Maxwell’s Equations, Potentials, and Physical/Artificial Boundary Conditions

Wei Cai ()
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Wei Cai: Southern Methodist University, Department of Mathematics

Chapter Chapter 8 in Deterministic, Stochastic, and Deep Learning Methods for Computational Electromagnetics, 2025, pp 221-250 from Springer

Abstract: Abstract In this chapter, we will first introduce the time-dependent Maxwell’s equations and solution representations using scalar and vector potentials. Then, physical boundary conditions involving interfaces between dielectrics and conductors will be discussed. For computing scattering fields in infinite domains, several types of local artificial boundary conditions for computational domains will be presented, including the Engquist–Majda one-way boundary conditions, the high-order Bayliss–Turkel boundary conditions in auxiliary variable forms, and the uniaxial perfectly matched layered (UPML) boundary conditions.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-96-0100-4_8

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DOI: 10.1007/978-981-96-0100-4_8

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