Journal
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
Volume 61, Issue 7, Pages 3693-3700Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2013.2258317
Keywords
Helmholtz equation; integral equations; Nystrom method; scattering
Funding
- Swedish Research Council [621-2011-5516]
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In this paper, we consider the classic problem of scattering of waves from perfectly conducting cylinders with piecewise smooth boundaries. The scattering problems are formulated as integral equations and solved using a Nystrom scheme, where the corners of the cylinders are efficiently handled by a method referred to as recursively compressed inverse preconditioning (RCIP). This method has been very successful in treating static problems in nonsmooth domains and the present paper shows that it works equally well for the Helmholtz equation. In the numerical examples we focus on scattering of E- and H-waves from a cylinder with one corner. Even at a size kd = 1000, where k is the wavenumber and d the diameter, the scheme produces at least 13 digits of accuracy in the electric and magnetic fields everywhere outside the cylinder.
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