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Effect of additional exciton-polariton waves on the analytic properties of the optical response functions of thin crystal plates

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Abstract

The analytic properties of the complex amplitude reflection and transmission coefficients of plane-parallel crystal plates in the exciton spectral region in the presence of additional waves are considered in a wide range of plate thicknesses and angles of incidence of light. It is shown that violations of the classical amplitude-phase Kramers-Kronig relations for the reflection and transmission can be described quantitatively by the contributions of the reflection and transmission zeros appearing due to the interference of ordinary and additional exciton-polariton waves. The decrease in the total absorption coefficient in the vicinity of the exciton resonance is also explained by the presence of transmission zeros in the upper half-plane of the complex frequency.

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References

  1. H. M. Nussenzveig, Causality and Dispersion Relations (Academic, New York, 1972; Mir, Moscow, 1976).

    Google Scholar 

  2. H. A. Kramers, Atti Congr. Int. Fis. Como. 2, 545 (1927).

    Google Scholar 

  3. R. L. Kronig, J. Opt. Soc. Am. Rev. Sci. Instrum. 12, 547 (1926).

    Article  ADS  Google Scholar 

  4. S. I. Pekar, Zh. Éksp. Teor. Fiz. 33, 1022 (1957) [Sov. Phys. JETP 6, 785 (1957)].

    Google Scholar 

  5. V. M. Agranovich and V. L. Ginzburg, Crystal Optics with Spatial Dispersion, and Excitons, 2nd ed. (Nauka, Moscow, 1979; Springer, New York, 1984).

    Google Scholar 

  6. M. A. Leontovich, Zh. Éksp. Teor. Fiz. 40, 907 (1961) [Sov. Phys. JETP 13, 634 (1961)].

    Google Scholar 

  7. A. S. Davydov, Zh. Éksp. Teor. Fiz. 43, 1832 (1962) [Sov. Phys. JETP 16, 1293 (1963)].

    Google Scholar 

  8. V. L. Ginzburg and N. N. Meĭman, Zh. Éksp. Teor. Fiz. 46, 243 (1964) [Sov. Phys. JETP 19, 169 (1964)].

    Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media, 2nd ed. (Nauka, Moscow, 1982; Pergamon, New York, 1984).

    Google Scholar 

  10. D. A. Kirzhnits, Usp. Fiz. Nauk 119, 357 (1976) [Sov. Phys. Usp. 19, 530 (1976)].

    Article  Google Scholar 

  11. A. S. Davidov and A. A. Serikov, Phys. Status Solidi B 56, 351 (1973).

    Article  ADS  Google Scholar 

  12. J. S. Nkoma, Phys. Status Solidi B 97, 657 (1980).

    Article  ADS  Google Scholar 

  13. M. De Crscenzi and G. Harbeke, Solid State Commun. 32, 777 (1979).

    Article  Google Scholar 

  14. N. N. Akhmediev, Zh. Éksp. Teor. Fiz. 79, 1534 (1980) [Sov. Phys. JETP 52, 773 (1980)].

    ADS  Google Scholar 

  15. M. S. Brodin, A. F. Prikhot’ko, and M. S. Soskin, Opt. Spektrosk. 6, 28 (1959).

    Google Scholar 

  16. M. S. Brodin and M. I. Strashnikova, Fiz. Tverd. Tela (Leningrad) 4, 2454 (1962) [Sov. Phys. Solid State 4, 1798 (1962)].

    Google Scholar 

  17. J. Voigt, Phys. Status Solidi B 64, 549 (1974).

    Article  ADS  Google Scholar 

  18. F. I. Kreĭngol’d and V. L. Makarov, Pis’ma Zh. Éksp. Teor. Fiz. 20, 441 (1974) [JETP Lett. 20, 201 (1974)].

    Google Scholar 

  19. A. Bosacchi, B. Bosacchi, and S. Franchi, Phys. Rev. Lett. 36, 1086 (1976).

    Article  ADS  Google Scholar 

  20. N. N. Akhmediev, G. P. Golubev, V. S. Dneprovskiĭ, and E. A. Zhukov, Fiz. Tverd. Tela (Leningrad) 25, 2225 (1983) [Sov. Phys. Solid State 25, 1284 (1983)].

    Google Scholar 

  21. A. B. Novikov, L. E. Solov’ev, and V. G. Talalaev, Fiz. Tverd. Tela (Leningrad) 28, 1931 (1986) [Sov. Phys. Solid State 28, 1079 (1986)].

    Google Scholar 

  22. M. I. Strashnikova and E. V. Mozdor, Zh. Éksp. Teor. Fiz. 114, 1393 (1998) [JETP 87, 756 (1998)].

    Google Scholar 

  23. S. B. Moskovskiĭ and L. E. Solov’ev, Zh. Éksp. Teor. Fiz. 86, 1419 (1984) [Sov. Phys. JETP 59, 831 (1984)].

    Google Scholar 

  24. S. B. Moskovskiĭ, A. B. Novikov, and L. E. Solov’ev, Fiz. Tverd. Tela (Leningrad) 30, 1431 (1988) [Sov. Phys. Solid State 30, 826 (1988)].

    Google Scholar 

  25. S. B. Moskovskiĭ, A. B. Novikov, and L. E. Solov’ev, Zh. Éksp. Teor. Fiz. 105, 994 (1994) [JETP 78, 533 (1994)].

    Google Scholar 

  26. S. B. Moskovskiĭ, A. B. Novikov, and L. E. Solov’ev, Fiz. Tverd. Tela (Leningrad) 27, 3208 (1985) [Sov. Phys. Solid State 27, 1933 (1985)].

    Google Scholar 

  27. A. B. Pevtsov and A. V. Sel’kin, Zh. Éksp. Teor. Fiz. 83, 516 (1982) [Sov. Phys. JETP 56, 282 (1982)].

    Google Scholar 

  28. S. I. Pekar, Crystal Optics and Extra Waves of Light (Naukova Dumka, Kiev, 1982).

    Google Scholar 

  29. Yu. V. Moskalev, S. B. Moskovskiĭ, and L. E. Solov’ev, Opt. Spektrosk. 94, 238 (2003) [Opt. Spectrosc. 94, 209 (2003)].

    Article  Google Scholar 

  30. L. E. Solov’ev and A. V. Babinskiĭ, Pis’ma Zh. Éksp. Teor. Fiz. 23, 291 (1976) [JETP Lett. 23, 263 (1976)].

    Google Scholar 

  31. S. R. Grigor’ev, S. B. Moskovskiĭ, A. B. Novikov, and L. E. Solov’ev, Vestn. Leningr. Univ., Ser. 4: Fiz. Khim., No. 3, 107 (1987).

    Google Scholar 

  32. S. B. Moskovskiĭ, A. B. Novikov, O. S. Omegov, and L. E. Solov’ev, Fiz. Tverd. Tela (Leningrad) 33, 657 (1991) [Sov. Phys. Solid State 33, 375 (1991)].

    Google Scholar 

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Authors and Affiliations

  1. Yaroslavl State Pedagogical University, Yaroslavl, 150000, Russia

    S. B. Arkadova, Yu. V. Moskalev & S. B. Moskovskiĭ

  2. Institute of Physics, St. Petersburg State University, Peterhof, 198904, Russia

    L. E. Solov’ev

Authors
  1. S. B. Arkadova
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  2. Yu. V. Moskalev
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  3. S. B. Moskovskiĭ
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  4. L. E. Solov’ev
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__________

Translated from Optika i Spektroskopiya, Vol. 96, No. 4, 2004, pp. 597–607.

Original Russian Text Copyright © 2004 by Arkadova, Moskalev, Moskovskiĭ, Solov’ev.

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Arkadova, S.B., Moskalev, Y.V., Moskovskiĭ, S.B. et al. Effect of additional exciton-polariton waves on the analytic properties of the optical response functions of thin crystal plates. Opt. Spectrosc. 96, 538–548 (2004). https://doi.org/10.1134/1.1719142

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