Exact transparent boundary conditions for the parabolic wave equations with linear and quadratic potentials

DOI10.1016/J.WAVEMOTI.2016.10.003OpenAlexW2533533075MaRDI QIDQ2186242

Yanyan Li

Publication date: 9 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08967

zbMATH Keywords

Laplace transformparabolic equationboundary conditionbent waveguide

Mathematics Subject Classification ID

Partial differential equations (35-XX) Optics, electromagnetic theory (78-XX)

Cites Work

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• A perfectly matched layer for the absorption of electromagnetic waves
• Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation.
• Solutions to the discrete Airy equation: application to parabolic equation calculations
• A comparison of transparent boundary conditions for the Fresnel equation
• Implementation of transparent boundaries for numerical solution of the Schröder equation.

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