Abstract

An integral-equation formulation is presented for the scattering (reflection, transmission, and radiation) of incident surface waves by a generally heterogeneous dielectric discontinuity located along an open-boundary dielectric waveguide of arbitrary cross-section shape. An equivalent-polarization description of the discontinuity region is proportional to the product of its electric field with the contrast of its refractive-index profile against that of the unperturbed waveguide. This equivalent polarization leads to an electric field integral equation that describes the unknown field induced in the discontinuity region. Scattering coefficients are subsequently calculated in terms of the induced electric field. Moment-method numerical solutions are implemented for slice discontinuities along a symmetric-slab waveguide.

© 1987 Optical Society of America

Analysis of longitudinal discontinuities in dielectric slab waveguides

P. G. Cottis and N. K. Uzunoglu
J. Opt. Soc. Am. A 1(2) 206-215 (1984)

Magnetic field integral equation analysis of surface plasmon scattering by rectangular dielectric channel discontinuities

Ioannis Chremmos
J. Opt. Soc. Am. A 27(1) 85-94 (2010)

Guiding mode expansion of a TE and TM transverse-mode integral equation for dielectric slab waveguides with an abrupt termination

Tso-Lun Wu and Hung-Wen Chang
J. Opt. Soc. Am. A 18(11) 2823-2832 (2001)

Orthogonality and amplitude spectrum of radiation modes along open-boundary waveguides

Dennis P. Nyquist, Dean R. Johnson, and S. Victor Hsu
J. Opt. Soc. Am. 71(1) 49-54 (1981)

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)