Presentation 2007/1/18
Application of the Barzilai-Borwein steepest descent method to the reconstruction of a dielectric cylinder from multifrequency scattering data
Shingo IZUMI, Takato KUDOU,
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Abstract(in English) We have developed the reconstruction method based on the Barzilai-Borwein steepest descent method for the 2D inverse scattering problem and discussed its validity in the past. To solve the nonlinear and ill-posed problem, we propose an iterative scheme for reconstructing a cylindrical object using multifrequency scattering data in this article. We introduce the edge-preserving regularization to the scheme in order to improve the reconstructed result. We show the validity of present scheme by comparing with the scheme using the conjugate gradient method in numerical examples for a lossless dielectric cylinder.
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Keyword(in English) inverse scattering problem / Barzilai-Borwein steepest descent method / edge-preserving regularization / multifrequency scattering data
Paper # A・P2006-111
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Conference Date 2007/1/18(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Application of the Barzilai-Borwein steepest descent method to the reconstruction of a dielectric cylinder from multifrequency scattering data
Sub Title (in English)
Keyword(1) inverse scattering problem
Keyword(2) Barzilai-Borwein steepest descent method
Keyword(3) edge-preserving regularization
Keyword(4) multifrequency scattering data
1st Author's Name Shingo IZUMI
1st Author's Affiliation Faculty of Engineering, Oita University()
2nd Author's Name Takato KUDOU
2nd Author's Affiliation Faculty of Engineering, Oita University
Date 2007/1/18
Paper # A・P2006-111
Volume (vol) vol.106
Number (no) 491
Page pp.pp.-
#Pages 6
Date of Issue