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Two‐dimensional transverse magnetic scattering using an exact surface admittance operator
Author(s) -
Rogier Hendrik,
De Zutter Daniël,
Knockaert Luc
Publication year - 2007
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2006rs003516
Subject(s) - admittance , scattering , integral equation , operator (biology) , surface (topology) , electrical conductor , transverse plane , physics , perfect conductor , mathematical analysis , electrical impedance , optics , computational physics , mathematics , geometry , quantum mechanics , engineering , biochemistry , chemistry , repressor , transcription factor , gene , structural engineering
This paper presents a new approach to solve two‐dimensional transverse magnetic (TM) scattering problems involving homogeneous penetrable scatterers. The scatterers can be replaced by equivalent electric surface currents provided a proper surface admittance operator is introduced relating those currents to the electric fields on the scatterer's surface. The surface operator for a scatterer with rectangular cross section can be determined analytically. The paper emphasizes that the proposed technique remains valid in a complex scattering environment and in the presence of both conducting and nonconducting scatterers. The new method allows for a considerable gain in CPU time and memory requirements and remains very accurate even in the presence of very good conductors and this from the DC regime to the high‐frequency skin effect regime. Scattering of a plane wave by a periodic arrangement of rectangles or crosses embedded in a dielectric slab is used to illustrate the use of the surface admittance operator in conjunction with an integral equation method.