)

    Google Scholar 

  101. G. Harbeke: “Optical Properties of Semiconductors”, in Optical Properties of Solids, ed. by F. Abelès (North-Holland, Amsterdam 1972) p.21

    Google Scholar 

  102. E.L. Ivchenko, G.E. Pikus: Fiz. Tverd. Tela 16, 967 (1974)

    Google Scholar 

  103. K. Natori: J. Phys. Soc. Jpn. 39, 1013 (1975)

    Article  ADS  Google Scholar 

  104. A.G. Aronov, A.S. Ioselevich: Fiz. Tverd. Tela 20, 2615 (1978)

    Google Scholar 

  105. E.L. Ivchenko: In Excitons, ed. by E.I. Rashba, M.D. Sturge (North-Holland, Amsterdam 1982) p.141

    Google Scholar 

  106. J.J. Hopfield, D.G. Thomas: Phys. Rev. 132, 561 (1963)

    Article  ADS  Google Scholar 

  107. V.L. Ginzburg, G.P. Motulevich: Usp. Fiz. Nauk 55, 469 (1955) [German transl.: Fortschr. Phys. 3, 309 (1955)]

    Google Scholar 

  108. G.E.H. Reuter, E.H. Sondheimer: Proc. Roy. Soc. London A195, 336 (1948)

    ADS  Google Scholar 

  109. R. Zeyher, J.L. Birman, W. Brenig: Phys. Rev. B6, 4613, 4617 (1972)

    ADS  Google Scholar 

  110. V.M. Agranovich, V.I. Yudson: In Up-to-Date Problems of Optics and Nuclear Physics (Naukova Dumka, Kiew 1974) p.78 [in Russian]

    Google Scholar 

  111. D.L. Mills: “Spatial Dispersion and Its Effect on the Properties of Dielectrics”, in Polaritons, Taormina 1972, ed. by E. Burstein, F. de Martini (Pergamon, Oxford 1974) p.147;

    Google Scholar 

  112. V.V. Hyzhnyakov, A.A. Maradudin, D.L. Mills: Phys. Rev. B11 , 3149 (1945)

    ADS  Google Scholar 

  113. D.P. Craig, P.G. Hobbins: J. Chem. Soc. 539, 2309 (1955)

    Article  Google Scholar 

  114. C.S. Ting, M.J. Frankel, J.L. Birman: Solid State Commun. 17, 1285 (1975)

    Article  ADS  Google Scholar 

  115. M.F. Bishop: Solid State Commun. 20, 779 (1976)

    Article  ADS  Google Scholar 

  116. N.N. Akhmediyev, V.V. Yatsyshen: Fiz. Tverd. Tela 18, 1679 (1976)

    Google Scholar 

  117. A. Stahl: Phys. Status Solidi B94, 221 (1979)

    Article  ADS  Google Scholar 

  118. A. Stahl: Phys. Status Solidi B106, 575 (1981)

    Article  ADS  Google Scholar 

  119. S. Sakoda: J. Phys. Soc. Jpn. 40, 152 (1976)

    Article  ADS  Google Scholar 

  120. I. Balslev: Phys. Status Soüdi B88, 155 (1978)

    Article  ADS  Google Scholar 

  121. A. D’Andrea, R. Del Sole: Phys. Rev. B25, 3714 (1982)

    ADS  Google Scholar 

  122. V.M. Agranovich, V.I. Yudson: Opt. Commun. 7, 121 (1973)

    Article  ADS  Google Scholar 

  123. O.V. Konstantinov, M.M. Panakhov, Sh.R. Saifulayev: Fiz. Tverd. Tela 17, 3551 (1975)

    Google Scholar 

  124. G.S. Agarwal, D.N. Pattanayak, E. Wolf: Phys. Rev. B10, 1447 (1974)

    MathSciNet  ADS  Google Scholar 

  125. G.S. Agarwal, D.N. Pattanayak, E. Wolf: Phys. Rev B11, 1342 (1975);

    ADS  Google Scholar 

  126. J.L. Birman, J.J. Sein: Phys. Rev. B6, 2482 (1972);

    ADS  Google Scholar 

  127. A.A. Maradudin, D.L. Mills: Phys. Rev. B7, 2787 (1973)

    ADS  Google Scholar 

  128. J.T. Foley, A.J. Devaney: Phys. Rev. B12, 3104 (1975)

    ADS  Google Scholar 

  129. M.F. Bishop, A.A. Maradudin: Phys. Rev. B14, 3384 (1976)

    ADS  Google Scholar 

  130. L.D. Johnson, P.R. Rimbey: Phys. Rev. B14, 2398 (1976)

    ADS  Google Scholar 

  131. F. Flores, F. Garcia-Moliner, R. Monreal: Phys. Rev. B15, 5085 (1977)

    ADS  Google Scholar 

  132. D.V. Sivukhin: Zh. Eksp. Teor. Fiz. 18, 976 (1948)

    Google Scholar 

  133. D.V. Sivukhin: Zh. Eksp. Teor. Fiz. 21, 94, 367 (1952)

    Google Scholar 

  134. D.V. Sivukhin: Zh. Eksp. Teor. Fiz 30, 374 (1956)

    Google Scholar 

  135. N.N. Akhmediyev, V.V. Yatsyshen: Solid State Commun. 27, 357 (1978)

    Article  ADS  Google Scholar 

  136. C.W. Deutche, C.A. Mead: Phys. Rev. A138, 63 (1965);

    Article  ADS  Google Scholar 

  137. G.D. Mahan, G. Obermair: Phys. Rev. 183, 834 (1969);

    Article  ADS  Google Scholar 

  138. J.E. Sipe, J. Van Kranendonk: Can. J. Phys. 53, 2095 (1975);

    Article  ADS  Google Scholar 

  139. C.A. Mead: Phys. Rev. B15, 519 (1977)

    ADS  Google Scholar 

  140. C.A. Mead: Phys. Rev. B17, 4644 (1978)

    ADS  Google Scholar 

  141. M.R. Philpott: Phys. Rev. B14, 3471 (1976)

    ADS  Google Scholar 

  142. M.R. Philpott: J. Chem. Phys. 60, 1410, 2520 (1974)

    Article  ADS  Google Scholar 

  143. N.N. Akhmediyev: Zh. Eksp. Teor. Fiz. 78, 1615 (1980)

    Google Scholar 

  144. V.A. Kizel: Reflection of Light (Nauka, Moscow 1973) [in Russian]

    Google Scholar 

  145. V.L. Ginzburg: The Propagation of Electromagnetic Waves in Plasma (Nauka, Moscow 1967) [English transl.: Pergamon, Oxford 1970]

    Google Scholar 

  146. A.V. Alexandrov, L.S. Bogdankevich, A.A. Rukhadze: Principles of Plasma Electrodynamics, Springer Ser. Electrophys., Vol.9 (Springer, Berlin, Heidelberg, New York 1983)

    Google Scholar 

  147. A. Selkin: Phys. Status Solidi B83, 47 (1977)

    Article  ADS  Google Scholar 

  148. J.L. Birman, D.N. Pattanayak: In Light Scattering in Solids, ed. by J.L. Birman, H.Z. Cummins, K.K. Rebane (Plenum, New York 1979) p.131

    Chapter  Google Scholar 

  149. Yu. A. Tsvirko: Fiz. Tverd. Tela 5, 1498 (1963) [English transl.: Sov. Phys. Solid State 5, 1089 (1963)]

    Google Scholar 

  150. P. Halevi, G. Hernandez-Cocoletzi: Phys. Rev. Lett 48, 1500 (1982)

    Article  ADS  Google Scholar 

  151. V.M. Agranovich, V.E. Kravtsov, T.A. Leskova, A.G. Mal’shukov, G. Hernandez-Cocoletzi, A.A. Maradudin: Phys. Rev. B (1984) (in press)

    Google Scholar 

  152. M.I. Nathan, A.B. Fowler, G. Burns: Phys. Rev. Lett. 11, 152 (1963)

    Article  ADS  Google Scholar 

  153. G.K. Vlasov, A.V. Kritsky, Yu.A. Kupchenko: Zh. Eksp. Teor. Fiz. 72, 2064 (1977)

    Google Scholar 

  154. N.N. Akhmediyev, V.V. Yatsychen: Fiz. Tverd. Tela 21, 3529 (1979)

    Google Scholar 

  155. N.N. Akhmediyev: Zh. Eksp. Teor. Fiz. 79, 1534 (1980)

    ADS  Google Scholar 

  156. J. Voigt, F. Spiegelberg, M. Senoner: Phys. Status Solidi B91, 189 (1979)

    Article  ADS  Google Scholar 

  157. L.I. Mandelstam: Zh. Eksp. Teor. Fiz. 15, 475 (1945)

    MathSciNet  Google Scholar 

  158. L.I. Mandelstam: Collected Papers (USSR Akad. Nauk Publishers, Moscow 1947) Vol.2, p.334 [in Russian]

    Google Scholar 

  159. M. Born: Phys. Zs. 16, 251, 437 (1915)

    Google Scholar 

  160. M. Born: Ann. Phys. (Leipzig) 55, 177 (1917)

    Google Scholar 

  161. C Oseen: Ann. Phys. (Leipzig) 48, 1 (1915)

    ADS  Google Scholar 

  162. K. Nomura: Phys. Rev. Lett. 5, 500 (1960)

    Article  ADS  Google Scholar 

  163. N. Henrion, T. Eckart: Z. Naturforsch. 19a, 1024 (1964)

    ADS  Google Scholar 

  164. V.I. Burkov, V.A. Kizel, M.F. Kostenko, Z.B. Perikalina: Dokl. Akad. Nauk. SSSR, 199, 806 (1968)

    Google Scholar 

  165. Yu.V. Denisov, V.A. Kizel, V.V. Mnev, E.P. Sukhenko, V.G. Tishchenko: Zh. Eksp. Teor. Fiz. Pisma. 22, 242 (1975)

    Google Scholar 

  166. V.A. Kizel, Yu.I. Krasilov, V.I. Burkov: Usp. Fiz. Nauk. 114, 295 (1974)

    Article  Google Scholar 

  167. I.G. Chistyakov: Kristallografia, 5, 962 (1961)

    Google Scholar 

  168. B.N. Samoilov: Zh. Eksp. Teor. Fiz. 18, 1030 (1948)

    Google Scholar 

  169. M.S. Brodin, Ya.O. Dovgy: Opt. Spektrosk. 12, 285 (1962)

    Google Scholar 

  170. V.M. Agranovich: Usp. Fiz. Nauk. 71, 141 (1960) [English transl.: Sov. Phys.-Usp. 3, 427 (1961)]

    Google Scholar 

  171. V.M. Agranovich: Fiz. Tverd. Tela, 2, 1197 (1960)

    Google Scholar 

  172. A.G. Molchanov: Fiz. Tverd. Tela, 11, 1184 (1969)

    Google Scholar 

  173. A.S. Pine, G. Dresselhaus: Phys. Rev. 188, 1489 (1969)

    Article  ADS  Google Scholar 

  174. F.I. Fedorov: Opt. Spektrosk. 6, 85, 377 (1959)

    Google Scholar 

  175. E.L. Ivchenko, A.V. Selkin: Zh. Eksp. Teor. Fiz. 76, 1837 (1979)

    Google Scholar 

  176. E.L. Ivchenko, A.B. Pevtsov, A.V. Selkin: Solid State Commun. 39, 453 (1980)

    Article  Google Scholar 

  177. J. Pastnak, KG. Vedam: Phys. Rev. B3, 2567 (1971)

    ADS  Google Scholar 

  178. P.Y. Yu, M. Cardona: Solid State Commun. 9, 1421 (1971)

    Article  ADS  Google Scholar 

  179. M.B. Brodin, S.I. Pekar: Zh. Eksp. Teor. Fiz. 38, 71 1910 (1960) [English transl.: Sov. Phys.-JETP 11, 1373 (I960)]

    Google Scholar 

  180. M.S. Brodin, A.F. Prikhotko: Opt. Spectrosk. 7, 132 (1959)

    Google Scholar 

  181. M.S. Brodin, A.F. Prikhotko, M.S. Soskin: Opt. Spektrosk. 6, 28 (1959)

    Google Scholar 

  182. C.W. Higginbotham, M. Cardona, F.H. Pollak: Phys. Rev. 184, 821 (1969)

    Article  ADS  Google Scholar 

  183. O.V. Gogolin, E.G. Tsitsishvily, J.L. Dais, K. Klingshirn, V.E. Solomko: Zh. Eksp. Teor. Fiz. Pis’ma 34, 328 (1981)

    ADS  Google Scholar 

  184. A.S. Davydov: Zh. Eksp. Teor. Fiz. 45, 723 (1963) [English transl.: Sov. Phys.-JETP 18, 496 (1964)]

    Google Scholar 

  185. V.M. Agranovich, A.S. Davydov: Zh. Eksp. Teor. Fiz. 21, 667 (1951)

    Google Scholar 

  186. A.S. Davydov: Usp. Fiz. Nauk, 82, 393 (1964) [English transl.: Sov. Phys.-Usp. 7, 145 (1964)]

    MATH  Google Scholar 

  187. I.S. Gorban, V.B. Timofeyev: Dokl. Akad. Nauk SSSR 141, 791 (1961)

    Google Scholar 

  188. J.J. Hopfield, D.G. Thomas: Phys. Rev. 116, 512 (1959)

    Google Scholar 

  189. V.A. Kiselov: Fiz. Tverd. Tela, 20, 2173 (1978)

    Google Scholar 

  190. V.A. Kiselov, B.S. Razbirin, I.N. Uraltsev: Phys. Status Solidi B72, 161 (1975);

    Article  ADS  Google Scholar 

  191. V.A. Kiselov, I.V. Makarenko, B.S. Razbirin, I.N. Uraltsev: Fiz. Tverd. Tela, 19, 1348 (1977);

    Google Scholar 

  192. I.V. Makarenko, I.N. Uraltsev, V.A.K. Kiselev: Phys. Status Solidi B98, 773 (1980)

    Article  ADS  Google Scholar 

  193. I. Broser, R. Broser, E. Beckmann, E. Birkicht: Solid State Commun 39, 1209 (1981)

    Article  ADS  Google Scholar 

  194. Y. Segawa, Y. Aoyagi, K. Azuma, S. Namba: Solid State Commun. 28, 853 (1978)

    Article  ADS  Google Scholar 

  195. Y. Segawa, Y. Aoyagi, S. Namba: Solid State Commun. 32, 299 (1979)

    Article  Google Scholar 

  196. R.G. Ulbrich, G.W. Fehrenbach: Phys. Rev. Lett. 43, 963 (1979)

    Article  ADS  Google Scholar 

  197. Y. Aoyagi, Y. Segawa, T. Baba, S. Namba: In Picosecond Phenomena II, ed. by R.M. Hochstrasser, W. Kaiser and C.V. Shank, Springer Ser. Chem. Phys. Vol. 14 (Springer, Berlin, Heidelberg, New York 1980) p. 298

    Chapter  Google Scholar 

  198. T. Itoh, P. Lavallard, J. Raydellet, C. Benoit á la Guillaume: Solid State Commun. 37, 925 (1981)

    Article  ADS  Google Scholar 

  199. P.H. Duong, T. Itoh, P. Lavallard: Solid State Commun. 43, 879 (1982)

    Article  ADS  Google Scholar 

  200. R. Loudon: J. Phys. A: Gen. Phys. 3, 233 (1970)

    Article  ADS  Google Scholar 

  201. R.G. Ulbrich, G. Weisbuch: Phys. Rev. 38, 865 (1977)

    ADS  Google Scholar 

  202. G. Winterling, E. Koteles: Solid State Commun. 23, 95 (1977)

    Article  ADS  Google Scholar 

  203. W. Brenig, R. Zeyher, J.L. Birman: Phys. Rev. B6, 4617 (1972)

    ADS  Google Scholar 

  204. E.S. Koteles, G. Winterling: Phys. Rev. B20, 628 (1979)

    ADS  Google Scholar 

  205. P.Y. Yu: Solid State Commun. 32, 29 (1979)

    Article  ADS  Google Scholar 

  206. F. Evangelisti, A. Frova, F. Patella: Phys. Rev. B10, 4253 (1974)

    ADS  Google Scholar 

  207. F. Evangelisti, A. Frova, F. Patella: Solid State Commun. 20, 23 (1976)

    Article  Google Scholar 

  208. R.S. Knox: Theory of Excitons, in Solid State Physics, Vol. 5 (Academic, London 1963)

    Google Scholar 

  209. V.M. Agranovich: Theory of Excitons (Nauka, Moscow 1968) in Russian

    Google Scholar 

  210. S.A. Permogorov, V.V. Travnikov, A.V. Selkin: Fiz. Tverd. Tela 14, 3642 (1972)

    Google Scholar 

  211. S.A. Permogorov, V.V. Travnikov, A.V. Selkin: Fiz. Tverd. Tela 15, 1822 (1973)

    Google Scholar 

  212. S.A. Permogorov, V.V. Travnikov, A.V. Selkin: Izv. Akad. Nauk SSSR, Ser. Fiz. 37, 711 (1973);

    Google Scholar 

  213. S.A. Permogorov, A.V. Selkin: Fiz. Tverd. Tela 15, 3025 (1973)

    Google Scholar 

  214. E. Tosatti, G. Harbeke: Nuovo Cimento, B22, 87 (1974)

    ADS  Google Scholar 

  215. M.S. Brodin, I.N. Strashnikova: Fiz. Tverd. Tela 4, 2454 (1962) [English transl.: Sov. Phys.-Solid State, 4, 1798 (1962)]

    Google Scholar 

  216. M.S. Brodin, N.A. Davydova, M.I. Strashnikova: Phys. Status Solidi B70, 365 (1975)

    Article  ADS  Google Scholar 

  217. M.S. Brodin, N.A. Davydova, M.I. Strashnikova: Zh. Eksp. Teor. Fiz. Pisma 19, 567 (1974)

    Google Scholar 

  218. M.I. Strashnikova: Fiz. Tverd. Tela 17, 729 (1975)

    Google Scholar 

  219. M.I. Strashnikova: Fiz. Tverd. Tela Zh. Eksp. Teor. Fiz. 74, 2206 (1978)

    ADS  Google Scholar 

  220. A.B. Pevtsov, S.A. Permogorov, A.V. Selkin: Zh. Eksp. Teor. Fiz. Pis’ma 33, 419 (1981)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Spectroscopy, Troitsk, Academy of Sciences of the USSR, 142092, Moscow, r-n, USSR

    Professor Dr. Vladimir M. Agranovich

  2. P.N. Lebedev Physical Institute, Academy of Sciences of the USSR, Moscow, USSR

    Professor Dr. Vitaly Ginzburg

Authors
  1. Professor Dr. Vladimir M. Agranovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Professor Dr. Vitaly Ginzburg
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Agranovich, V.M., Ginzburg, V. (1984). Spatial Dispersion in Crystal Optics. In: Crystal Optics with Spatial Dispersion, and Excitons. Springer Series in Solid-State Sciences, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02406-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-02406-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02408-9

  • Online ISBN: 978-3-662-02406-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation