Fundamental relation between phase and group velocity, and application to the failure of perfectly matched layers in backward-wave structures
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Loh-2009-Fundamental relation.pdf
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Author(s)
Loh, Po-Ru
Oskooi, Ardavan
Ibanescu, Mihai
Skorobogatiy, Maksim
Johnson, Steven G.
Date Issued
June 2009
Journal
Physical Review E
Publisher
American Physical Society
Citation
Loh, Po-Ru et al. “Fundamental relation between phase and group velocity, and application to the failure of perfectly matched layers in backward-wave structures.” Physical Review E 79.6 (2009): 065601. © 2009 The American Physical Society.
Version
Final published version
Abstract
We demonstrate that the ratio of group to phase velocity has a simple relationship to the orientation of the electromagnetic field. In nondispersive materials, opposite group and phase velocity corresponds to fields that are mostly oriented in the propagation direction. More generally, this relationship (including the case of dispersive and negative-index materials) offers a perspective on the phenomena of backward waves and left-handed media. As an application of this relationship, we demonstrate and explain an irrecoverable failure of perfectly matched layer absorbing boundaries in computer simulations for constant cross-section waveguides with backward-wave modes and suggest an alternative in the form of adiabatic isotropic absorbers.
MIT Department
Massachusetts Institute of Technology. Department of Materials Science and Engineering
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevE.79.065601
