Christian, JM and Middleton-Spencer, HAJ 2019, Electromagnetic scattering problems on perfectly-conducting complex domains: from Rayleigh-Sommerfeld integrals toward fractal screens , in: 14th International Conference on the Mathematical and Numerical Aspects of Wave Propagation (WAVES 2019), 25th – 30th August 2019, Vienna University of Technology, Austria.
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Abstract
The diffraction of light by an aperture in an otherwise perfectly conducting plane screen of infinite extent is a phenomenon of fundamental interest in electromagnetics. Here, we consider classes of problems where the aperture domain is complex (possessing self-similar structure across a range of spatial scales) and modelled on infinite iterations of the fractal shapes devised by Cantor and Sierpinski. Rayleigh-Sommerfeld (RS) integrals are deployed to predict electric fields in the space behind the screen. This approach captures more fully the details of wave scattering, eliminating many of the approximations inherent with simpler analyses in Fraunhofer and Fresnel regimes. The solutions are essentially exact for Cantorset apertures, at least within Kirchhoff's treatment of the boundary conditions. Diffraction patterns from Cantor dust and Sierpinski triangle apertures are computed by transforming integrations over the domain into circulations around the constituent subdomain boundaries.
| Item Type: | Conference or Workshop Item (Lecture) |
|---|---|
| Schools: | Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre |
| Journal or Publication Title: | The 14th International Conference on the Mathematical and Numerical Aspects of Wave Propagation Book of Abstracts |
| Publisher: | Institute of Mechanics and Mechatronics, Faculty of Mechanical and Industrial Engineering Institute of Analysis and Scientific Computing, Faculty of Mathematics and Geoinformation TU Wien |
| ISBN: | 9783200065116 |
| Related URLs: | |
| Depositing User: | JM Christian |
| Date Deposited: | 02 Mar 2020 12:28 |
| Last Modified: | 02 Mar 2020 12:30 |
| URI: | http://usir.salford.ac.uk/id/eprint/56537 |
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