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Physical limitations on the scattering of electromagnetic vector spherical waves

Författare

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.

Publiceringsår

2010

Språk

Engelska

Publikation/Tidskrift/Serie

Technical Report LUTEDX/(TEAT-7194)/1-24/(2010)

Dokumenttyp

Rapport

Förlag

[Publisher information missing]

Ämne

  • Electrical Engineering, Electronic Engineering, Information Engineering

Nyckelord

  • physical limitations
  • sum rules
  • vector spherical waves
  • scattering
  • Herglotz functions

Status

Published

Projekt

  • EIT_HSWC:Antenna MIMO antennas and channels

Report number

TEAT-7194

Forskningsgrupp

  • Electromagnetic theory