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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 3 — Mar. 1, 1981
  • pp: 259–273

Scattering from inhomogeneities inside a fiber waveguide

Nikolaos K. Uzunoglu  »View Author Affiliations


JOSA, Vol. 71, Issue 3, pp. 259-273 (1981)
http://dx.doi.org/10.1364/JOSA.71.000259


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Abstract

The interaction of surface guided modes with scatterers inside a fiber dielectric waveguide is investigated analytically. A volume integral equation technique, based on Green’s function theory for fiber boundaries, is used to formulate the problem. For the case of spherical scatterers, an analytical solution is developed by using an expansion in spherical vector wave functions, when b(Ʀ1 - Ʀ2) < 1, where (Ʀ1 - Ʀ2) is the difference between the wave numbers of the fiber and the spherical scatterer whose radius is b. Expressions are obtained for the reflection, transmission, and radiated-field quantities up to the order of [b(ʦ1 - Ʀ2)]5. Numerical results are computed and presented for several cases. Coupling between even—odd HE11 modes is treated also.

© 1981 Optical Society of America

Citation
Nikolaos K. Uzunoglu, "Scattering from inhomogeneities inside a fiber waveguide," J. Opt. Soc. Am. 71, 259-273 (1981)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-71-3-259


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References

  1. D. Hondros and P. Debye, "Electromagnetische Wellen an dielektrishen Drahten," Ann. Phys. Leipzig 32, 465–476 (1910).
  2. E. A. J. Marcatili, "Dielectric rectangular waveguide and directional coupler for integrated optics," Bell Syst. Tech. J. 48, 2071–2102 (1969).
  3. J. E. Goell, "A circular-harmonic computer analysis of rectangular dielectric waveguides," Bell Syst. Tech. J. 48, 2133–2160 (1969).
  4. D. Marcuse, Light Transmission Optics (Van Nostrand, New York, 1972).
  5. C. Yeh et al., "Single-mode optical waveguides," Appl. Opt. 18, 1490–1504 (1979).
  6. J. G. Fikioris and N. K. Uzunoglu, "Scattering of plane and guided waves from composite dielectric bodies," in Proceedings of the Ninth European Microwave Conference (Microwave Exhibition and Publishers Ltd., Kent, England, 1979), pp. 516–520.
  7. A Safaai-Jazi and G. L. Yip, "Scattering from an off-axis inhomogeneity in step index optical fibers: radiation loss," J. Opt. Soc. Am. 70, 40–52 (1980).
  8. N. Morita and N. Kumagai, "Scattering and mode conversion of guided modes by a spherical object in an optical fiber," IEEE Trans. Microwave Theory Tech. MTT-28, 137–141 (1980).
  9. P. M. Morse and H. Feschbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Part II.
  10. D. S. Jones, The Theory of Electromagnetism (Pergamon, Oxford, 1964).
  11. A. R. Sommerfeld, Partial Differential Equations in Physics (Academic, New York, 1949), Chap. VI.
  12. R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960), Chap. 11.
  13. C.-T. Tai, Dyadic Green's Functions in Electromagnetic Theory (International Textbook, Scranton, Pa., 1971).
  14. W. M. Elsasser, "Attenuation in a dielectric circular rod," J. Appl. Phys. 20, 1188–1192 (1949).
  15. R. J. Pogorzelski and E. Lun," On the expansion of cylindrical waves in terms of spherical vector waves," Radio Sci. 11, 753–761 (1976).
  16. R. Mittra, ed., Computer Techniques for Electromagnetics (Pergamon, New York, 1973).
  17. R. F. Harrington, Field Computation by Moment Methods (Macmillan, New York, 1968).
  18. E. C. Jordan and K. G. Balmain, Electromagnetic Waves and Radiating Systems (Prentice-Hall, Englewood Cliffs, N.J., 1968), Chap. 13.
  19. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

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