A high-accuracy pseudospectral full-vectorial leaky optical waveguide mode solver with carefully implemented UPML absorbing boundary conditions | Zendy

Po-Jui Chiang | Zendy; Hung-Chun Chang | Zendy

Open Access

A high-accuracy pseudospectral full-vectorial leaky optical waveguide mode solver with carefully implemented UPML absorbing boundary conditions

Author(s) -

Po-Jui Chiang,

Hung-Chun Chang

Publication year - 2011

Publication title -

optics express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.394

H-Index - 271

ISSN - 1094-4087

DOI - 10.1364/oe.19.001594

Subject(s) - perfectly matched layer , multipole expansion , optics , solver , waveguide , boundary value problem , reflection coefficient , refractive index , reflection (computer programming) , physics , leaky mode , attenuation coefficient , finite difference time domain method , mathematics , mathematical analysis , single mode optical fiber , optical fiber , radiation mode , computer science , mathematical optimization , quantum mechanics , programming language

The previously developed full-vectorial optical waveguide eigenmode solvers using pseudospectral frequency-domain (PSFD) formulations for optical waveguides with arbitrary step-index profile is further implemented with the uniaxial perfectly matched layer (UPML) absorption boundary conditions for treating leaky waveguides and calculating their complex modal effective indices. The role of the UPML reflection coefficient in achieving high-accuracy mode solution results is particularly investigated. A six-air-hole microstructured fiber is analyzed as an example to compare with published high-accuracy multipole method results for both the real and imaginary parts of the effective indices. It is shown that by setting the UPML reflection coefficient values as small as on the order of 10(-40) ∼ 10(-70), relative errors in the calculated complex effective indices can be as small as on the order of 10(-12).

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