The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Kaedah untuk membina semula bentuk permukaan penyerakan daripada keamatan relatif medan berselerak dicadangkan. Pembinaan semula bentuk serakan telah dikaji sebagai masalah songsang. Pendekatan yang menggunakan persamaan kamiran sempadan boleh menentukan bentuk penyerakan dengan sumber pengiraan yang rendah dan ketepatan yang tinggi. Dalam kaedah ini, proses pembinaan semula dilakukan supaya ralat antara medan jauh yang diukur bagi sampel dan medan jauh yang dikira bagi bentuk serakan yang dianggarkan diminimumkan. Amplitud gelombang kejadian pada sampel diperlukan untuk mengira medan berselerak bagi bentuk yang dianggarkan. Walau bagaimanapun, pengukuran gelombang kejadian pada sampel (pengukuran tanpa sampel) adalah menyusahkan, terutamanya apabila kuasa keluaran sumber gelombang tidak stabil secara sementara. Dalam kajian ini, kami menambah baik kaedah pembinaan semula dengan persamaan kamiran sempadan untuk kegunaan praktikal dan kebolehkembangan kepada pelbagai jenis sampel. Pertama, kami mencadangkan persamaan kamiran sempadan baharu yang boleh membina semula bentuk sampel daripada keamatan relatif pada jarak terhingga. Keamatan relatif adalah bebas daripada amplitud gelombang kejadian, dan proses pembinaan semula boleh dilakukan tanpa mengukur medan kejadian. Kedua, persamaan kamiran sempadan untuk pembinaan semula didiskritkan dengan unsur sempadan. Elemen sempadan boleh mendiskrisikan pelbagai bentuk sampel secara fleksibel, dan pendekatan ini boleh digunakan untuk pelbagai masalah serakan songsang. Dalam makalah ini, kami membentangkan beberapa proses pembinaan semula dalam simulasi berangka. Kemudian, kita membincangkan sebab keadaan penumpuan perlahan dan memperkenalkan pekali pemberat untuk mempercepatkan penumpuan. Pekali pemberat bergantung pada jarak antara sampel dan titik cerapan. Akhir sekali, kami memperoleh formula untuk mendapatkan pekali pemberat optimum supaya kami boleh membina semula bentuk permukaan penyerakan pada pelbagai jarak titik cerapan.
Jun-ichiro SUGISAKA
Kitami Institute of Technology
Takashi YASUI
Kitami Institute of Technology
Koichi HIRAYAMA
Kitami Institute of Technology
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Salinan
Jun-ichiro SUGISAKA, Takashi YASUI, Koichi HIRAYAMA, "Reconstruction of Scatterer Shape from Relative Intensity of Scattered Field by Using Linearized Boundary Element Method" in IEICE TRANSACTIONS on Electronics,
vol. E103-C, no. 2, pp. 30-38, February 2020, doi: 10.1587/transele.2019ECP5013.
Abstract: A method to reconstruct the surface shape of a scatterer from the relative intensity of the scattered field is proposed. Reconstruction of the scatterer shape has been studied as an inverse problem. An approach that employs boundary-integral equations can determine the scatterer shape with low computation resources and high accuracy. In this method, the reconstruction process is performed so that the error between the measured far field of the sample and the computed far field of the estimated scatterer shape is minimized. The amplitude of the incident wave at the sample is required to compute the scattered field of the estimated shape. However, measurement of the incident wave at the sample (measurement without the sample) is inconvenient, particularly when the output power of the wave source is temporally unstable. In this study, we improve the reconstruction method with boundary-integral equations for practical use and expandability to various types of samples. First, we propose new boundary-integral equations that can reconstruct the sample shape from the relative intensity at a finite distance. The relative intensity is independent from the amplitude of the incident wave, and the reconstruction process can be performed without measuring the incident field. Second, the boundary integral equation for reconstruction is discretized with boundary elements. The boundary elements can flexibly discretize various shapes of samples, and this approach can be applied to various inverse scattering problems. In this paper, we present a few reconstruction processes in numerical simulations. Then, we discuss the reason for slow-convergence conditions and introduce a weighting coefficient to accelerate the convergence. The weighting coefficient depends on the distance between the sample and the observation points. Finally, we derive a formula to obtain an optimum weighting coefficient so that we can reconstruct the surface shape of a scatterer at various distances of the observation points.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.2019ECP5013/_p
Salinan
@ARTICLE{e103-c_2_30,
author={Jun-ichiro SUGISAKA, Takashi YASUI, Koichi HIRAYAMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Reconstruction of Scatterer Shape from Relative Intensity of Scattered Field by Using Linearized Boundary Element Method},
year={2020},
volume={E103-C},
number={2},
pages={30-38},
abstract={A method to reconstruct the surface shape of a scatterer from the relative intensity of the scattered field is proposed. Reconstruction of the scatterer shape has been studied as an inverse problem. An approach that employs boundary-integral equations can determine the scatterer shape with low computation resources and high accuracy. In this method, the reconstruction process is performed so that the error between the measured far field of the sample and the computed far field of the estimated scatterer shape is minimized. The amplitude of the incident wave at the sample is required to compute the scattered field of the estimated shape. However, measurement of the incident wave at the sample (measurement without the sample) is inconvenient, particularly when the output power of the wave source is temporally unstable. In this study, we improve the reconstruction method with boundary-integral equations for practical use and expandability to various types of samples. First, we propose new boundary-integral equations that can reconstruct the sample shape from the relative intensity at a finite distance. The relative intensity is independent from the amplitude of the incident wave, and the reconstruction process can be performed without measuring the incident field. Second, the boundary integral equation for reconstruction is discretized with boundary elements. The boundary elements can flexibly discretize various shapes of samples, and this approach can be applied to various inverse scattering problems. In this paper, we present a few reconstruction processes in numerical simulations. Then, we discuss the reason for slow-convergence conditions and introduce a weighting coefficient to accelerate the convergence. The weighting coefficient depends on the distance between the sample and the observation points. Finally, we derive a formula to obtain an optimum weighting coefficient so that we can reconstruct the surface shape of a scatterer at various distances of the observation points.},
keywords={},
doi={10.1587/transele.2019ECP5013},
ISSN={1745-1353},
month={February},}
Salinan
TY - JOUR
TI - Reconstruction of Scatterer Shape from Relative Intensity of Scattered Field by Using Linearized Boundary Element Method
T2 - IEICE TRANSACTIONS on Electronics
SP - 30
EP - 38
AU - Jun-ichiro SUGISAKA
AU - Takashi YASUI
AU - Koichi HIRAYAMA
PY - 2020
DO - 10.1587/transele.2019ECP5013
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E103-C
IS - 2
JA - IEICE TRANSACTIONS on Electronics
Y1 - February 2020
AB - A method to reconstruct the surface shape of a scatterer from the relative intensity of the scattered field is proposed. Reconstruction of the scatterer shape has been studied as an inverse problem. An approach that employs boundary-integral equations can determine the scatterer shape with low computation resources and high accuracy. In this method, the reconstruction process is performed so that the error between the measured far field of the sample and the computed far field of the estimated scatterer shape is minimized. The amplitude of the incident wave at the sample is required to compute the scattered field of the estimated shape. However, measurement of the incident wave at the sample (measurement without the sample) is inconvenient, particularly when the output power of the wave source is temporally unstable. In this study, we improve the reconstruction method with boundary-integral equations for practical use and expandability to various types of samples. First, we propose new boundary-integral equations that can reconstruct the sample shape from the relative intensity at a finite distance. The relative intensity is independent from the amplitude of the incident wave, and the reconstruction process can be performed without measuring the incident field. Second, the boundary integral equation for reconstruction is discretized with boundary elements. The boundary elements can flexibly discretize various shapes of samples, and this approach can be applied to various inverse scattering problems. In this paper, we present a few reconstruction processes in numerical simulations. Then, we discuss the reason for slow-convergence conditions and introduce a weighting coefficient to accelerate the convergence. The weighting coefficient depends on the distance between the sample and the observation points. Finally, we derive a formula to obtain an optimum weighting coefficient so that we can reconstruct the surface shape of a scatterer at various distances of the observation points.
ER -