4.7 Article

Scattering and Absorption of Waves by Flat Material Strips Analyzed Using Generalized Boundary Conditions and Nystrom-Type Algorithm

Journal

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
Volume 59, Issue 9, Pages 3339-3346

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2011.2161547

Keywords

Discrete mathematical model; generalized two-side boundary conditions; scattering cross-sections; singular and hyper-singular integral equations; strip scatterer

Funding

  1. National Academy of Sciences of Ukraine
  2. State Committee for Science, Ukraine [M/146-2009]
  3. European Science Foundation
  4. IEEE Antennas and Propagation Society

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The scattering of the H- and E-polarized plane waves by a thin flat homogeneous magneto-dielectric strip is considered. Assuming the strip to be thinner than the wavelength, we shrink its cross-section to the median line where the generalized boundary conditions are imposed. The numerical solution is built on two singular integral equations discretized using Nystrom-type numerical algorithm. The obtained results demonstrate fast convergence and good agreement with data known for the limiting values of the strip parameters. This opens a way to the accurate numerical analysis of various striplike configurations simulating natural objects and electromagnetic circuit components, both in traditional microwave applications and nanophotonics.

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