TY - JOUR

T1 - The theory of low-frequency wave physics revisited

AU - Venkov, G.

AU - McCall, M. W.

AU - Censor, D.

N1 - Funding Information:
The authors are grateful to Professor Iani Arnaoudov, Department of Applied Mathematics and Informatics, Technical University of Sofia, Sofia, Bulgaria, and to Professor Burak Polat, Department of Electronics Engineering, Uludag University, Bursa, Turkey, for long and inspiring discussions. The responsibility for any errors is of course entirely ours. The second author (M.W.M.) gratefully acknowledges the support of the Engineering and Physical Sciences Research Council, under grant no. GR/S68743.

PY - 2007/3/14

Y1 - 2007/3/14

N2 - The Stevenson approach to low-frequency time-harmonic wave scattering, that expanded the electric and magnetic fields in power series of k, essentially the inverse wavelength, is scrutinized. Stevenson's power series approach perforce implies a variable frequency ω, i.e., a variable wave-number k, an assumption challenged here. Presently the three major linear wave physics models: acoustics, electromagnetics, and elastodynamics, are put on an equal footing by introducing the self-consistent system concept. Accordingly any low-frequency series expansion starts with the pertinent Helmholtz equation. Far-field surface-integrals are derived for each case. To verify our approach, an example of low-frequency electromagnetic scattering by a long cylinder is elaborated, the results are compared to, and agree with the exact Hankel-Fourier series solution.

AB - The Stevenson approach to low-frequency time-harmonic wave scattering, that expanded the electric and magnetic fields in power series of k, essentially the inverse wavelength, is scrutinized. Stevenson's power series approach perforce implies a variable frequency ω, i.e., a variable wave-number k, an assumption challenged here. Presently the three major linear wave physics models: acoustics, electromagnetics, and elastodynamics, are put on an equal footing by introducing the self-consistent system concept. Accordingly any low-frequency series expansion starts with the pertinent Helmholtz equation. Far-field surface-integrals are derived for each case. To verify our approach, an example of low-frequency electromagnetic scattering by a long cylinder is elaborated, the results are compared to, and agree with the exact Hankel-Fourier series solution.

UR - http://www.scopus.com/inward/record.url?scp=33847744581&partnerID=8YFLogxK

U2 - 10.1163/156939307779378763

DO - 10.1163/156939307779378763

M3 - Article

AN - SCOPUS:33847744581

SN - 0920-5071

VL - 21

SP - 229

EP - 249

JO - Journal of Electromagnetic Waves and Applications

JF - Journal of Electromagnetic Waves and Applications

IS - 2

ER -