(25) * << * >> * Russian * English * Content * All Issues

Calculation of the spatial optical waveguide modes with inhomogeneous cross-sections using the sinusoidal mode matching method

V.V. Kotlyar1,2, Y.O. Shuyupova2
1Image Processing Systems Institute of RAS
2Samara State Aerospace University

 PDF, 12 kB

Pages: 41-48.

Abstract:
This paper proposes some improvement of the method of matched sinusoidal modes, based on the application of the matrix form of the characteristic equation. The method was implemented using the Matlab 6.0 software package and applied to the scalar theory analysis of eigenmodes of a waveguide produced in the form of a photonic crystal.

Keywords:
optical waveguide, cross-section, sinusoidal matching method, matrix, Matlab 6.0, scalar theory, photonic crystal.

Citation:
Kotlyar V.V., Shuyupova Y.O. Calculation of the spatial optical waveguide modes with inhomogeneous cross-sections using the sinusoidal mode matching method. Computer Optics 2003; 25: 41-48.

References:

  1. Itoh T. Numerical technique for microwave and millimeter-wave passive structures. New York: Wiley; 1988.
  2. Sudbo AS. Film mode matching: a versatile method for mode film calculations in dielectric waveguides. Pure Appl Opt 1993; 2: 211-233.
  3. Sudbo AS. Improved formulation of the film mode matching method for mode film calculations in dielectric waveguides. Pure Appl Opt 1994; 3: 381-388.
  4. Rogge U, Pregla R. Method of lines for the analysis of dielectric waveguides. J Light Technol 1993; 11: 2015-2020.
  5. Sztefka G, Nogling HP. Bidirectional eigenmode propagation for large refractive index steps. IEEE Photon Technol Lett 1993; 5: 554-557.
  6. Rahman BMA, Davies JB. Finite-Elements Solution of integrated optical waveguides. J Light Technol 1984; 2: 682-687.
  7. Koshiba M, Maruyama S, Hirayama K. A vector finite element method with the high-order mixedinterpolation-type triangular elements for optical waveguiding problems. J Light Technol 1994; 12(3): 495-502.
  8. Lusse P, Stuwe P, Schule J, Unger H. Analysis of vectorial mode fields in optical waveguides by a new finite difference method. J Lighh Technol 1994; 12(3): 487-493.
  9. Hadley GR, Smith RE. Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions. J Lighh Technol 1995; 13(3): 465-469.
  10. Lin P-L, Li B-J. Semivectorial Helmholtz beam propagations by Lanczos reduction. IEEE J Quant Electron 1993; 29(8): 2385-2389.
  11. Lee P-C, Voges E. Three dimensional semivectorial wide-angle beam propagation method. J Lighh Technol 1994; 12(2): 215-224.

© 2009, IPSI RAS
151, Molodogvardeiskaya str., Samara, 443001, Russia; E-mail: ko@smr.ru ; Tel: +7 (846) 242-41-24 (Executive secretary), +7 (846) 332-56-22 (Issuing editor), Fax: +7 (846) 332-56-20