TY - JOUR

T1 - High-order solutions of three-dimensional rough-surface scattering problems at high-frequencies. Part II

T2 - The vector electromagnetic case

AU - Reitich, F.

AU - Turc, C.

N1 - Funding Information:
Fernando Reitich gratefully acknowledges support from the Air Force Office of Scientific Research (AFOSR) through contract No. FA9550-05-1-0019, from the Natural Science Foundation (NSF) through grant No. DMS-0311763, and from the Army High Performance Computing Research Center (AHPCRC) under Army Research Laboratory cooperative agreement number DAAD19-01-2-0014.
Funding Information:
Effort sponsored by the Air Force Office of Scientific Research, Air Force Materials Command, USAF, under grant number FA9550-05-1-0019, and by AHPCRC under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement number DAAD19-01-2-0014. The US Government is authorized to reproduce and distribute reprints for governmental purposes notwithstanding any copyright notation thereon. The views and conclusions contained herein are those of the author and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research, the Army Research Laboratory or the US Government.

PY - 2005/8

Y1 - 2005/8

N2 - We introduce a new numerical scheme for three-dimensional electromagnetic rough-surface scattering simulations with the capability of delivering very accurate results from low to high frequencies at a cost that is independent of the wavelength of radiation. The method is an extension of the ideas and techniques introduced in the first paper of this series (Waves in Random and Complex Media, 15 (2005), pp. 1-16) to the vector electromagnetic case, and it is based on the solution of an integral equation formulation of the scattering problem. As in the scalar case, the solution of the integral equation (i.e. the current) is expressed as a slow modulation of an oscillatory exponential of known phase, and explicit recursive formulae are derived for the successive terms in a series expansion of the slow envelope in inverse powers of the wavenumber. As we show, and in spite of the considerably more involved nature of the derivations and resulting formulae, the performance of the method retains the favourable characteristics that were demonstrated in the treatment of acoustic scattering problems. In particular, results with full double-precision accuracy are presented for various geometries, incidences and polarizations.

AB - We introduce a new numerical scheme for three-dimensional electromagnetic rough-surface scattering simulations with the capability of delivering very accurate results from low to high frequencies at a cost that is independent of the wavelength of radiation. The method is an extension of the ideas and techniques introduced in the first paper of this series (Waves in Random and Complex Media, 15 (2005), pp. 1-16) to the vector electromagnetic case, and it is based on the solution of an integral equation formulation of the scattering problem. As in the scalar case, the solution of the integral equation (i.e. the current) is expressed as a slow modulation of an oscillatory exponential of known phase, and explicit recursive formulae are derived for the successive terms in a series expansion of the slow envelope in inverse powers of the wavenumber. As we show, and in spite of the considerably more involved nature of the derivations and resulting formulae, the performance of the method retains the favourable characteristics that were demonstrated in the treatment of acoustic scattering problems. In particular, results with full double-precision accuracy are presented for various geometries, incidences and polarizations.

UR - http://www.scopus.com/inward/record.url?scp=33744965260&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744965260&partnerID=8YFLogxK

U2 - 10.1080/17455030500284121

DO - 10.1080/17455030500284121

M3 - Article

AN - SCOPUS:33744965260

SN - 1745-5030

VL - 15

SP - 323

EP - 337

JO - Waves in Random and Complex Media

JF - Waves in Random and Complex Media

IS - 3

ER -