Abstract

A new numerical analysis is proposed to investigate accurately the propagation characteristics of a dielectric thin-film waveguide, and its algorithm is presented. In this method, the Rayleigh principle previously used in conventional mode-matching techniques is extended to the Fourier transform of the wave field in the boundary-value problem for an unbounded object. Successful numerical results for dispersion relations and field distributions in a rib waveguide are obtained in detail, accompanied by their error estimations. The propagation characteristics, including field distributions in an optical rib waveguide, are investigated precisely for several geometries, and it is confirmed that the modematching method is accurate and effective for numerical analysis, not only with bounded objects, but also with unbounded objects such as thin-film waveguides in integrated optics.

© 1980 Optical Society of America

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  1. E. A. J. Marcatili, "Slab-coupled waveguides," Bell Syst. Tech. J. 53, 645–674 (1974).
  2. K. Petermann, "Theory of single-mode single-material fibers," AEÜ, Arch. fur Elektron. und Uebertragungstech. Electron. und Commun. 30, 147–153 (1976).
  3. H. Furuta, H. Noda, and A. Ihaya, "Novel optical waveguide for integrated optics," Appl. Opt. 13, 322–326 (1974).
  4. Y. Miyazaki, "Optical Modes in Dielectric Thin Film Fiber with Convex Surface," Trans. IECE Jpn, 10, 1–6 (1976).
  5. P. M. Pelosi, P. Vandenbulcke, C. D. W. Wilkinson, and R. M. De La Rue, "Propagation characteristics of trapezoidal cross-section ridge optical waveguides: An experimental and theoretical investigation," investigation," Appl. Opt. 17, 1187–1193 (1978).
  6. K. Yasuura, "Numerical analysis of thin-film fiber—Rayleigh principle in Fourier transform—," IOOC'77 A2–3, 25–28 (1977).
  7. H. Ikuno and K. Yasuura, "Improved point-matching method with application to scattering from a periodic surface," IEEE Trans. Antennas Propag. AP-21, 657–662 (1973).
  8. R. F. Millar, "The Rayleigh hypothesis and a related least-squares solution to scattering problem for periodic surfaces and other scatters," Radio Sci. 8, 785–796 (1973).
  9. K. Yasuura and T. Miyamoto, "Numerical analysis on isotropic elastic waveguides by mode-matching method—I,II," IEEE Trans. Sonics Ultrason. SU-24, 359–375 (1977).
  10. K. Yasuura, "A view of numerical method in diffraction problems," Progress in Radio Science 1966–1969, edited by W. V. Tilsten and M. Sauzade (URSI, Brussels, 1971) pp. 257–270.
  11. A. P. Calderón, "The multipole expansion of radiation fields," J. Ration. Mech. Anal. 3, 523–537 (1954).

1978 (1)

1977 (2)

K. Yasuura, "Numerical analysis of thin-film fiber—Rayleigh principle in Fourier transform—," IOOC'77 A2–3, 25–28 (1977).

K. Yasuura and T. Miyamoto, "Numerical analysis on isotropic elastic waveguides by mode-matching method—I,II," IEEE Trans. Sonics Ultrason. SU-24, 359–375 (1977).

1976 (1)

Y. Miyazaki, "Optical Modes in Dielectric Thin Film Fiber with Convex Surface," Trans. IECE Jpn, 10, 1–6 (1976).

1974 (2)

E. A. J. Marcatili, "Slab-coupled waveguides," Bell Syst. Tech. J. 53, 645–674 (1974).

H. Furuta, H. Noda, and A. Ihaya, "Novel optical waveguide for integrated optics," Appl. Opt. 13, 322–326 (1974).

1973 (2)

H. Ikuno and K. Yasuura, "Improved point-matching method with application to scattering from a periodic surface," IEEE Trans. Antennas Propag. AP-21, 657–662 (1973).

R. F. Millar, "The Rayleigh hypothesis and a related least-squares solution to scattering problem for periodic surfaces and other scatters," Radio Sci. 8, 785–796 (1973).

1954 (1)

A. P. Calderón, "The multipole expansion of radiation fields," J. Ration. Mech. Anal. 3, 523–537 (1954).

Calderón, A. P.

A. P. Calderón, "The multipole expansion of radiation fields," J. Ration. Mech. Anal. 3, 523–537 (1954).

De La Rue, R. M.

Furuta, H.

Ihaya, A.

Ikuno, H.

H. Ikuno and K. Yasuura, "Improved point-matching method with application to scattering from a periodic surface," IEEE Trans. Antennas Propag. AP-21, 657–662 (1973).

Marcatili, E. A. J.

E. A. J. Marcatili, "Slab-coupled waveguides," Bell Syst. Tech. J. 53, 645–674 (1974).

Millar, R. F.

R. F. Millar, "The Rayleigh hypothesis and a related least-squares solution to scattering problem for periodic surfaces and other scatters," Radio Sci. 8, 785–796 (1973).

Miyamoto, T.

K. Yasuura and T. Miyamoto, "Numerical analysis on isotropic elastic waveguides by mode-matching method—I,II," IEEE Trans. Sonics Ultrason. SU-24, 359–375 (1977).

Miyazaki, Y.

Y. Miyazaki, "Optical Modes in Dielectric Thin Film Fiber with Convex Surface," Trans. IECE Jpn, 10, 1–6 (1976).

Noda, H.

Pelosi, P. M.

Petermann, K.

K. Petermann, "Theory of single-mode single-material fibers," AEÜ, Arch. fur Elektron. und Uebertragungstech. Electron. und Commun. 30, 147–153 (1976).

Vandenbulcke, P.

Wilkinson, C. D. W.

Yasuura, K.

K. Yasuura and T. Miyamoto, "Numerical analysis on isotropic elastic waveguides by mode-matching method—I,II," IEEE Trans. Sonics Ultrason. SU-24, 359–375 (1977).

K. Yasuura, "Numerical analysis of thin-film fiber—Rayleigh principle in Fourier transform—," IOOC'77 A2–3, 25–28 (1977).

H. Ikuno and K. Yasuura, "Improved point-matching method with application to scattering from a periodic surface," IEEE Trans. Antennas Propag. AP-21, 657–662 (1973).

K. Yasuura, "A view of numerical method in diffraction problems," Progress in Radio Science 1966–1969, edited by W. V. Tilsten and M. Sauzade (URSI, Brussels, 1971) pp. 257–270.

AEÜ, Arch. fur Elektron. und Uebertragungstech. Electron. und Commun. (1)

K. Petermann, "Theory of single-mode single-material fibers," AEÜ, Arch. fur Elektron. und Uebertragungstech. Electron. und Commun. 30, 147–153 (1976).

Appl. Opt. (2)

Bell Syst. Tech. J. (1)

E. A. J. Marcatili, "Slab-coupled waveguides," Bell Syst. Tech. J. 53, 645–674 (1974).

IEEE Trans. Antennas Propag. (1)

H. Ikuno and K. Yasuura, "Improved point-matching method with application to scattering from a periodic surface," IEEE Trans. Antennas Propag. AP-21, 657–662 (1973).

IEEE Trans. Sonics Ultrason. (1)

K. Yasuura and T. Miyamoto, "Numerical analysis on isotropic elastic waveguides by mode-matching method—I,II," IEEE Trans. Sonics Ultrason. SU-24, 359–375 (1977).

IOOC'77 (1)

K. Yasuura, "Numerical analysis of thin-film fiber—Rayleigh principle in Fourier transform—," IOOC'77 A2–3, 25–28 (1977).

J. Ration. Mech. Anal. (1)

A. P. Calderón, "The multipole expansion of radiation fields," J. Ration. Mech. Anal. 3, 523–537 (1954).

Radio Sci. (1)

R. F. Millar, "The Rayleigh hypothesis and a related least-squares solution to scattering problem for periodic surfaces and other scatters," Radio Sci. 8, 785–796 (1973).

Trans. IECE Jpn (1)

Y. Miyazaki, "Optical Modes in Dielectric Thin Film Fiber with Convex Surface," Trans. IECE Jpn, 10, 1–6 (1976).

Other (1)

K. Yasuura, "A view of numerical method in diffraction problems," Progress in Radio Science 1966–1969, edited by W. V. Tilsten and M. Sauzade (URSI, Brussels, 1971) pp. 257–270.

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