Ledger, Paul D and Lionheart, William RB (2013) The perturbation of electromagnetic fields at distances that are large compared to the object�s size. [MIMS Preprint]
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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 to 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 polarisation tensors.
| Item Type: | MIMS Preprint |
|---|---|
| Additional Information: | Submitted to IMA Journal of Applied Mathematics |
| Uncontrolled Keywords: | Polarisation Tensors, Low Frequency Scattering, Asymptotic Expansions |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 41 Approximations and expansions |
| Depositing User: | Prof WRB Lionheart |
| Date Deposited: | 13 Nov 2013 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2064 |
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