This paper deals with a TE plane wave reflection and transmission from a one-dimensional random slab by means of the stochastic functional approach. The relative permittivity of the random slab is written by a Gaussian random field in the vertical direction with finite thickness, and is uniform in the horizontal direction with infinite extent. An explicit form of the random wavefield is obtained in terms of a Wiener-Hermite expansion with approximate expansion coefficients (Wiener kernels) under a small fluctuation case. By using the first three terms of the random wavefield representation, the optical theorem is illustrated in figures for several physical parameters. It is then found that the optical theorem holds with good accuracy.
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Yasuhiko TAMURA, Junichi NAKAYAMA, "TE Plane Wave Reflection and Transmission from a One-Dimensional Random Slab" in IEICE TRANSACTIONS on Electronics,
vol. E88-C, no. 4, pp. 713-720, April 2005, doi: 10.1093/ietele/e88-c.4.713.
Abstract: This paper deals with a TE plane wave reflection and transmission from a one-dimensional random slab by means of the stochastic functional approach. The relative permittivity of the random slab is written by a Gaussian random field in the vertical direction with finite thickness, and is uniform in the horizontal direction with infinite extent. An explicit form of the random wavefield is obtained in terms of a Wiener-Hermite expansion with approximate expansion coefficients (Wiener kernels) under a small fluctuation case. By using the first three terms of the random wavefield representation, the optical theorem is illustrated in figures for several physical parameters. It is then found that the optical theorem holds with good accuracy.
URL: https://global.ieice.org/en_transactions/electronics/10.1093/ietele/e88-c.4.713/_p
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@ARTICLE{e88-c_4_713,
author={Yasuhiko TAMURA, Junichi NAKAYAMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={TE Plane Wave Reflection and Transmission from a One-Dimensional Random Slab},
year={2005},
volume={E88-C},
number={4},
pages={713-720},
abstract={This paper deals with a TE plane wave reflection and transmission from a one-dimensional random slab by means of the stochastic functional approach. The relative permittivity of the random slab is written by a Gaussian random field in the vertical direction with finite thickness, and is uniform in the horizontal direction with infinite extent. An explicit form of the random wavefield is obtained in terms of a Wiener-Hermite expansion with approximate expansion coefficients (Wiener kernels) under a small fluctuation case. By using the first three terms of the random wavefield representation, the optical theorem is illustrated in figures for several physical parameters. It is then found that the optical theorem holds with good accuracy.},
keywords={},
doi={10.1093/ietele/e88-c.4.713},
ISSN={},
month={April},}
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TY - JOUR
TI - TE Plane Wave Reflection and Transmission from a One-Dimensional Random Slab
T2 - IEICE TRANSACTIONS on Electronics
SP - 713
EP - 720
AU - Yasuhiko TAMURA
AU - Junichi NAKAYAMA
PY - 2005
DO - 10.1093/ietele/e88-c.4.713
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E88-C
IS - 4
JA - IEICE TRANSACTIONS on Electronics
Y1 - April 2005
AB - This paper deals with a TE plane wave reflection and transmission from a one-dimensional random slab by means of the stochastic functional approach. The relative permittivity of the random slab is written by a Gaussian random field in the vertical direction with finite thickness, and is uniform in the horizontal direction with infinite extent. An explicit form of the random wavefield is obtained in terms of a Wiener-Hermite expansion with approximate expansion coefficients (Wiener kernels) under a small fluctuation case. By using the first three terms of the random wavefield representation, the optical theorem is illustrated in figures for several physical parameters. It is then found that the optical theorem holds with good accuracy.
ER -