RADIATION BOUNDARY CONDITIONS FOR MAXWELL'S EQUATIONS: A REVIEW OF ACCURATE TIME-DOMAIN FORMULATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Maxwell's equations Radiation boundary conditions Fast algorithms Kirchoff formulas Perfectly matched layers
• 年，卷（期）: 2007,（3）
• 页码范围: 305-336
• 页数: 32页
• 语种: 英文

摘要

We review time-domain formulations of radiation boundary conditions for Maxwell's equations, focusing on methods which can deliver arbitrary accuracy at acceptable computational cost. Examples include fast evaluations of nonlocal conditions on symmetric and general boundaries, methods based on identifying and evaluating equivalent sources, and local approximations such as the perfectly matched layer and sequences of local boundary conditions. Complexity estimates are derived to assess work and storage requirements as a function of wavelength and simulation time.