In this paper, we have derived a novel integral representation for the ground wave propagation over land-to-sea mixed-paths by applying the Helmholtz-Kirchhoff integral theorem. By using the method of stationary phase applicable uniformly as the stationary phase point approaches the endpoint of the integral, we have derived the asymptotic solution for the scattered fields consisting of the first-order and the second-order diffraction terms. We show that the asymptotic solution thus derived agrees with the asymptotic solution derived by applying the aperture field method (AFM) and the method of stationary phase. We have confirmed the validity and the utility of the novel integral representation and its asymptotic solution by comparing with the widely used mixed-path theorem and the experimental measurement performed in Kanto area and Tokyo bay.
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Toru KAWANO, Keiji GOTO, Toyohiko ISHIHARA, "Analysis Method of Ground Wave Propagation over Land-to-Sea Mixed-Path by Using Helmholtz-Kirchhoff Integral Theorem" in IEICE TRANSACTIONS on Electronics,
vol. E94-C, no. 1, pp. 10-17, January 2011, doi: 10.1587/transele.E94.C.10.
Abstract: In this paper, we have derived a novel integral representation for the ground wave propagation over land-to-sea mixed-paths by applying the Helmholtz-Kirchhoff integral theorem. By using the method of stationary phase applicable uniformly as the stationary phase point approaches the endpoint of the integral, we have derived the asymptotic solution for the scattered fields consisting of the first-order and the second-order diffraction terms. We show that the asymptotic solution thus derived agrees with the asymptotic solution derived by applying the aperture field method (AFM) and the method of stationary phase. We have confirmed the validity and the utility of the novel integral representation and its asymptotic solution by comparing with the widely used mixed-path theorem and the experimental measurement performed in Kanto area and Tokyo bay.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E94.C.10/_p
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@ARTICLE{e94-c_1_10,
author={Toru KAWANO, Keiji GOTO, Toyohiko ISHIHARA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Analysis Method of Ground Wave Propagation over Land-to-Sea Mixed-Path by Using Helmholtz-Kirchhoff Integral Theorem},
year={2011},
volume={E94-C},
number={1},
pages={10-17},
abstract={In this paper, we have derived a novel integral representation for the ground wave propagation over land-to-sea mixed-paths by applying the Helmholtz-Kirchhoff integral theorem. By using the method of stationary phase applicable uniformly as the stationary phase point approaches the endpoint of the integral, we have derived the asymptotic solution for the scattered fields consisting of the first-order and the second-order diffraction terms. We show that the asymptotic solution thus derived agrees with the asymptotic solution derived by applying the aperture field method (AFM) and the method of stationary phase. We have confirmed the validity and the utility of the novel integral representation and its asymptotic solution by comparing with the widely used mixed-path theorem and the experimental measurement performed in Kanto area and Tokyo bay.},
keywords={},
doi={10.1587/transele.E94.C.10},
ISSN={1745-1353},
month={January},}
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TY - JOUR
TI - Analysis Method of Ground Wave Propagation over Land-to-Sea Mixed-Path by Using Helmholtz-Kirchhoff Integral Theorem
T2 - IEICE TRANSACTIONS on Electronics
SP - 10
EP - 17
AU - Toru KAWANO
AU - Keiji GOTO
AU - Toyohiko ISHIHARA
PY - 2011
DO - 10.1587/transele.E94.C.10
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E94-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2011
AB - In this paper, we have derived a novel integral representation for the ground wave propagation over land-to-sea mixed-paths by applying the Helmholtz-Kirchhoff integral theorem. By using the method of stationary phase applicable uniformly as the stationary phase point approaches the endpoint of the integral, we have derived the asymptotic solution for the scattered fields consisting of the first-order and the second-order diffraction terms. We show that the asymptotic solution thus derived agrees with the asymptotic solution derived by applying the aperture field method (AFM) and the method of stationary phase. We have confirmed the validity and the utility of the novel integral representation and its asymptotic solution by comparing with the widely used mixed-path theorem and the experimental measurement performed in Kanto area and Tokyo bay.
ER -