Parameters affecting the performance of a perfectly matched layer for beam propagation methods

Anurag Sharma; Arti Agrawal

doi:10.1117/12.528179

18 June 2004 Parameters affecting the performance of a perfectly matched layer for beam propagation methods

Anurag Sharma, Arti Agrawal

Proceedings Volume 5349, Physics and Simulation of Optoelectronic Devices XII; (2004) https://doi.org/10.1117/12.528179
Event: Integrated Optoelectronic Devices 2004, 2004, San Jose, CA, United States

Abstract

In numerical wave propagation methods, the perfectly matched layer (PML) boundary condition is employed to prevent spurious reflections. However, PML takes additional resources in number of computation points and time. In this study, the PML performance is examined with change in the distribution of sampling points and PML absorption profile with a view to optimizing its efficiency. We have used the collocation method in our examples. We have found that equally spaced field sampling points give better absorption of beams under both optimal as well as non-optimal conditions for lower PML widths. While at higher PML widths, unequally spaced basis points may be more advantageous. The behavior of different absorption profiles varies with point spacing. For numerical tests, Gaussian beam propagation in a homogeneous medium is considered. Comparing different profiles, we find that a new profile sin^p with p=4 and quartic profiles are best in equally spaced points, sin² and square profiles are best in unequally spaced points.

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Anurag Sharma and Arti Agrawal "Parameters affecting the performance of a perfectly matched layer for beam propagation methods", Proc. SPIE 5349, Physics and Simulation of Optoelectronic Devices XII, (18 June 2004); https://doi.org/10.1117/12.528179

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