Non-resonant Electromagnetic Scattering Properties of Menger's Sponge Composed of Isotropic Paraelectric Material

Ushio SANGAWA

doi:10.1093/ietele/e90-c.2.484

Non-resonant Electromagnetic Scattering Properties of Menger's Sponge Composed of Isotropic Paraelectric Material

Ushio SANGAWA

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Menger's sponge (MS) is a kind of three-dimensional fractal structure. To analyze non-resonant electromagnetic properties of MS composed of isotropic paraelectric material, a novel, high-speed computation method employing simple recursion equations in terms of scattering amplitudes for two MS's with adjacent stage numbers, which are the parameters describing structural differences of MS's, is formulated. Within the scope of non-resonant electromagnetic phenomena, scattering patterns, forward and backward scattering amplitudes, and total cross sections of MS are investigated as a function of stage number and incident plane waves, and behaviors typical to fractal structures are extracted from the numerical results of the above equations. In addition, scattering properties at infinite stage number are discussed.

Publication: IEICE TRANSACTIONS on Electronics Vol.E90-C No.2 pp.484-491

Publication Date: 2007/02/01

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Online ISSN: 1745-1353

DOI: 10.1093/ietele/e90-c.2.484

Type of Manuscript: PAPER

Category: Electromagnetic Theory

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Ushio SANGAWA, "Non-resonant Electromagnetic Scattering Properties of Menger's Sponge Composed of Isotropic Paraelectric Material" in IEICE TRANSACTIONS on Electronics, vol. E90-C, no. 2, pp. 484-491, February 2007, doi: 10.1093/ietele/e90-c.2.484.
Abstract: Menger's sponge (MS) is a kind of three-dimensional fractal structure. To analyze non-resonant electromagnetic properties of MS composed of isotropic paraelectric material, a novel, high-speed computation method employing simple recursion equations in terms of scattering amplitudes for two MS's with adjacent stage numbers, which are the parameters describing structural differences of MS's, is formulated. Within the scope of non-resonant electromagnetic phenomena, scattering patterns, forward and backward scattering amplitudes, and total cross sections of MS are investigated as a function of stage number and incident plane waves, and behaviors typical to fractal structures are extracted from the numerical results of the above equations. In addition, scattering properties at infinite stage number are discussed.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e90-c.2.484/_p

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@ARTICLE{e90-c_2_484,
author={Ushio SANGAWA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Non-resonant Electromagnetic Scattering Properties of Menger's Sponge Composed of Isotropic Paraelectric Material},
year={2007},
volume={E90-C},
number={2},
pages={484-491},
abstract={Menger's sponge (MS) is a kind of three-dimensional fractal structure. To analyze non-resonant electromagnetic properties of MS composed of isotropic paraelectric material, a novel, high-speed computation method employing simple recursion equations in terms of scattering amplitudes for two MS's with adjacent stage numbers, which are the parameters describing structural differences of MS's, is formulated. Within the scope of non-resonant electromagnetic phenomena, scattering patterns, forward and backward scattering amplitudes, and total cross sections of MS are investigated as a function of stage number and incident plane waves, and behaviors typical to fractal structures are extracted from the numerical results of the above equations. In addition, scattering properties at infinite stage number are discussed.},
keywords={},
doi={10.1093/ietele/e90-c.2.484},
ISSN={1745-1353},
month={February},}

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TY - JOUR
TI - Non-resonant Electromagnetic Scattering Properties of Menger's Sponge Composed of Isotropic Paraelectric Material
T2 - IEICE TRANSACTIONS on Electronics
SP - 484
EP - 491
AU - Ushio SANGAWA
PY - 2007
DO - 10.1093/ietele/e90-c.2.484
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E90-C
IS - 2
JA - IEICE TRANSACTIONS on Electronics
Y1 - February 2007
AB - Menger's sponge (MS) is a kind of three-dimensional fractal structure. To analyze non-resonant electromagnetic properties of MS composed of isotropic paraelectric material, a novel, high-speed computation method employing simple recursion equations in terms of scattering amplitudes for two MS's with adjacent stage numbers, which are the parameters describing structural differences of MS's, is formulated. Within the scope of non-resonant electromagnetic phenomena, scattering patterns, forward and backward scattering amplitudes, and total cross sections of MS are investigated as a function of stage number and incident plane waves, and behaviors typical to fractal structures are extracted from the numerical results of the above equations. In addition, scattering properties at infinite stage number are discussed.
ER -