Optical Theorem and Forward Scattering Sum Rule for Periodic Structures


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Gustafsson M., Vakili I., Keskin S. E. B. , Sjoberg D., Larsson C.

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, cilt.60, ss.3818-3826, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 60 Konu: 8
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1109/tap.2012.2201113
  • Dergi Adı: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
  • Sayfa Sayıları: ss.3818-3826

Özet

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 total 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.