Abstract

We report a wave-optical analysis of light propagation along leaky waveguides using a symmetric hollow dielectric slab as a model. The field deformation due to leakage into the surrounding regions for a guided wave that penetrated into the hollow structure is studied by using the eigenmode expansion method, where the propagation is described by an integral over the modes of the continuum. The numerical evaluation of the integral expansion enables us to estimate the radiation loss for the incident wave. Results are compared with those and complex leaky waves.

© 1980 Optical Society of America

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  1. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, New York, 1974).
  2. T. Tamir, "Beam and waveguide couplers," in Topics in Applied Physics, Vol. 7: Integrated Optics (Springer-Verlag, New York, 1975).
  3. D. B. Hall and C. Yeh, "Leaky waves in a heteroepitaxial film," J. Appl. Phys. 44, 2271–2274 (1973).
  4. R. Ulrich and W. Prettl, "Planar leaky light-guides and couplers," Appl. Phys. 1, 55–68 (1973).
  5. T. P. Sosnowski, "Polarization mode filters for integrated optics," Opt. Commun. 4, 408–412 (1972).
  6. I. J. Kurland and H. L. Bertoni, "Birefringent prism couplers for thin-film optical waveguides," Appl. Opt. 17, 1030–1037 (1978).
  7. S. Yamamoto and T. Makimoto, "Semileaky-type thin-film magneto-optic waveguide for modular application," J. Appl. Phys. 48, 1680–1682 (1977).
  8. S. Yamamoto, Y. Okamura, and T. Makimoto, "Analysis and design of semileaky-type thin-film optical waveguide isolator," IEEE J. Quantum Electron. QE-12, 764–770 (1976).
  9. J. E. Bjorkholm, T. P. Sosnowski, and C. V. Shank, "Distributed-feedback lasers in optical waveguides deposited on anisotropic substrates," Appl. Phys. Lett. 22, 132–134 (1973).
  10. E. A. J. Marcatili and R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783–1809 (1964).
  11. P. W. Smith, "A waveguide gas laser," Appl. Phys. Lett. 19, 132–134 (1971).
  12. D. Marcuse, "Hollow dielectric waveguide for distributed feedback lasers," IEEE J. Quantum Electron. QE-8, 661–669 (1972).
  13. D. Marcuse, "Wave propagation along a dielectric interface," J. Opt. Soc. Am. 64, 794–797 (1974).
  14. P. K. Tien, "Light waves in thin films and integrated optics," Appl. Opt. 10, 2395–2413 (1971).
  15. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972).
  16. H. Kogelnik and H. P. Weber, "Rays, stored energy, and power flow in dielectric waveguides," J. Opt. Soc. Am. 64, 174–185 (1974).

1978

1977

S. Yamamoto and T. Makimoto, "Semileaky-type thin-film magneto-optic waveguide for modular application," J. Appl. Phys. 48, 1680–1682 (1977).

1976

S. Yamamoto, Y. Okamura, and T. Makimoto, "Analysis and design of semileaky-type thin-film optical waveguide isolator," IEEE J. Quantum Electron. QE-12, 764–770 (1976).

1974

1973

J. E. Bjorkholm, T. P. Sosnowski, and C. V. Shank, "Distributed-feedback lasers in optical waveguides deposited on anisotropic substrates," Appl. Phys. Lett. 22, 132–134 (1973).

D. B. Hall and C. Yeh, "Leaky waves in a heteroepitaxial film," J. Appl. Phys. 44, 2271–2274 (1973).

R. Ulrich and W. Prettl, "Planar leaky light-guides and couplers," Appl. Phys. 1, 55–68 (1973).

1972

T. P. Sosnowski, "Polarization mode filters for integrated optics," Opt. Commun. 4, 408–412 (1972).

D. Marcuse, "Hollow dielectric waveguide for distributed feedback lasers," IEEE J. Quantum Electron. QE-8, 661–669 (1972).

1971

P. W. Smith, "A waveguide gas laser," Appl. Phys. Lett. 19, 132–134 (1971).

P. K. Tien, "Light waves in thin films and integrated optics," Appl. Opt. 10, 2395–2413 (1971).

1964

E. A. J. Marcatili and R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783–1809 (1964).

Bertoni, H. L.

Bjorkholm, J. E.

J. E. Bjorkholm, T. P. Sosnowski, and C. V. Shank, "Distributed-feedback lasers in optical waveguides deposited on anisotropic substrates," Appl. Phys. Lett. 22, 132–134 (1973).

Hall, D. B.

D. B. Hall and C. Yeh, "Leaky waves in a heteroepitaxial film," J. Appl. Phys. 44, 2271–2274 (1973).

Kogelnik, H.

Kurland, I. J.

Makimoto, T.

S. Yamamoto and T. Makimoto, "Semileaky-type thin-film magneto-optic waveguide for modular application," J. Appl. Phys. 48, 1680–1682 (1977).

S. Yamamoto, Y. Okamura, and T. Makimoto, "Analysis and design of semileaky-type thin-film optical waveguide isolator," IEEE J. Quantum Electron. QE-12, 764–770 (1976).

Marcatili, E. A. J.

E. A. J. Marcatili and R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783–1809 (1964).

Marcuse, D.

D. Marcuse, "Wave propagation along a dielectric interface," J. Opt. Soc. Am. 64, 794–797 (1974).

D. Marcuse, "Hollow dielectric waveguide for distributed feedback lasers," IEEE J. Quantum Electron. QE-8, 661–669 (1972).

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

D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, New York, 1974).

Okamura, Y.

S. Yamamoto, Y. Okamura, and T. Makimoto, "Analysis and design of semileaky-type thin-film optical waveguide isolator," IEEE J. Quantum Electron. QE-12, 764–770 (1976).

Prettl, W.

R. Ulrich and W. Prettl, "Planar leaky light-guides and couplers," Appl. Phys. 1, 55–68 (1973).

Schmeltzer, R. A.

E. A. J. Marcatili and R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783–1809 (1964).

Shank, C. V.

J. E. Bjorkholm, T. P. Sosnowski, and C. V. Shank, "Distributed-feedback lasers in optical waveguides deposited on anisotropic substrates," Appl. Phys. Lett. 22, 132–134 (1973).

Smith, P. W.

P. W. Smith, "A waveguide gas laser," Appl. Phys. Lett. 19, 132–134 (1971).

Sosnowski, T. P.

J. E. Bjorkholm, T. P. Sosnowski, and C. V. Shank, "Distributed-feedback lasers in optical waveguides deposited on anisotropic substrates," Appl. Phys. Lett. 22, 132–134 (1973).

T. P. Sosnowski, "Polarization mode filters for integrated optics," Opt. Commun. 4, 408–412 (1972).

Tamir, T.

T. Tamir, "Beam and waveguide couplers," in Topics in Applied Physics, Vol. 7: Integrated Optics (Springer-Verlag, New York, 1975).

Tien, P. K.

Ulrich, R.

R. Ulrich and W. Prettl, "Planar leaky light-guides and couplers," Appl. Phys. 1, 55–68 (1973).

Weber, H. P.

Yamamoto, S.

S. Yamamoto and T. Makimoto, "Semileaky-type thin-film magneto-optic waveguide for modular application," J. Appl. Phys. 48, 1680–1682 (1977).

S. Yamamoto, Y. Okamura, and T. Makimoto, "Analysis and design of semileaky-type thin-film optical waveguide isolator," IEEE J. Quantum Electron. QE-12, 764–770 (1976).

Yeh, C.

D. B. Hall and C. Yeh, "Leaky waves in a heteroepitaxial film," J. Appl. Phys. 44, 2271–2274 (1973).

Appl. Opt.

Appl. Phys.

R. Ulrich and W. Prettl, "Planar leaky light-guides and couplers," Appl. Phys. 1, 55–68 (1973).

Appl. Phys. Lett.

J. E. Bjorkholm, T. P. Sosnowski, and C. V. Shank, "Distributed-feedback lasers in optical waveguides deposited on anisotropic substrates," Appl. Phys. Lett. 22, 132–134 (1973).

P. W. Smith, "A waveguide gas laser," Appl. Phys. Lett. 19, 132–134 (1971).

Bell Syst. Tech. J.

E. A. J. Marcatili and R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783–1809 (1964).

IEEE J. Quantum Electron.

D. Marcuse, "Hollow dielectric waveguide for distributed feedback lasers," IEEE J. Quantum Electron. QE-8, 661–669 (1972).

S. Yamamoto, Y. Okamura, and T. Makimoto, "Analysis and design of semileaky-type thin-film optical waveguide isolator," IEEE J. Quantum Electron. QE-12, 764–770 (1976).

J. Appl. Phys.

D. B. Hall and C. Yeh, "Leaky waves in a heteroepitaxial film," J. Appl. Phys. 44, 2271–2274 (1973).

S. Yamamoto and T. Makimoto, "Semileaky-type thin-film magneto-optic waveguide for modular application," J. Appl. Phys. 48, 1680–1682 (1977).

J. Opt. Soc. Am.

Opt. Commun.

T. P. Sosnowski, "Polarization mode filters for integrated optics," Opt. Commun. 4, 408–412 (1972).

Other

D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, New York, 1974).

T. Tamir, "Beam and waveguide couplers," in Topics in Applied Physics, Vol. 7: Integrated Optics (Springer-Verlag, New York, 1975).

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

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