Abstract

A full-vector mode solver for bending waveguides is described based on the finite-difference frequency-domain method in a local cylindrical coordinate system in which the formulas are directly derived from Maxwell’s equations with the help of Yee’s mesh. The perfectly matched layer absorbing boundary conditions are incorporated into the present approach in order to effectively demonstrate the leaky nature of bending waveguides. A typical bending rib waveguide is considered as a numerical example to show the effectiveness of the established method.

© 2008 Optical Society of America

Vector analysis of bending waveguides by using a modified finite-difference method in a local cylindrical coordinate system

Jinbiao Xiao and Xiaohan Sun
Opt. Express 20(19) 21583-21597 (2012)

Full-vectorial finite element method in a cylindrical coordinate system for loss analysis of photonic wire bends

Kuniaki Kakihara, Naoya Kono, Kunimasa Saitoh, and Masanori Koshiba
Opt. Express 14(23) 11128-11141 (2006)

A finite-difference frequency-domain method for full-vectroial mode solutions of anisotropic optical waveguides with an arbitrary permittivity tensor

Ming-yun Chen, Sen-ming Hsu, and Hung-chun Chang
Opt. Express 17(8) 5965-5979 (2009)

Simulation of three-dimensional waveguide discontinuities by a full-vector mode-matching method based on finite-difference schemes

Jianwei Mu and Wei-Ping Huang
Opt. Express 16(22) 18152-18163 (2008)

Implementation of a finite difference frequency domain mode solver incorporating subpixel smoothing

Dimitrios Alexopoulos and Thomas Kamalakis
Appl. Opt. 61(33) 9817-9824 (2022)