Simulation of waveguide modes in multilayer structures
T. S. Strilets, V. V. Kotlyar, A.G. Nalimov

Image Processing Systems Institute, Russian Academy of Sciences,

Samara State Aerospace University

Full text of article: Russian language.

Abstract:
In the present work, algorithm based on transverse transmission/reflection method (TTR) has been developed for calculation of propagation constants of leaky modes in multilayer planar structure. We present simulation results and give a comparison of the propagation constants of leaky modes in the ARROW structure obtained by this method with known constants from the literature. We also present the calculated profiles of some leaky modes.

Key words:
multilayer structure, transverse transmission/reflection method, transfer matrix, propagation constant, mode profile.

References:

  1. Lin, C. Attenuation and mode profile determination of leaky/lossy modes in multilayer planar waveguides by a coupling simulation method / C. Lin, T. Gaylord // J. Appl.Opt. – 2009. – Vol. 19. – P. 3603-3613.
  2. Marcuvitz, N. On field representations in terms of leaky modes or eigenmodes / N. Marcuvitz // IRE Trans. Antennas Propag. – 1956. – Vol. 4. – P. 192-194.
  3. Tamir, T. Variety of leaky waves and their excitation along multilayered structures / T. Tamir, F.Y. Kou // J. Quantum Electron. – 1986. – Vol. 22. – P. 544-551.
  4. Anemogiannis, E. Multilayer waveguide: efficient numerical analysis of general structures / E. Anemogiannis, E.N. Glytsis // J. Lightwave Technol. – 1992. – Vol. 10. – P. 1344-1351.
  5. Smith, R.E. Leaky guiding in nontransparent waveguides / R.E. Smith, S.N. Houde-Walter // J. Opt. Soc. Am. A. – 1995. – Vol. 12. – P. 715-724.
  6. Anemogiannis, E. Efficient solution of eigenvalue equations of optical waveguiding structures / E. Anemogiannis, E.N. Glytsis, T.K. Gaylord // J. Lightwave Technol. – 1994. – Vol. 12. – P. 2080-2084.
  7. Koshiba, M. Finite-element solution of planar arbitrarily anisotropic diffused optical waveguide / M. Koshiba, H. Kumagami, M. Suzuki // J. Lightwave Technol. – 1985. – Vol. 3. – P. 773-778.
  8. Ghatak, A.K. Numerical analysis of planar optical wave­guides using matrix approach / A.K. Ghatak, K. Thyagarajan, M.R. Shenoy // J. Lightwave Technol. – 1987. – Vol. 5. – P. 660-667.
  9. Snyder, A.W. Optical Waveguide Theory / A.W. Snyder, J.D. Love. – Chapman, Hall, 1983.
  10. Ulrich, R. Theory of prism-film coupler by plane-wave analysis / R. Ulrich // J. Opt. Soc. Am. – 1970. – Vol. 60. – P. 1337-1350.
  11. Azzam, R.M. Ellipsometry and Polarized Light / R.M. Az­zam, N.M. Bashara. – Elsevier, 1977.
  12. Kalitkin, N.N. Numerical methods: institute tutorial / N.N. Kalitkin – Moscow: “Science” Publisher, 1978. – 512 p. – (in Russian).
  13. Kersten, R.T. The prism-film coupler as a precision instrument Part I. Accuracy and capabilities of prism coupler as instruments / R.T. Kersten // J. Opt. Acta. – 1975. – Vol. 22. – P. 503-513.
  14. Baba, T. Dispersion and radiation loss characteristics of antiresonant reflecting optical waveguides —numerical results and analytical expressions / T. Baba, Y. Kokubun // IEEE J. Quant. Electron. – 1992. – Vol. 28. – P. 1689-1700.

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