The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces

In this work, the numerical steepest descent path (NSDP) method is proposed to compute the highly oscillatory physical optics (PO) scattered fields from the concave surfaces, including both the monostatic and the bistatic cases. Quadratic variations are adopted to approximate the integrands of the P...

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Main Authors: Yu Mao Wu, Hanzhang Zhou, Ya-Qiu Jin, Jun Hu, Haijing Zhou, Weijie Wang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2020/5296754
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author Yu Mao Wu
Hanzhang Zhou
Ya-Qiu Jin
Jun Hu
Haijing Zhou
Weijie Wang
author_facet Yu Mao Wu
Hanzhang Zhou
Ya-Qiu Jin
Jun Hu
Haijing Zhou
Weijie Wang
author_sort Yu Mao Wu
collection DOAJ
description In this work, the numerical steepest descent path (NSDP) method is proposed to compute the highly oscillatory physical optics (PO) scattered fields from the concave surfaces, including both the monostatic and the bistatic cases. Quadratic variations are adopted to approximate the integrands of the PO type integral into the canonical form. Then, on involving the NSDP method, we deform the integration paths of the integrals into several NSDPs on the complex plain, through which the highly oscillatory integrands are converted to exponentially decay integrands. The RCS results of the PO scattered field are calculated and are compared with the high frequency asymptotic (HFA) method and the brute force (BF) method. The results demonstrate that the proposed NSDP method for calculating PO scattered fields from concave surfaces is frequency-independent and error-controllable. Numerical examples are provided to verify the efficiencies of the NSDP method.
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institution Kabale University
issn 1687-5869
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spelling doaj-art-423ebe3630834979abca1f0f0a9222b72025-02-03T00:58:49ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772020-01-01202010.1155/2020/52967545296754The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave SurfacesYu Mao Wu0Hanzhang Zhou1Ya-Qiu Jin2Jun Hu3Haijing Zhou4Weijie Wang5Department of Communication Science and Engineering, Fudan University, Shanghai 200433, ChinaDepartment of Electronic Engineering, Fudan University, Shanghai 200433, ChinaDepartment of Communication Science and Engineering, Fudan University, Shanghai 200433, ChinaSchool of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaInstitute of Applied Physics and Computational Mathematics, Beijing 100094, ChinaInstitute of Applied Physics and Computational Mathematics, Beijing 100094, ChinaIn this work, the numerical steepest descent path (NSDP) method is proposed to compute the highly oscillatory physical optics (PO) scattered fields from the concave surfaces, including both the monostatic and the bistatic cases. Quadratic variations are adopted to approximate the integrands of the PO type integral into the canonical form. Then, on involving the NSDP method, we deform the integration paths of the integrals into several NSDPs on the complex plain, through which the highly oscillatory integrands are converted to exponentially decay integrands. The RCS results of the PO scattered field are calculated and are compared with the high frequency asymptotic (HFA) method and the brute force (BF) method. The results demonstrate that the proposed NSDP method for calculating PO scattered fields from concave surfaces is frequency-independent and error-controllable. Numerical examples are provided to verify the efficiencies of the NSDP method.http://dx.doi.org/10.1155/2020/5296754
spellingShingle Yu Mao Wu
Hanzhang Zhou
Ya-Qiu Jin
Jun Hu
Haijing Zhou
Weijie Wang
The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces
International Journal of Antennas and Propagation
title The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces
title_full The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces
title_fullStr The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces
title_full_unstemmed The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces
title_short The Efficient Method for Calculating the Physical Optics Scattered Fields from the Concave Surfaces
title_sort efficient method for calculating the physical optics scattered fields from the concave surfaces
url http://dx.doi.org/10.1155/2020/5296754
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