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Bessel–Gaussian Beams in an Inhomogeneous Medium

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Abstract

Solutions of the parabolic equation which describes propagation of Bessel–Gaussian beams along the axis of an axially-symmetric medium having quadratic inhomogeneity have been obtained and investigated. It is shown that in the process of propagation the parameters of the beams change nonmonotonically. In the case of a transparent medium the beams periodically recover their initial structure.

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REFERENCES

  1. F. Gori, G. Guattari, and C. Padovani, Opt. Commun., 64, No. 6, 491-495 (1987).

    Google Scholar 

  2. J. Durnin, J. Miceli, Jr., and J. H. Eberly, Phys. Rev. Lett., 15, 1499-1501 (1987).

    Google Scholar 

  3. J. Durnin, J. Opt. Soc. Am., A4, 651-654 (1987).

    Google Scholar 

  4. A. M. Bel'skii, T. M. Korneichik, and A. P. Khapalyuk, Space Structure of Laser Radiation [in Russian], Minsk (1982).

  5. G. Kogel'nik and T. Li, IEEE Trans., 54, No. 10, 95-112 (1966).

    Google Scholar 

  6. A. M. Goncharenko, Gauss Light Beams [in Russian], Minsk (1977).

  7. A. N. Oraevskii, Tr. Fiz. Inst. im. P. N. Lebedeva, 187, 3-59 (1988).

    Google Scholar 

  8. A. N. Khilo, E. G. Katranji, and A. A. Ryzhevich, J. Opt. Soc. Am., 18, No. 8, 1986-1992 (2001).

    Google Scholar 

  9. H. K ogelnik, Appl. Opt., 4, No. 12, 1562-1569 (1965).

    Google Scholar 

  10. L. W. Casperson, J. Opt. Soc. Am., 66, No. 12, 1373-1379 (1976).

    Google Scholar 

  11. L. Ronchi, Appl. Opt., 17, No. 18, 2869-2871 (1978).

    Google Scholar 

  12. M. Born and E. Wolf, Principles of Optics [Russian translation], Moscow (1970).

  13. B. Z. Katsenelenbaum, High-Frequency Electrodynamics [in Russian], Moscow (1966).

  14. A. G. Van Nie, Philips Res. Rep., 19, 378-394 (1964).

    Google Scholar 

  15. A. P. Khapalyuk and T. M. Nesterenko, Vestn. Bel. Gos. Univ., Ser. 1, No. 1, 52-61 (1970).

    Google Scholar 

  16. A. P. Khapalyuk, in: A. N. Sevchenko (ed.), Modern Problems of Optics, Radiation Materials Science, Information Science, Radiophysics and Electronics [in Russian], Pt. 1, Collection of Scientific Papers of A. N. Sevchenko Scientific-Research Institute of Applied Physical Problems, Minsk (1997), pp. 137-148.

    Google Scholar 

  17. A. M. Bel'skii, T. M. Nesterenko, and A. P. Khapalyuk, in: Optics of Inhomogeneous Media [in Russian], Interinstitutional Collection of Papers, Petrozavodsk (1981), pp. 19-42.

    Google Scholar 

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Korneichik, T.M., Khapalyuk, A.P. Bessel–Gaussian Beams in an Inhomogeneous Medium. Journal of Applied Spectroscopy 70, 557–564 (2003). https://doi.org/10.1023/A:1026150531577

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  • DOI: https://doi.org/10.1023/A:1026150531577

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