| Paper Abstract and Keywords |
| Presentation |
2010-10-27 14:20
EM scattering from multiple dielectric cylinders of arbitrary orientation
Wenzhe Yan, Yang Du (Zhejiang University) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Electromagnetic scattering from multiple cylinders is a classical problem, yet is still an active research topic, with applications in microwave remote sensing, theory of photonic crystals, atmospheric sciences, and so on.
One popular way to attack this problem is to apply the T-matrix approach introduced by Waterman [1], in particular its derivative descendants, namely, the multi-scatterer equation, with varying flavors such as the iterative algorithms by Mackowski [2] and the recursive T-matrix algorithm (RTMA) by Chew [3]. However, a straightforward application of the above methods to scattering from multiple cylinders will raise certain technical issues. One, the mutual exclusive condition of the circumscribing spheres is often found violated (as in the case when any pair of reasonably long cylinders are close to each other); and two, the T matrix of a dielectric cylinder of arbitrary length, equivalent volumetric radius, and dielectric contrast with the ambient environment often leads to poor convergence or divergence.
In the T-matrix approach, fields are extended into series by using the vector spherical harmonics as basis functions. The behavior of the fields can be described in terms of modes, of which each is indexed by the combination (m, n), where n stands for the order of spherical Bessel functions in describing the radial dependence, and m the order of associated Legendre function for elevation angle dependence and trigonometric function for azimuthal angle dependence. In general, a linear system is set up to determine the expansion coefficients, and (m, n) are coupled, resulting in a large system with possibly poor condition numbers. However, in special cases, m-index can be decoupled and the system can be set up and solved separately for each m, hence significantly improve the numerical performance in terms of run time, stability and accuracy. Recently, we have proposed a new iterative technique with extension to the T-matrix approach to deal with the problem of scattering from multiple parallel dielectric cylinders of arbitrary length, where we take advantage of the fact that m-index is separable. Extensive numerical simulations demonstrate its suitability for arbitrary number of cylinders with sufficiently high order of scattering included [4].
In the current study, we extend our iterative method of analyzing scattering from multiple parallel cylinders to multiple cylinders of arbitrary orientation. The general procedure is similar yet the extension is by no means straightforward. The inherent technical challenge is to find ways to maintain separability of the m-index in face of application of Eulerian angle rotation and translational addition theorem. The validity of the proposed method is to be verified by good agreement between model results and numerical simulations.
REFERENCES
[1] P. C. Waterman, 。ーMatrix formulation of electromagnetic scattering,。ア Proc. IEEE, vol. 53, pp. 805-811, 1956.
[2] D. Mackowski and M. Mishchenko, 。ーCalculation of the T-matrix and the scattering matrix for ensembles of spheres,。ア J. Opt. Soc. Am. A, vol. 13, pp. 2266-2278, 1996.
[3] W. C. Chew, Waves and fields in inhomogeneous media, IEEE PRESS Series on Electromagnetic Waves, 1990.
[4] W. Z. Yan, D. W. Liu, H. T. Ewe, and Y. Du, 。ーElectromagnetic scattering from multiple cylinders,。ア Proc. IGARSS。ッ09, Cape Town, 2009. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
T-matrix / multiple scattering / volume scattering / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
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| Conference Information |
| Committee |
SANE |
| Conference Date |
2010-10-27 - 2010-10-29 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Ramada Hotel, Jeju-do, Korea |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
ICSANE 2010 (International Conference on Space, Aeronautical and Navigational Electronics) |
| Paper Information |
| Registration To |
SANE |
| Conference Code |
2010-10-SANE |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
EM scattering from multiple dielectric cylinders of arbitrary orientation |
| Sub Title (in English) |
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| Keyword(1) |
T-matrix |
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multiple scattering |
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volume scattering |
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| 1st Author's Name |
Wenzhe Yan |
| 1st Author's Affiliation |
Department of Information Science and Electronics Engineering, Z (Zhejiang University) |
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Yang Du |
| 2nd Author's Affiliation |
Department of Information Science and Electronics Engineering, Z (Zhejiang University) |
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| Speaker |
Author-1 |
| Date Time |
2010-10-27 14:20:00 |
| Presentation Time |
60 minutes |
| Registration for |
SANE |
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| Volume (vol) |
vol.110 |
| Number (no) |
no.250 |
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