Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/184087
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- Title
- Benchmark problems for coupling and scattering with cavities of general form
- Related
- Sabath, Frank; Giri, D. V.; Rachidi, Farhad and Kaelin, Armin. Ultra-wideband, short-pulse electromagnetics. 9, p.47-53
- DOI
- 10.1007/978-0-387-77845-7_6
- Publisher
- New York ; London : Springer
- Date
- 2010
- FoR/RFCD Code(s)
-
090600 Electrical and Electronic Engineering
100500 Communications Technologies
- Author/Creator
- Smith, P. D
- Author/Creator
- Vinogradova, E. D
- Author/Creator
- Panin, S. B
- Author/Creator
- Tuchkin, Y. A
- Author/Creator
- Vinogradov, S. V
- Description
- The need for reliable and accurate prediction of electromagnetic wave coupling to, or scattering from, structures arises in many contexts. General-purpose computational codes have been extensively developed in the last few decades as computing power and resources have become widely available; they have had a significant impact in providing numerical solutions and insight into important coupling and scattering mechanisms. However, their accuracy, particularly for objects of some complexity, incorporating edges and re-entrant structures, can be difficult to assess. The strongly resonant features of cavity-backed apertures can present difficulties in accuracy and computational cost for such general-purpose numerical codes. This chapter presents a method of analytically regularizing the underlying integral equation governing diffraction from the structure, so that a well-conditioned system of equations is obtained. It generalizes the process of analytical regularization applied to cavities of spherical and other canonical shape [2, 3] in which the basic equations are transformed to a second-kind Fredholm matrix equation. It applies to axisymmetric bodies, and examples confirm that the condition number of the resultant system is well controlled even near-resonant frequencies and that solutions of guaranteed accuracy can be efficiently obtained.
- Description
- 7 page(s)
- Subject Keyword
- 090600 Electrical and Electronic Engineering
- Subject Keyword
- 100500 Communications Technologies
- Subject Keyword
- scattering and diffraction
- Subject Keyword
- electromagnetic waves
- Subject Keyword
- bodies of revolution
- Subject Keyword
- apertures
- Subject Keyword
- analytical regularization
- Resource Type
- book chapter
- Organisation
- Macquarie University. Dept. of Mathematics
- Identifier
- http://hdl.handle.net/1959.14/184087
- Identifier
- ISBN:9780387778440
- Identifier
- mq-rm-2011002608
- Language
- eng
