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Title: Absorbing boundary condition (ABC) and perfectly matched layer (PML) in numerical beam propagation: a comparison

Abstract

The absorbing boundary condition (ABC) and the perfectly matched layer (PML) are employed to suppress the numerical reflections in wave propagation methods. The PML has earlier been shown to fail at the grazing angle propagation of beam. The ABC is preferred over the PML where refractive index is not an analytic function. We have explored the performance of the ABC in reflection-less absorption of non-paraxial propagation of beams and have compared it against the PML. We have considered an example of the propagation of Gaussian beams through a homogeneous medium terminated with ABC or PML. We have used the collocation method for propagation. We have found that both the boundary conditions are comparable in performance. The ABC performed relatively better than the PML for beams at smaller angles. However, the performance of the PML is better than that of the ABC at larger tilt angles.

Authors:
;  [1]
  1. Indian Institute of Technology Delhi, Department of Physics (India)
Publication Date:
OSTI Identifier:
22950391
Resource Type:
Journal Article
Journal Name:
Optical and Quantum Electronics
Additional Journal Information:
Journal Volume: 51; Journal Issue: 2; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0306-8919
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION; ANALYTIC FUNCTIONS; BEAMS; BOUNDARY CONDITIONS; COMPARATIVE EVALUATIONS; LAYERS; PERFORMANCE; REFLECTION; REFRACTIVE INDEX; WAVE PROPAGATION

Citation Formats

Kumar, Ramesh, and Sharma, Anurag. Absorbing boundary condition (ABC) and perfectly matched layer (PML) in numerical beam propagation: a comparison. United States: N. p., 2019. Web. doi:10.1007/S11082-019-1770-7.
Kumar, Ramesh, & Sharma, Anurag. Absorbing boundary condition (ABC) and perfectly matched layer (PML) in numerical beam propagation: a comparison. United States. https://doi.org/10.1007/S11082-019-1770-7
Kumar, Ramesh, and Sharma, Anurag. 2019. "Absorbing boundary condition (ABC) and perfectly matched layer (PML) in numerical beam propagation: a comparison". United States. https://doi.org/10.1007/S11082-019-1770-7.
@article{osti_22950391,
title = {Absorbing boundary condition (ABC) and perfectly matched layer (PML) in numerical beam propagation: a comparison},
author = {Kumar, Ramesh and Sharma, Anurag},
abstractNote = {The absorbing boundary condition (ABC) and the perfectly matched layer (PML) are employed to suppress the numerical reflections in wave propagation methods. The PML has earlier been shown to fail at the grazing angle propagation of beam. The ABC is preferred over the PML where refractive index is not an analytic function. We have explored the performance of the ABC in reflection-less absorption of non-paraxial propagation of beams and have compared it against the PML. We have considered an example of the propagation of Gaussian beams through a homogeneous medium terminated with ABC or PML. We have used the collocation method for propagation. We have found that both the boundary conditions are comparable in performance. The ABC performed relatively better than the PML for beams at smaller angles. However, the performance of the PML is better than that of the ABC at larger tilt angles.},
doi = {10.1007/S11082-019-1770-7},
url = {https://www.osti.gov/biblio/22950391}, journal = {Optical and Quantum Electronics},
issn = {0306-8919},
number = 2,
volume = 51,
place = {United States},
year = {2019},
month = {2}
}