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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 2 — Feb. 1, 1980
  • pp: 183–191

Numerical analysis of a thin-film waveguide by mode-matching method

Kamenosuke Yasuura, Katsunori Shimohara, and Tokuo Miyamoto  »View Author Affiliations

JOSA, Vol. 70, Issue 2, pp. 183-191 (1980)

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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

Kamenosuke Yasuura, Katsunori Shimohara, and Tokuo Miyamoto, "Numerical analysis of a thin-film waveguide by mode-matching method," J. Opt. Soc. Am. 70, 183-191 (1980)

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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).

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