This paper deals with the scattering and diffraction of a plane wave by a randomly rough half-plane by three tools: the small perturbation method, the Wiener-Hopf technique and a group theoretic consideration based on the shift-invariance of a homogeneous random surface. For a slightly rough case, the scattered wavefield is obtained up to the second-order perturbation with respect to the small roughness parameter and represented by a sum of the Fresnel integrals with complex arguments, integrals along the steepest descent path and branch-cut integrals, which are evaluated numerically. For a Gaussian roughness spectrum, intensities of the coherent and incoherent waves are calculated in the region near the edge and illustrated in figures, in terms of which several characteristics of scattering and diffraction are discussed.
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Yasuhiko TAMURA, Junichi NAKAYAMA, Kazuteru KOMORI, "Scattering and Diffraction of a Plane Wave by a Randomly Rough Half-Plane: Evaluation of the Second-Order Perturbation" in IEICE TRANSACTIONS on Electronics,
vol. E80-C, no. 11, pp. 1381-1387, November 1997, doi: .
Abstract: This paper deals with the scattering and diffraction of a plane wave by a randomly rough half-plane by three tools: the small perturbation method, the Wiener-Hopf technique and a group theoretic consideration based on the shift-invariance of a homogeneous random surface. For a slightly rough case, the scattered wavefield is obtained up to the second-order perturbation with respect to the small roughness parameter and represented by a sum of the Fresnel integrals with complex arguments, integrals along the steepest descent path and branch-cut integrals, which are evaluated numerically. For a Gaussian roughness spectrum, intensities of the coherent and incoherent waves are calculated in the region near the edge and illustrated in figures, in terms of which several characteristics of scattering and diffraction are discussed.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e80-c_11_1381/_p
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@ARTICLE{e80-c_11_1381,
author={Yasuhiko TAMURA, Junichi NAKAYAMA, Kazuteru KOMORI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Scattering and Diffraction of a Plane Wave by a Randomly Rough Half-Plane: Evaluation of the Second-Order Perturbation},
year={1997},
volume={E80-C},
number={11},
pages={1381-1387},
abstract={This paper deals with the scattering and diffraction of a plane wave by a randomly rough half-plane by three tools: the small perturbation method, the Wiener-Hopf technique and a group theoretic consideration based on the shift-invariance of a homogeneous random surface. For a slightly rough case, the scattered wavefield is obtained up to the second-order perturbation with respect to the small roughness parameter and represented by a sum of the Fresnel integrals with complex arguments, integrals along the steepest descent path and branch-cut integrals, which are evaluated numerically. For a Gaussian roughness spectrum, intensities of the coherent and incoherent waves are calculated in the region near the edge and illustrated in figures, in terms of which several characteristics of scattering and diffraction are discussed.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - Scattering and Diffraction of a Plane Wave by a Randomly Rough Half-Plane: Evaluation of the Second-Order Perturbation
T2 - IEICE TRANSACTIONS on Electronics
SP - 1381
EP - 1387
AU - Yasuhiko TAMURA
AU - Junichi NAKAYAMA
AU - Kazuteru KOMORI
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E80-C
IS - 11
JA - IEICE TRANSACTIONS on Electronics
Y1 - November 1997
AB - This paper deals with the scattering and diffraction of a plane wave by a randomly rough half-plane by three tools: the small perturbation method, the Wiener-Hopf technique and a group theoretic consideration based on the shift-invariance of a homogeneous random surface. For a slightly rough case, the scattered wavefield is obtained up to the second-order perturbation with respect to the small roughness parameter and represented by a sum of the Fresnel integrals with complex arguments, integrals along the steepest descent path and branch-cut integrals, which are evaluated numerically. For a Gaussian roughness spectrum, intensities of the coherent and incoherent waves are calculated in the region near the edge and illustrated in figures, in terms of which several characteristics of scattering and diffraction are discussed.
ER -