Stability analysis of Cartesian, cylindrical and spherical perfectly matched layers

F. L. Teixeira, W. C. Chew

Research output: Contribution to conferencePaper

Abstract

The analytic continuation of Maxwell's equations to complex space is a powerful tool to achieve the reflectionless absorption of electromagnetic waves in coordinate systems. Some limitations of this approach are presented particularly, that the analytic continuation should preserve the connection between the violation of causality and the dynamical instability of the resultant time-domain scheme. The Cartesian perfectly matched layer (PML) does not violate causality with the frequency dependence. The complex-space formulation of concave PML in cylindrical and spherical coordinates preserves the analyticity of the solutions on the upper-half plane. The convex PML violates causality resulting on an unstable finite-difference time-domain (FDTD) method.

Original languageEnglish (US)
Pages507-514
Number of pages8
StatePublished - Jan 1 1998
EventProceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2) - Monterey, CA, USA
Duration: Mar 16 1998Mar 20 1998

Other

OtherProceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2)
CityMonterey, CA, USA
Period3/16/983/20/98

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Teixeira, F. L., & Chew, W. C. (1998). Stability analysis of Cartesian, cylindrical and spherical perfectly matched layers. 507-514. Paper presented at Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2), Monterey, CA, USA, .