Abstract

A method based on ray-optics techniques is used to evaluate the dispersion characteristics of a symmetrical-slab waveguide with an index distribution that varies from a quasi-parabolic to the quasi-step profile. The validity and accuracy of the method are checked by comparison with results that can be obtained by different methods, either for the cases of a particular graded index or for a step-index profile.

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  1. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 286.
  2. N. S. Kapany and J. J. Burke, Optical Waveguides (Academic, New York, 1972).
  3. Reference 2, p. 74.
  4. H. Kogelnik and H. P. Weber, J. Opt. Soc. Am. 64, 174 (1974).
  5. M. Ikeda, IEEE J. QE-10, 362 (1974).
  6. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice—Hall, Englewood Cliffs, N. J., 1973), Secs. 1.7-b and 5.8.
  7. IBM 1130 Scientific Subroutine Package (1130-CM-02X) Fortran Program RKGS, pp. 92–95.
  8. Reference 6, Sec. 5. 9-b.
  9. D. Gloge, Appl. Opt. 10, 2252 (1971).
  10. These notations have been introduced for a step-index distribution, hence are quite adequate for the quasi-step profiles (large values of C). For continuity, they were used also for the quasi-parabolic case.

Burke, J. J.

N. S. Kapany and J. J. Burke, Optical Waveguides (Academic, New York, 1972).

Felsen, L. B.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice—Hall, Englewood Cliffs, N. J., 1973), Secs. 1.7-b and 5.8.

Gloge, D.

D. Gloge, Appl. Opt. 10, 2252 (1971).

Ikeda, M.

M. Ikeda, IEEE J. QE-10, 362 (1974).

Kapany, N. S.

N. S. Kapany and J. J. Burke, Optical Waveguides (Academic, New York, 1972).

Kogelnik, H.

H. Kogelnik and H. P. Weber, J. Opt. Soc. Am. 64, 174 (1974).

Marcuse, D.

D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 286.

Marcuvitz, N.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice—Hall, Englewood Cliffs, N. J., 1973), Secs. 1.7-b and 5.8.

Weber, H. P.

H. Kogelnik and H. P. Weber, J. Opt. Soc. Am. 64, 174 (1974).

Other

D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 286.

N. S. Kapany and J. J. Burke, Optical Waveguides (Academic, New York, 1972).

Reference 2, p. 74.

H. Kogelnik and H. P. Weber, J. Opt. Soc. Am. 64, 174 (1974).

M. Ikeda, IEEE J. QE-10, 362 (1974).

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice—Hall, Englewood Cliffs, N. J., 1973), Secs. 1.7-b and 5.8.

IBM 1130 Scientific Subroutine Package (1130-CM-02X) Fortran Program RKGS, pp. 92–95.

Reference 6, Sec. 5. 9-b.

D. Gloge, Appl. Opt. 10, 2252 (1971).

These notations have been introduced for a step-index distribution, hence are quite adequate for the quasi-step profiles (large values of C). For continuity, they were used also for the quasi-parabolic case.

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