• Title/Summary/Keyword: Inverse Scattering

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Solution of the Inverse Electromagnetic Scattering Problem for Cylindrical Objects by Using the Resonance Scattering Ttheory (공진산란이론을 이용한 원통형 산란체에 대한 전자기파문제의 역산란 이론)

  • Jung, Yong-Hwa;Jeon, Sang-Bong;Ahn, Chang-Hoi
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.55 no.3
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    • pp.142-148
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    • 2006
  • The resonances that contain the information on the properties of the scattering target can be used for target reconstruction approaches. The inverse scattering theory for the resonances has been applied to the problems of the scattering for a spherical, cylindrical dielectric objects and dielectrically coated conductors, shown reasonable results. Though by using this method the thickness and the dielectric constants of the target can be obtained from a determination of the spacing and of the widths of the scattering resonances, the radius of the target should be given. In this paper, we suggest the improved inverse theory combined with the resonance scattering theory to obtain the radius in addition to the dielectric constant of the target. The applications of this method for scattering problems of electromagnetic waves from cylindrical targets were accomplished, and it shows its validity.

Nonuniqueness in Inverse Scattering Problems (역산란 문제에서의 비유연성)

  • 김세윤;라정웅
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.9
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    • pp.1317-1321
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    • 1989
  • The nonuniqueness of solutions to inverse scattering problems for the reconstruction of cross sectional permitivity distributions on dielectric cylinder is illustrated in view of numerical analysis based on the spectral inverse scattering scheme with the moment-method procedures. It is also shown that some additional treatmenents such as multiple measurements, various incidences, etc. are not effective to assure the uniqueness.

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ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

  • Mamedov, Khanlar R.
    • Journal of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1243-1254
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    • 2009
  • The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0, $\infty$). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.

An angular spectral inverse scattering technique with series-expanded field in dielectric object (유전체내의 전계를 급수전걔로 표시한 각스펙트럼 영역의 역산란 방법)

  • Kim, Ha-Chul;Son, Hyon;Choi, Hyun-Chul
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.5
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    • pp.1317-1324
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    • 1996
  • An angular spectral inverse technique, applying the moment method procedure with a series expansion for the induced field in each enlarged cell, is suggested to reconstruct permittivity profiles of inhomogeneous dielectric objects and to reduce the ill-posedness inherent to inverse scattering problems. The angular spectral inverse scattering using the pulse basis function in enlarging the scatterer has the ill-posedness due to the input data of higher spectra. To reduce the number of higher spectra, enlarging the cell size and averaging over the cell with a suitable weighting function are found to play improtant roles for the reduction of ill-posedness of the angular spectral inverse scattering problems.

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A Spectral Inverse Scattering Technique by Using Low Pass Filters (저대역 필터를 사용한 파수영역에서의 역산란 방법)

  • 이재민;김세윤;라정웅
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.9
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    • pp.708-714
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    • 1991
  • In this paper, the noise contribution to the permit tivity profile reconstructed by the spectral inverse scattering scheme is investigated and a low-pass filter is proposed to reduce such the noise effects. Numerical simulations showed that the reconstructed profiles are affected by extremely large error. The suggested low-pass filter made it possible to reconstruct the permittivity profile nearly similar to the original. Furthermore, the optimal condition to the low-pass filter agreed well with the physical meaning even if several variables involved in the inverse scattering scheme were changed.

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A Study on the Estimation of Scattering Coefficient in the Spheres Using an Inverse Analysis (역해석을 이용한 구형 공간 내의 산란계수 추정에 관한 연구)

  • Kim, Woo-Seung;Kwag, Dong-Seong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.3
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    • pp.364-373
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    • 1999
  • A combination of conjugate gradient and Levenberg-Marquardt method is used to estimate the spatially varying scattering coefficient, ${\sigma}(r)$, in the solid and hollow spheres by utilizing the measured transmitted beams from the solution of an inverse analysis. The direct radiation problem associated with the inverse problem is solved by using the $S_{12}-approximation$ of the discrete ordinates method. The accuracy of the computations increased when the results from the conjugate gradient method are used as an initial guess for the Levenberg-Marquardt method of minimization. Optical thickness up to ${\tau}_0=3$ is used for the computations. Three different values of standard deviation are considered to examine the accuracy of the solution from the inverse analysis.

A Spectral Inverse Scattering Technique by Using Moment Method with Series-Expanded Basis (급수전개된 basis를 갖는 모멘트방법에 의한 파수영역의 역산란 방법)

  • Choi, Hyun-Chul;Kim, Se-Yun;Ra, Jung-Woong
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.446-449
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    • 1988
  • A spectral inverse technique, which was developed by applying the pulse basis moment method procedure on the direct scattering problem in the reverse sequence for the reconstruction of complex permittivity profiles inside inhomogeneous dielectric objects, is modified to be applicable to the moment method with series-expanded basis. By performing numerical simulations for various type of dielectric objects, it is demonstrated that this inverse technique provides close reconstruction of permittivity profiles. Futhermore, compared to the previous scheme of the pulse basis, the presented method is shown to reduce the computation cost, relative error of reconstructed permittivity profiles by averaging in each cell, and the ill-posedness inherent to this inverse scattering problem.

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Analysis of Microwave Inverse Scattering Using the Broadband Electromagnetic waves (광대역 전자파를 이용한 역산란 해석 연구)

  • Lee, Jung-Hoon;Chung, Young-Seek
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2005.11a
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    • pp.169-174
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    • 2005
  • In this paper, we proposed a new algorithm of the inverse scattering for the reconstruction of unknown dielectric scatterers using the finite-difference time-domain method and the design sensitivity analysis. We introduced the design sensitivity analysis based on the gradient for the fast convergence of the reconstruction. By introducing the adjoint variable method for the efficient calculation, we derived the adjoint variable equation. As an optimal algorithm we used the steepest descent method and reconstructed the dielectric targets using the iterative estimation. To verify our algorithm we will show the numerical examples for the two-dimensional $TM^2$ cases.

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Source Identification in 2-Dimensional Scattering Field Based on Inverse Problem (역문제를 이용한 2차원 산란장에서의 소스 추정)

  • Kim, Tae Yong;Lee, Hoon-Jae
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.6
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    • pp.1262-1268
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    • 2014
  • Inverse problem is very interest in the sciences and engineering, in particular for modeling and monitoring applications. By applying inverse problem, it can be widely used to exploration of mineral resources, identification of underground cables and buried pipelines, and diagnostic imaging in medical area. In this paper, we firstly consider 2-dimensional EM scattering problem and present the FDTD method to estimate unknown source. In this case, non-linear CGM technique is used to investigate unknown sources corresponding to measured data obtained from forward problem in near field. The proposed technique for solving the inverse source problem presents a reasonable agreement and can be applied to investigate an internal source signal of embedded security module.

Relationship between the Distribution of Space doses in X-ray Rooms and the "Inverse Square Law of Distance" (X선 촬영실 내 공간선량의 분포와 거리 역자승 법칙과의 관련성)

  • Choi, Seong-Kwan
    • The Journal of the Korea Contents Association
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    • v.13 no.8
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    • pp.301-307
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    • 2013
  • In the present study, space doses generated during X-ray radiography of hand, head, and abdomen, etc. were examined and whether the intensity of space doses of scattering rays is attenuated by the "inverse square law of distance" was figured out. First, the space doses of X-ray with small amounts of generated scattering rays such as hand radiography were mostly attenuated by the "inverse square law of distance" and were not detected at all at a distance of 2m. Second, the space doses of X-ray with large amounts of generated scattering rays such as head or abdomen radiography attenuated in higher rates than the rates under the "inverse square law of distance" at distances ranging from 30cm to 1m from the center of the irradiation field and were attenuated by the "inverse square law of distance" at distances ranging from 1m to 2m. Therefore, in X-ray rooms, the subject should be at least 2m away from the center of the irradiation field in the case of hand radiography and X-ray exposure prevention actions using protective devices are required in the entire spaces of the X-ray rooms in the case of head or abdomen radiography.