The theory of low-frequency wave physics revisited

G. Venkov, M. W. McCall, D. Censor

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)229-249
Number of pages21
JournalJournal of Electromagnetic Waves and Applications
Volume21
Issue number2
DOIs
StatePublished - 14 Mar 2007

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • General Physics and Astronomy
  • Electrical and Electronic Engineering

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