Abstract

Some recent developments in the treatment of evanescent waves are reviewed. Such new methods as evanescent wave tracking, complex ray, and complex-source-point techniques are discussed and illustrated by examples, which include Gaussian beams, shadow formation due to evanescent fields, propagation on curved dielectric layers, and modal fields in graded-index films and fibers.

© 1976 Optical Society of America

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  1. J. B. Keller, Proceedings of the Symposium on Applied Mathematics (McGraw-Hill, New York, 1958), p. 27.
  2. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice Hall, Englewood Cliffs, N.J., 1973), Secs. 1.6 and 1.7.
  3. S. Choudhary and L. B. Felsen, IEEE Trans. Antennas Propag. AP-21, 730, 1973.
  4. G. Otis, J. Opt. Soc. Am. 64, 1545, 1974.
  5. S. Choudhary and L. B. Felsen, "Propagation in inhomogeneous slab wave guides" paper presented at the IEEE-MTTS International Microwave Symposium, Cherry Hill, N. J., June 14–16, 1976.
  6. S. Choudhary and L. B. Felsen, Proc. IEEE 62, 1530, 1974.
  7. J. B. Keller and W. Streifer, J. Opt. Soc. Am. 61, 40, 1971.
  8. Yu. A. Kravtsov, Proceedings of the 4th All Union Diffraction of Waves (Nauka, Moscow, 1967).
  9. L. B. Felsen, Philips Res. Rep. 30, 187, 1975.
  10. G. A. Deschamps, Electron. Lett. 7, No. 23 (1971).
  11. J. A. Arnaud, Appl. Opt. 8, 1909, 1969.
  12. L. B. Felsen, "Complex-source-point solutions of the field equations and their relation to the propagation and scattering of Gaussian beams," Symp. Mat. (to be published).
  13. S. Y. Shin and L. B. Felsen, Appl. Phys. 5, 239, 1974.
  14. L. B. Felsen and S. Y. Shin, IEEE Trans. Microwave Theory Tech. MTT-23, 150, 1975.
  15. S. Y. Shin and L. B. Felsen, "Gaussian Beam Tracking in an Optical Fiber," in preparation.
  16. W-Y. D. Wang and G. A. Deschamps, Proc. IEEE 62, 1541, 1974.
  17. E. Gowan and G. A. Deschamps, Antenna Lab., Univ of Illinois, Urbana, Ill., Report 70-5, 1970.
  18. Ref. 2, Sec. 6.5.
  19. A. Green, H. Bertoni, and L. B. Felsen, Progress Report to Joint Services Technical Advisory Committee, Polytechnic Institute of New York, 1974.
  20. A. Green, Doctoral dissertation (Polytechnic Institute, New York, 1976).
  21. H. Jeffreys, Asymptotic Approximations (Oxford U. P., 1962), Sec. 2.5.
  22. L. B. Felsen and S. Choudhary, invited paper presented at the Colloquium on the Optics of Guided Waves, Paris, April 1975; Rev. Opt. 6, No. 5, 297, 1975.
  23. A. W. Snyder and J. D. Love, IEEE Trans. Microwave Theory Tech. MTT-23, 134, 1975.
  24. E. T. Kornhauser and A. D. Yaghjian, Radio Sci. 2, 229, 1967.
  25. S. Choudhary and L. B. Felsen, "Propagation in graded-index fibers," (unpublished).
  26. C. Imbert, invited paper presented at the Colloquium on the Optics of Guided Waves, Paris, April, 1975; Rev. Opt. 6, No. 5, 1975.
  27. J. W. Ra, H. Bertoni, and L. B. Felsen, SIAM J. Appl. Math. (Soc. Ind. Appl. Math) 24, 396, 1973.
  28. S. Y. Shin and L. B. Felsen, "Lateral ray and beam shifts associated with total reflection" (unpublished).
  29. H. Kogelnik and H. P. Weber, J. Opt. Soc. Am. 64, 174, 1974.

Arnaud, J. A.

J. A. Arnaud, Appl. Opt. 8, 1909, 1969.

Bertoni, H.

A. Green, H. Bertoni, and L. B. Felsen, Progress Report to Joint Services Technical Advisory Committee, Polytechnic Institute of New York, 1974.

J. W. Ra, H. Bertoni, and L. B. Felsen, SIAM J. Appl. Math. (Soc. Ind. Appl. Math) 24, 396, 1973.

Choudhary, S.

S. Choudhary and L. B. Felsen, "Propagation in graded-index fibers," (unpublished).

L. B. Felsen and S. Choudhary, invited paper presented at the Colloquium on the Optics of Guided Waves, Paris, April 1975; Rev. Opt. 6, No. 5, 297, 1975.

S. Choudhary and L. B. Felsen, "Propagation in inhomogeneous slab wave guides" paper presented at the IEEE-MTTS International Microwave Symposium, Cherry Hill, N. J., June 14–16, 1976.

S. Choudhary and L. B. Felsen, IEEE Trans. Antennas Propag. AP-21, 730, 1973.

S. Choudhary and L. B. Felsen, Proc. IEEE 62, 1530, 1974.

Deschamps, G. A.

G. A. Deschamps, Electron. Lett. 7, No. 23 (1971).

E. Gowan and G. A. Deschamps, Antenna Lab., Univ of Illinois, Urbana, Ill., Report 70-5, 1970.

W-Y. D. Wang and G. A. Deschamps, Proc. IEEE 62, 1541, 1974.

Felsen, L. B.

S. Y. Shin and L. B. Felsen, "Gaussian Beam Tracking in an Optical Fiber," in preparation.

S. Y. Shin and L. B. Felsen, Appl. Phys. 5, 239, 1974.

L. B. Felsen and S. Y. Shin, IEEE Trans. Microwave Theory Tech. MTT-23, 150, 1975.

A. Green, H. Bertoni, and L. B. Felsen, Progress Report to Joint Services Technical Advisory Committee, Polytechnic Institute of New York, 1974.

L. B. Felsen, Philips Res. Rep. 30, 187, 1975.

L. B. Felsen, "Complex-source-point solutions of the field equations and their relation to the propagation and scattering of Gaussian beams," Symp. Mat. (to be published).

S. Choudhary and L. B. Felsen, "Propagation in inhomogeneous slab wave guides" paper presented at the IEEE-MTTS International Microwave Symposium, Cherry Hill, N. J., June 14–16, 1976.

S. Choudhary and L. B. Felsen, Proc. IEEE 62, 1530, 1974.

S. Choudhary and L. B. Felsen, IEEE Trans. Antennas Propag. AP-21, 730, 1973.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice Hall, Englewood Cliffs, N.J., 1973), Secs. 1.6 and 1.7.

S. Choudhary and L. B. Felsen, "Propagation in graded-index fibers," (unpublished).

L. B. Felsen and S. Choudhary, invited paper presented at the Colloquium on the Optics of Guided Waves, Paris, April 1975; Rev. Opt. 6, No. 5, 297, 1975.

J. W. Ra, H. Bertoni, and L. B. Felsen, SIAM J. Appl. Math. (Soc. Ind. Appl. Math) 24, 396, 1973.

S. Y. Shin and L. B. Felsen, "Lateral ray and beam shifts associated with total reflection" (unpublished).

Gowan, E.

E. Gowan and G. A. Deschamps, Antenna Lab., Univ of Illinois, Urbana, Ill., Report 70-5, 1970.

Green, A.

A. Green, Doctoral dissertation (Polytechnic Institute, New York, 1976).

A. Green, H. Bertoni, and L. B. Felsen, Progress Report to Joint Services Technical Advisory Committee, Polytechnic Institute of New York, 1974.

Imbert, C.

C. Imbert, invited paper presented at the Colloquium on the Optics of Guided Waves, Paris, April, 1975; Rev. Opt. 6, No. 5, 1975.

Jeffreys, H.

H. Jeffreys, Asymptotic Approximations (Oxford U. P., 1962), Sec. 2.5.

Keller, J. B.

J. B. Keller and W. Streifer, J. Opt. Soc. Am. 61, 40, 1971.

J. B. Keller, Proceedings of the Symposium on Applied Mathematics (McGraw-Hill, New York, 1958), p. 27.

Kogelnik, H.

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

Kornhauser, E. T.

E. T. Kornhauser and A. D. Yaghjian, Radio Sci. 2, 229, 1967.

Kravtsov, Yu. A.

Yu. A. Kravtsov, Proceedings of the 4th All Union Diffraction of Waves (Nauka, Moscow, 1967).

Love, J. D.

A. W. Snyder and J. D. Love, IEEE Trans. Microwave Theory Tech. MTT-23, 134, 1975.

Marcuvitz, N.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice Hall, Englewood Cliffs, N.J., 1973), Secs. 1.6 and 1.7.

Otis, G.

G. Otis, J. Opt. Soc. Am. 64, 1545, 1974.

Ra, J. W.

J. W. Ra, H. Bertoni, and L. B. Felsen, SIAM J. Appl. Math. (Soc. Ind. Appl. Math) 24, 396, 1973.

Shin, S. Y.

S. Y. Shin and L. B. Felsen, "Lateral ray and beam shifts associated with total reflection" (unpublished).

S. Y. Shin and L. B. Felsen, Appl. Phys. 5, 239, 1974.

L. B. Felsen and S. Y. Shin, IEEE Trans. Microwave Theory Tech. MTT-23, 150, 1975.

S. Y. Shin and L. B. Felsen, "Gaussian Beam Tracking in an Optical Fiber," in preparation.

Snyder, A. W.

A. W. Snyder and J. D. Love, IEEE Trans. Microwave Theory Tech. MTT-23, 134, 1975.

Streifer, W.

J. B. Keller and W. Streifer, J. Opt. Soc. Am. 61, 40, 1971.

Wang, W-Y. D.

W-Y. D. Wang and G. A. Deschamps, Proc. IEEE 62, 1541, 1974.

Weber, H. P.

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

Yaghjian, A. D.

E. T. Kornhauser and A. D. Yaghjian, Radio Sci. 2, 229, 1967.

Other (29)

J. B. Keller, Proceedings of the Symposium on Applied Mathematics (McGraw-Hill, New York, 1958), p. 27.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice Hall, Englewood Cliffs, N.J., 1973), Secs. 1.6 and 1.7.

S. Choudhary and L. B. Felsen, IEEE Trans. Antennas Propag. AP-21, 730, 1973.

G. Otis, J. Opt. Soc. Am. 64, 1545, 1974.

S. Choudhary and L. B. Felsen, "Propagation in inhomogeneous slab wave guides" paper presented at the IEEE-MTTS International Microwave Symposium, Cherry Hill, N. J., June 14–16, 1976.

S. Choudhary and L. B. Felsen, Proc. IEEE 62, 1530, 1974.

J. B. Keller and W. Streifer, J. Opt. Soc. Am. 61, 40, 1971.

Yu. A. Kravtsov, Proceedings of the 4th All Union Diffraction of Waves (Nauka, Moscow, 1967).

L. B. Felsen, Philips Res. Rep. 30, 187, 1975.

G. A. Deschamps, Electron. Lett. 7, No. 23 (1971).

J. A. Arnaud, Appl. Opt. 8, 1909, 1969.

L. B. Felsen, "Complex-source-point solutions of the field equations and their relation to the propagation and scattering of Gaussian beams," Symp. Mat. (to be published).

S. Y. Shin and L. B. Felsen, Appl. Phys. 5, 239, 1974.

L. B. Felsen and S. Y. Shin, IEEE Trans. Microwave Theory Tech. MTT-23, 150, 1975.

S. Y. Shin and L. B. Felsen, "Gaussian Beam Tracking in an Optical Fiber," in preparation.

W-Y. D. Wang and G. A. Deschamps, Proc. IEEE 62, 1541, 1974.

E. Gowan and G. A. Deschamps, Antenna Lab., Univ of Illinois, Urbana, Ill., Report 70-5, 1970.

Ref. 2, Sec. 6.5.

A. Green, H. Bertoni, and L. B. Felsen, Progress Report to Joint Services Technical Advisory Committee, Polytechnic Institute of New York, 1974.

A. Green, Doctoral dissertation (Polytechnic Institute, New York, 1976).

H. Jeffreys, Asymptotic Approximations (Oxford U. P., 1962), Sec. 2.5.

L. B. Felsen and S. Choudhary, invited paper presented at the Colloquium on the Optics of Guided Waves, Paris, April 1975; Rev. Opt. 6, No. 5, 297, 1975.

A. W. Snyder and J. D. Love, IEEE Trans. Microwave Theory Tech. MTT-23, 134, 1975.

E. T. Kornhauser and A. D. Yaghjian, Radio Sci. 2, 229, 1967.

S. Choudhary and L. B. Felsen, "Propagation in graded-index fibers," (unpublished).

C. Imbert, invited paper presented at the Colloquium on the Optics of Guided Waves, Paris, April, 1975; Rev. Opt. 6, No. 5, 1975.

J. W. Ra, H. Bertoni, and L. B. Felsen, SIAM J. Appl. Math. (Soc. Ind. Appl. Math) 24, 396, 1973.

S. Y. Shin and L. B. Felsen, "Lateral ray and beam shifts associated with total reflection" (unpublished).

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

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