Full-vectorial mode analysis of rib waveguides by iterative Lanczos reduction

• Published in: IEEE journal of quantum electronics Vol. 29; no. 12; pp. 2859 - 2863
• Main Authors: Pao-Lo Liu, Li, B.J.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.12.1993; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Boundary conditions; Circuit properties; Computer simulation; Electric, optical and optoelectronic circuits; Electronics; Equations; Exact sciences and technology; Finite difference methods; Finite element methods; Integrated optics. Optical fibers and wave guides; Optical and optoelectronic circuits; Performance analysis; Photonic integrated circuits; Symmetric matrices; Transmission line matrix methods; Workstations; Integrated optics; Rib waveguide; Modal analysis; Theoretical study; Iterative method; Mode power distribution; Lanczos method; Finite element method; Channel waveguide; Numerical simulation; Optical waveguide; Computer aided design; Comparative study
• DOI: 10.1109/3.259398
• ISSN: 0018-9197

A highly efficient computer simulation code is developed to perform full-vectorial mode analysis of rib or channel waveguides. On a workstation, the mode profile and index can be calculated in 410 s if a 192*192 grid is used. The code is based on the iterative Lanczos reduction technique. Although the matrix representation of the transverse Helmholtz operator is slightly asymmetric in the vectorial mode analysis, the Lanczos reduction procedure can still converge to the eigenmode. Results for several rib waveguides are presented. They are compared to the results of the vectorial finite-element method and semivectorial analysis.< >