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Optical theorem and forward scattering sum rule for periodic structures

Publiceringsår: 2011
Språk: Engelska
Sidor: 17
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7213)/1-17/(2011)
Dokumenttyp: Rapport
Ytterligare information: Published version: IEEE Transactions on Antennas and Propagation, Vol. 60, No. 8, pp. 3818-3826, 2012.


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.



  • Electrical Engineering, Electronic Engineering, Information Engineering
  • sum rule
  • Herglotz function
  • Optical theorem
  • forward scattering
  • periodic structures
  • metamaterial


  • Electromagnetic theory

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