Optical theorem and forward scattering sum rule for periodic structures
(2011) In Technical Report LUTEDX/(TEAT-7213)/1-17/(2011)- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2222391
- author
- Gustafsson, Mats LU ; Vakili, Iman LU ; Bayer Keskin, Sena Esen LU ; Sjöberg, Daniel LU and Larsson, Christer LU
- organization
- publishing date
- 2011
- type
- Book/Report
- publication status
- published
- subject
- keywords
- sum rule, Herglotz function, Optical theorem, forward scattering, periodic structures, metamaterial
- in
- Technical Report LUTEDX/(TEAT-7213)/1-17/(2011)
- pages
- 17 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7213
- language
- English
- LU publication?
- yes
- additional info
- Published version: IEEE Transactions on Antennas and Propagation, Vol. 60, No. 8, pp. 3818-3826, 2012.
- id
- 39739dc8-4b9c-4e8d-87b9-7db289e01fd0 (old id 2222391)
- date added to LUP
- 2016-04-04 14:17:25
- date last changed
- 2018-11-21 21:19:27
@techreport{39739dc8-4b9c-4e8d-87b9-7db289e01fd0, abstract = {{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.}}, author = {{Gustafsson, Mats and Vakili, Iman and Bayer Keskin, Sena Esen and Sjöberg, Daniel and Larsson, Christer}}, institution = {{[Publisher information missing]}}, keywords = {{sum rule; Herglotz function; Optical theorem; forward scattering; periodic structures; metamaterial}}, language = {{eng}}, number = {{TEAT-7213}}, series = {{Technical Report LUTEDX/(TEAT-7213)/1-17/(2011)}}, title = {{Optical theorem and forward scattering sum rule for periodic structures}}, url = {{https://lup.lub.lu.se/search/files/6325837/2222392.pdf}}, year = {{2011}}, }