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Optical theorem and forward scattering sum rule for periodic structures

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Author

Summary, in English

Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using analytic properties of Herglotz functions based on causality and passivity. The sum rule relates the extinction cross section to the static polarizability per unit cell, and quantifies the interaction between the slab and electromagnetic fields possible over all wavelengths. The results are illustrated with several numerical and experimental examples.

Publishing year

2011

Language

English

Publication/Series

Technical Report LUTEDX/(TEAT-7213)/1-17/(2011)

Document type

Report

Publisher

[Publisher information missing]

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Keywords

  • sum rule
  • Herglotz function
  • Optical theorem
  • forward scattering
  • periodic structures
  • metamaterial

Status

Published

Report number

TEAT-7213

Research group

  • Electromagnetic theory