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Method of integral equation in the theory of weak-guiding inhomogeneous optical waveguides

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Abstract

A method of integral equation is stated and applied in the analysis of the characteristic and noncharacteristic modes in 3D weak-guiding inhomogeneous optical waveguides. The dispersion curves for the modes of diffused channel waveguides are studied near the critical conditions in absorbing media. The accuracy of recovering the permittivity profile in a channel waveguide from the far-field radiation of the fundamental mode is estimated.

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References

  1. L. D. Hutcheson, Integrated Optical Circuits and Components (Marcel Dekker, New York, 1987).

    Google Scholar 

  2. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983; Radio i Svyaz’, Moscow, 1987).

    Google Scholar 

  3. A. I. Kleev, A. B. Manenkov, and A. G. Rozhnev, Radiotekh. Élektron. (Moscow) 38, 769 (1993).

    ADS  Google Scholar 

  4. K. S. Chiang, Opt. Quantum Electron. 26(3), S113 (1994).

    Article  MathSciNet  Google Scholar 

  5. V. V. Shevchenko, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 15, 257 (1972).

    Google Scholar 

  6. A. G. Rozhnev and A. B. Manenkov, Radiotekh. Élektron. (Moscow) 42, 785 (1997).

    Google Scholar 

  7. A. B. Manenkov and A. G. Rozhnev, Opt. Quantum Electron. 30(2), 61 (1998).

    Google Scholar 

  8. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals (Clarendon, Oxford, 1948; Gostekhizdat, Moscow, 1948).

    Google Scholar 

  9. A. B. Sotskii and L. I. Sorskaya, Opt. Quantum Electron. 31, 733 (1999).

    Google Scholar 

  10. V. I. Krylov, V. V. Bobkov, and P. I. Monastyrnyi, Computational Methods (Nauka, Moscow, 1977), Vol. 2.

    Google Scholar 

  11. A. A. Romanenko and A. B. Sotskii, Zh. Tekh. Fiz. 68(4), 88 (1998) [Tech. Phys. 43, 427 (1998)].

    Google Scholar 

  12. N. N. Voitovich, B. Z. Katsenelenbaum, A. N. Sivov, and A. D. Shatrov, Radiotekh. Élektron. (Moscow) 24, 1245 (1979).

    ADS  Google Scholar 

  13. A. B. Sotskii, I. U. Primak, and L. I. Sotskaya, Zh. Prikl. Spektrosk. 67, 382 (2000).

    Google Scholar 

  14. L. I. Sotskaya and A. B. Sotskii, Opt. Spektrosk. 72, 513 (1992) [Opt. Spectrosc. 72, 276 (1992)].

    Google Scholar 

  15. W. Freude and A. Sharma, J. Lightwave Technol. 3, 628 (1985).

    ADS  Google Scholar 

  16. S. J. Hosain, J. P. Meunier, E. Bourillot, et al., Fiber Integr. Opt. 14, 89 (1995).

    Google Scholar 

  17. A. B. Sotskii and L. I. Sotskaya, Opt. Spektrosk. 92, 141 (2002) [Opt. Spectrosc. 92, 112 (2002)].

    Google Scholar 

  18. L. I. Sotskaya, Zh. Tekh. Fiz. 70(9), 89 (2000) [Tech. Phys. 45, 1182 (2000)].

    Google Scholar 

  19. A. B. Sotskii and L. I. Sotskaya, Proc. SPIE 4358, 212 (2001).

    ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Optics, Belarussian Academy of Sciences, Mogilev, 212793, Belarus

    L. I. Sotskaya & A. B. Sotskii

Authors
  1. L. I. Sotskaya
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  2. A. B. Sotskii
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 12, 2002, pp. 1–8.

Original Russian Text Copyright © 2002 by Sotskaya, Sotskii.

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Sotskaya, L.I., Sotskii, A.B. Method of integral equation in the theory of weak-guiding inhomogeneous optical waveguides. Tech. Phys. 47, 1487–1494 (2002). https://doi.org/10.1134/1.1529936

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  • DOI: https://doi.org/10.1134/1.1529936

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