Abstract

The main purpose of this study is to find the wave path of a beam wave in an inhomogeneous medium in which the permittivity is assumed to decrease linearly in one direction. A two-dimensional Gaussian beam is considered which can be described as a superposition of a number of plane waves. Variations of amplitude of the beam are illustrated. There are some differences between the path of the beam and the ray path obtained by Fermat’s principle.

© 1976 Optical Society of America

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References

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  1. L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960), pp. 168–232.
  2. S. Nemoto and T. Makimoto, J. Inst. Electron. Commun. Engrs. (Jpn.) 53-B, 217 (1971).
  3. B. R. Horowitz and T. Tamir, J. Opt. Soc. Am. 61, 586 (1971).
  4. H. K. V. Lotsch, Optik 32, 116, 189, 299, and 553 (1970/71).
  5. B. R. Horowitz and T. Tamir, Appl. Phys. 1, 31 (1973).

Brekhovskikh, L. M.

L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960), pp. 168–232.

Horowitz, B. R.

B. R. Horowitz and T. Tamir, J. Opt. Soc. Am. 61, 586 (1971).

B. R. Horowitz and T. Tamir, Appl. Phys. 1, 31 (1973).

Lotsch, H. K. V.

H. K. V. Lotsch, Optik 32, 116, 189, 299, and 553 (1970/71).

Makimoto, T.

S. Nemoto and T. Makimoto, J. Inst. Electron. Commun. Engrs. (Jpn.) 53-B, 217 (1971).

Nemoto, S.

S. Nemoto and T. Makimoto, J. Inst. Electron. Commun. Engrs. (Jpn.) 53-B, 217 (1971).

Tamir, T.

B. R. Horowitz and T. Tamir, J. Opt. Soc. Am. 61, 586 (1971).

B. R. Horowitz and T. Tamir, Appl. Phys. 1, 31 (1973).

Other

L. M. Brekhovskikh, Waves in Layered Media (Academic, New York, 1960), pp. 168–232.

S. Nemoto and T. Makimoto, J. Inst. Electron. Commun. Engrs. (Jpn.) 53-B, 217 (1971).

B. R. Horowitz and T. Tamir, J. Opt. Soc. Am. 61, 586 (1971).

H. K. V. Lotsch, Optik 32, 116, 189, 299, and 553 (1970/71).

B. R. Horowitz and T. Tamir, Appl. Phys. 1, 31 (1973).

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