Dispersive effective material parameters for Maxwell's equations
Author
Summary, in English
We study how effective material parameters can be defined for
Maxwell's equations when taking dispersion into account. The
reasoning is based on the concept of dispersion relations, and is
consequently primarily concerned with lossless media. We essentially
require that the effective material parameters should produce the
same dispersion relations as the heterogeneous problem, which
implies the effective material is primarily connected to the phase
velocity of the waves. Material parameters which exhibit temporal
dispersion only, can be defined if the propagation direction is
fixed.
Maxwell's equations when taking dispersion into account. The
reasoning is based on the concept of dispersion relations, and is
consequently primarily concerned with lossless media. We essentially
require that the effective material parameters should produce the
same dispersion relations as the heterogeneous problem, which
implies the effective material is primarily connected to the phase
velocity of the waves. Material parameters which exhibit temporal
dispersion only, can be defined if the propagation direction is
fixed.
Publishing year
2006
Language
English
Publication/Series
Technical Report LUTEDX/(TEAT-7146)/1-14/(2006)
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Document type
Report
Publisher
[Publisher information missing]
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Report number
TEAT-7146
Research group
- Electromagnetic theory