Abstract

We examine the influence of the refractive index core profile on the modal scattering of abruptly terminated slab waveguides. The analysis is based on the integral equation method with accelerating parameters, while for the field description in the waveguide core, an appropriate Lanczos–Fourier expansion is employed. The electric-field distribution on the terminal plane, the reflection and transformation coefficient of the TE guided modes, and the far-field radiation pattern are computed. Numerical results are presented for slab waveguides with step, linear, and parabolic refractive index profiles of the core. Finally, several approximate analytical solutions are derived to study the problem in question and to explain the results obtained.

© 2007 Optical Society of America

Scattering from an abruptly terminated asymmetrical slab waveguide

I. G. Tigelis and A. B. Manenkov
J. Opt. Soc. Am. A 16(3) 523-532 (1999)

Reflectivity properties of an anisotropic slab waveguide with isolated substrate

Panagiotis G. Gerolymatos, Zisis C. Ioannidis, Ioannis G. Tigelis, Emmanouil N. Tzanetis, Alexander B. Manenkov, and Angelos J. Amditis
J. Opt. Soc. Am. A 24(2) 493-501 (2007)

Reflectivity properties of an abruptly ended asymmetrical slab waveguide for the case of transverse magnetic modes

G. Latsas, A. B. Manenkov, I. G. Tigelis, and E. Sarri
J. Opt. Soc. Am. A 17(1) 162-172 (2000)

Analysis of mode scattering from an abruptly ended dielectric slab waveguide by an accelerated iteration technique

Ioannis G. Tigelis and Alexander B. Manenkov
J. Opt. Soc. Am. A 17(12) 2249-2259 (2000)

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)