Abstract

A unified high-accuracy mode solver is proposed to compute the modes of planar optical waveguides. The advantage of this solver is composed of three aspects. The first is the high accuracy of mapped barycentric rational Chebyshev differentiation matrix (MBRCDM) for approximating differential operator. The second is the high efficiency of multidirectional Newton iteration for root finding on complex plane. The third is the outstanding performance of perfectly matched layer (PML) as an absorbing boundary condition (BC). Specifically, MBRCDM method is accurate enough to compute as many modes as necessary for waveguides bounded with regular Robin BCs. MBRCDM-PML method, where PML is used to truncate an unbounded waveguide followed by the MBRCDM method, performs very well. MBRCDM-Newton method, where multidirectional Newton iteration for a dispersion equation is implemented with some initial values obtained by MBRCDM method, is more efficient. By this combined solver, a large number of accurate modes can be easily calculated. This solver is particularly essential for the computing of high index modes.

© 2010 IEEE

Adaptive mode solver for varying refractive index profile’s waveguides with modified spectral element method

Jianxin Zhu and Hao Yang
J. Opt. Soc. Am. B 34(3) 538-545 (2017)

Efficient rational Chebyshev pseudo-spectral method with domain decomposition for optical waveguides modal analysis

Amgad Abdrabou, A. M. Heikal, and S. S. A. Obayya
Opt. Express 24(10) 10495-10511 (2016)

Full-vectorial modal analysis for circular optical waveguides based on the multidomain Chebyshev pseudospectral method

Rencheng Song, Jianxin Zhu, and Xuecang Zhang
J. Opt. Soc. Am. B 27(9) 1722-1730 (2010)

Dispersion relations of the modes for open nonhomogeneous waveguides terminated by perfectly matched layers

Jianxin Zhu, Zheqi Shen, and Zengsi Chen
J. Opt. Soc. Am. B 29(9) 2524-2530 (2012)

Pseudospectral mode solver for analyzing nonlinear optical waveguides

Chia-Chien Huang
Opt. Express 20(12) 13014-13029 (2012)