Premium
Unconditionally stable perfectly matched layer boundary conditions
Author(s) -
De Raedt H.,
Michielsen K.
Publication year - 2007
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200743148
Subject(s) - construct (python library) , perfectly matched layer , boundary (topology) , scheme (mathematics) , point (geometry) , plane (geometry) , layer (electronics) , boundary value problem , maxwell's equations , product (mathematics) , current (fluid) , mathematics , computer science , mathematical analysis , physics , geometry , materials science , programming language , composite material , thermodynamics
A brief review is given of a systematic, product‐formula based approach to construct unconditionally stable algorithms for solving the time‐dependent Maxwell equations. The fundamental difficulties that arise when we want to incorporate uniaxial perfectly matched layer boundary conditions into this scheme is discussed. We construct an algorithm that circumvents these difficulties and is unconditionally stable. Results of simulations for a point source and a plane current source inside a three‐dimensional volume illustrate that in practice, the algorithm performs as theoretically expected. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)