IEICE TRANSACTIONS on Electronics
Wiener-Hopf Analysis of the Diffraction by a Parallel-Plate Waveguide Cavity with Partial Material Loading
Summary :
The plane wave diffraction by a two-dimensional parallel-plate waveguide cavity with partial material loading is rigorously analyzed for both the E and the H polarization using the Wiener-Hopf technique. Introducing the Fourier transform for the scattered field and applying boundary conditions in the transform domain, the problem is formulated in terms of the simultaneous Wiener-Hopf equations satisfied by the unknown spectral functions. The Wiener-Hopf equations are solved exactly via the factorization and decomposition procedure leading to the formal solution, which involves branch-cut integrals with unknown integrands as well as infinite series with unknown coefficients. Applying rigorous asymptotics with the aid of the edge condition, the approximate solution to the Wiener-Hopf equations is derived in the form suitable for numerical computations. The scattered field inside and outside the cavity is evaluated by taking the inverse Fourier transform together with the use of the saddle point method. Numerical examples of the radar cross section are presented for various physical parameters, and the far field backscattering characteristics of the cavity are discussed in detail. Some comparisons with a high-frequency technique are also given to validate the present method.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E77-C No.6 pp.975-985
- Publication Date
- 1994/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Microwave and Millimeter Wave Technology
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Shoichi KOSHIKAWA, Kazuya KOBAYASHI, "Wiener-Hopf Analysis of the Diffraction by a Parallel-Plate Waveguide Cavity with Partial Material Loading" in IEICE TRANSACTIONS on Electronics,
vol. E77-C, no. 6, pp. 975-985, June 1994, doi: .
Abstract: The plane wave diffraction by a two-dimensional parallel-plate waveguide cavity with partial material loading is rigorously analyzed for both the E and the H polarization using the Wiener-Hopf technique. Introducing the Fourier transform for the scattered field and applying boundary conditions in the transform domain, the problem is formulated in terms of the simultaneous Wiener-Hopf equations satisfied by the unknown spectral functions. The Wiener-Hopf equations are solved exactly via the factorization and decomposition procedure leading to the formal solution, which involves branch-cut integrals with unknown integrands as well as infinite series with unknown coefficients. Applying rigorous asymptotics with the aid of the edge condition, the approximate solution to the Wiener-Hopf equations is derived in the form suitable for numerical computations. The scattered field inside and outside the cavity is evaluated by taking the inverse Fourier transform together with the use of the saddle point method. Numerical examples of the radar cross section are presented for various physical parameters, and the far field backscattering characteristics of the cavity are discussed in detail. Some comparisons with a high-frequency technique are also given to validate the present method.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e77-c_6_975/_p
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@ARTICLE{e77-c_6_975,
author={Shoichi KOSHIKAWA, Kazuya KOBAYASHI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Wiener-Hopf Analysis of the Diffraction by a Parallel-Plate Waveguide Cavity with Partial Material Loading},
year={1994},
volume={E77-C},
number={6},
pages={975-985},
abstract={The plane wave diffraction by a two-dimensional parallel-plate waveguide cavity with partial material loading is rigorously analyzed for both the E and the H polarization using the Wiener-Hopf technique. Introducing the Fourier transform for the scattered field and applying boundary conditions in the transform domain, the problem is formulated in terms of the simultaneous Wiener-Hopf equations satisfied by the unknown spectral functions. The Wiener-Hopf equations are solved exactly via the factorization and decomposition procedure leading to the formal solution, which involves branch-cut integrals with unknown integrands as well as infinite series with unknown coefficients. Applying rigorous asymptotics with the aid of the edge condition, the approximate solution to the Wiener-Hopf equations is derived in the form suitable for numerical computations. The scattered field inside and outside the cavity is evaluated by taking the inverse Fourier transform together with the use of the saddle point method. Numerical examples of the radar cross section are presented for various physical parameters, and the far field backscattering characteristics of the cavity are discussed in detail. Some comparisons with a high-frequency technique are also given to validate the present method.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - Wiener-Hopf Analysis of the Diffraction by a Parallel-Plate Waveguide Cavity with Partial Material Loading
T2 - IEICE TRANSACTIONS on Electronics
SP - 975
EP - 985
AU - Shoichi KOSHIKAWA
AU - Kazuya KOBAYASHI
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E77-C
IS - 6
JA - IEICE TRANSACTIONS on Electronics
Y1 - June 1994
AB - The plane wave diffraction by a two-dimensional parallel-plate waveguide cavity with partial material loading is rigorously analyzed for both the E and the H polarization using the Wiener-Hopf technique. Introducing the Fourier transform for the scattered field and applying boundary conditions in the transform domain, the problem is formulated in terms of the simultaneous Wiener-Hopf equations satisfied by the unknown spectral functions. The Wiener-Hopf equations are solved exactly via the factorization and decomposition procedure leading to the formal solution, which involves branch-cut integrals with unknown integrands as well as infinite series with unknown coefficients. Applying rigorous asymptotics with the aid of the edge condition, the approximate solution to the Wiener-Hopf equations is derived in the form suitable for numerical computations. The scattered field inside and outside the cavity is evaluated by taking the inverse Fourier transform together with the use of the saddle point method. Numerical examples of the radar cross section are presented for various physical parameters, and the far field backscattering characteristics of the cavity are discussed in detail. Some comparisons with a high-frequency technique are also given to validate the present method.
ER -
English
