Abstract

We propose a rigorous transverse-mode integral equation formulation for analyzing TE and TM electromagnetic radiation fields on the facet of dielectric slab waveguides with an abrupt termination in free space. Both exact waveguide guiding modes and discretized radiation modes are included in the kernels of the integral equation. To reduce the size of the matrix that approximates the exact integral equation, we expand the unknown field at the junctions in terms of guiding modes of a selected waveguide with sufficiently large normalized frequency and core thickness. By direct matrix inversion, we obtain numerical solutions of the scattered fields at the junctions. Our method can be used to study the field distribution as well as the energy reflection and transmission coefficients of dielectric waveguides with multiple step discontinuities.

© 2001 Optical Society of America

Scattering of the transverse magnetic modes from an abruptly ended strongly asymmetrical slab waveguide by an accelerated integral equation technique

Alexander B. Manenkov, George P. Latsas, and Ioannis G. Tigelis
J. Opt. Soc. Am. A 18(12) 3110-3118 (2001)

Vectorial modal analysis of dielectric waveguides based on a coupled transverse-mode integral equation. II. Numerical analysis

Hung-Wen Chang and Tso-Lun Wu
J. Opt. Soc. Am. A 23(6) 1478-1487 (2006)

Numerical simulation of an arbitrarily ended asymmetrical slab waveguide by guided-mode extracted integral equations

Dao Ngoc Chien, Masahiro Tanaka, and Kazuo Tanaka
J. Opt. Soc. Am. A 19(8) 1649-1657 (2002)

Vectorial modal analysis of dielectric waveguides based on a coupled transverse-mode integral equation. I. Mathematical formulation

Hung-Wen Chang, Tso-Lun Wu, and Meng-Huei Sheng
J. Opt. Soc. Am. A 23(6) 1468-1477 (2006)

Reflectivity of buried slab waveguides

Panagiotis G. Gerolymatos, Alexander B. Manenkov, Ioannis G. Tigelis, and Angelos J. Amditis
J. Opt. Soc. Am. A 21(10) 2009-2018 (2004)