Physical limitations on the scattering of electromagnetic vector spherical waves
Author
Summary, in English
Understanding the interaction between electromagnetic waves and matter is vital in applications ranging from classical optics to antenna theory.
This paper derives physical limitations on the scattering of electromagnetic vector spherical waves.
The assumptions made are that the heterogeneous scatterer is passive, and has constitutive relations which are on convolution form in the time domain and anisotropic in the static limit.
The resulting bounds
limit the reflection coefficient of the modes over a frequency interval,
and can thus be interpreted as limitations on the absorption of power from a single mode.
They can be used within a wide range of applications, and are particularly useful for electrically small scatterers.
The derivation follows a general approach to derive sum rules and physical limitations on passive systems on convolution form.
The time domain versions of the vector spherical waves are used to describe the passivity of the scatterer, and
a set of integral identities for Herglotz functions are applied to derive sum rules from which the physical limitations follow.
This paper derives physical limitations on the scattering of electromagnetic vector spherical waves.
The assumptions made are that the heterogeneous scatterer is passive, and has constitutive relations which are on convolution form in the time domain and anisotropic in the static limit.
The resulting bounds
limit the reflection coefficient of the modes over a frequency interval,
and can thus be interpreted as limitations on the absorption of power from a single mode.
They can be used within a wide range of applications, and are particularly useful for electrically small scatterers.
The derivation follows a general approach to derive sum rules and physical limitations on passive systems on convolution form.
The time domain versions of the vector spherical waves are used to describe the passivity of the scatterer, and
a set of integral identities for Herglotz functions are applied to derive sum rules from which the physical limitations follow.
Publishing year
2010
Language
English
Publication/Series
Technical Report LUTEDX/(TEAT-7194)/1-24/(2010)
Full text
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Document type
Report
Publisher
[Publisher information missing]
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
Keywords
- physical limitations
- sum rules
- vector spherical waves
- scattering
- Herglotz functions
Status
Published
Project
- EIT_HSWC:Antenna MIMO antennas and channels
Report number
TEAT-7194
Research group
- Electromagnetic theory