Determination of guided modes in multilayer dielectric waveguides

Authors

  • A.G. Rzhanov
  • S.E. Grigas

Keywords:

multilayer waveguides
mathematical simulation
guided modes
finite difference method

Abstract

An efficient numerical method is proposed to determine the guided modes in multilayer waveguides. The method is of high computational efficiency due to the determination of a good initial approximation at the first stage of computations. Some numerical results are discussed for several guiding structures and are compared with data obtained by other authors.

New computational technologies

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Published

2020-11-10

Issue

Vol. 10 (2009): Issue 2.

Section

Section 1. Numerical methods and applications

Author Biographies

A.G. Rzhanov

Lomonosov Moscow State University,
Faculty of Physics
• Senior Lecturer

S.E. Grigas

Lomonosov Moscow State University,
Faculty of Physics
• Student

References

  1. Baba T., Kokubun Y. Dispersion and radiation loss characteristics of antiresonant reflecting optical waveguides-numerical results and analytical expressions // J. Quantum Electronics. 1992. 28, N 7. 1689-1700.
  2. Anemogiannis E., Glytsis E.N., Gaylord Т.К. Determination of guided and leaky modes in lossless and lossy planar multilayer optical waveguides: reflection pole method and wavevector density method // J. Lightwave Technol. 1999. 17, N 5. 929-941.
  3. Smith R., Houde-Walter S., Forbes G. Mode determination for planar waveguides using the four-sheeted dispersion relation // J. Quantum Electronics. 1992. 28, N 6. 1520-1526.
  4. Schlereth K.-H., Tacke M. The complex propagation constant of multilayer waveguides: an algorithm for a personal computer // J. Quantum Electronics. 1990. 26, N 4. 627-630.
  5. Elkin N., Napartovich A., Troshchieva V., Vysotsky D., Lee T.-W., Hagness S., Kim N.-H., Bao L., Mawst L. Antiresonant reflecting optical waveguide-type vertical-cavity surface emitting lasers: comparison of full-vector finite-difference time-domain and 3-D bidirectional beam propagation methods // J. Lightwave Technol. 2006. 24, N 4. 1834-1842.
  6. Калиткин Н.Н. Численные методы. М.: Наука, 1978.
  7. Ржанов А.Г., Григас С.Э. Моделирование многослойных структур мощных полупроводниковых лазеров // Лазерная и оптико-электронная техника. Вып. 11. Минск.: Акад. Упр. при Президенте Респ. Беларусь, 2008. 200-206.
  8. Волноводная оптоэлектроника / Под ред. Тамира Т. М.: Мир, 1991.
  9. Anemogiannis E., Glytsis E.N. Multilayer waveguides: efficient numerical analysis of general structures // J. Lightwave Technol. 1992. 10, N 10. 1344-1351.
  10. Ghatak А.К., Thyagarajan К., Shenoy M.R. Numerical analysis of planar optical waveguides using matrix approach // J. Lightwave Technol. 1987. 5, N 5. 660-667.
  11. Gedeon A. Comparison between rigorous theory and WKB analysis of modes in graded-index waveguides // Opt. Commun. 1974. 12, N 3. 329-332.