The perturbation of electromagnetic fields at distances that are large compared with the object's size

Ledger, Paul D; Lionheart, William R B

Abstract

We rigorously derive the leading-order terms in asymptotic expansions for the scattered electric and magnetic fields in the presence of a small object at distances that are large compared with its size. Our expansions hold for fixed wavenumber when the scatterer is a (lossy) homogeneous dielectric object with constant material parameters or a perfect conductor. We also derive the corresponding leading-order terms in expansions for the fields for a low-frequency problem when the scatterer is a non-lossy homogeneous dielectric object with constant material parameters or a perfect conductor. In each case, we express our results in terms of polarization tensors.

Citation

Ledger, P. D., & Lionheart, W. R. B. (2015). The perturbation of electromagnetic fields at distances that are large compared with the object's size. IMA Journal of Applied Mathematics, 80(3), 865-892. https://doi.org/10.1093/imamat/hxu009

• Journal Article Type: Article
• Acceptance Date: Mar 20, 2014
• Online Publication Date: May 14, 2014
• Publication Date: Jun 1, 2015
• Deposit Date: Jun 12, 2023
• Journal: IMA Journal of Applied Mathematics
• Print ISSN: 0272-4960
• Electronic ISSN: 1464-3634
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 80
• Issue: 3
• Pages: 865-892
• DOI: https://doi.org/10.1093/imamat/hxu009
• Keywords: Applied Mathematics