
Orthogonality sampling type methods for an inverse acoustic scattering problem
We consider the inverse acoustic scattering problem of determining the l...
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A fast adaptive algorithm for scattering from a two dimensional radiallysymmetric potential
In the present paper we describe a simple black box algorithm for effici...
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"Interpolated Factored Green Function" Method for accelerated solution of Scattering Problems
This paper presents a novel "Interpolated Factored Green Function" metho...
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An Efficient Iterative Method for Solving Multiple Scattering in Locally Inhomogeneous Media
In this paper, an efficient iterative method is proposed for solving mul...
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A fast algorithm for the electromagnetic scattering from a large rectangular cavity in three dimensions
The paper is concerned with the threedimensional electromagnetic scatte...
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A fast algorithm for solving a threedimensional inverse multiple frequency problems of scalar acoustics in a cylindrical region
A new algorithm for the stable solution of a threedimensional scalar in...
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On a three dimensional Compton scattering tomography system with fixed source
Compton scatter tomography is an emerging technique with attractive appl...
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Introduction of a Novel MoM Solution for 2D Sourcetype EFIE in MI Problems
This paper presents a novel formulation and consequently a new solution for two dimensional TM electromagnetic integral equations by the method of moments in polar coordination. The main idea is the reformulation of the 2D problem according to addition theorem for Hankel functions that appear in Green function of 2D homogeneous media. In this regard, recursive formulas in spatial frequency domain are derived and the scattering field is rewritten into inward and outward components and, then, the primary 2D problem can be solved using 1D FFT in the stabilized biconjugategradient fast Fourier transform BCGSFFT algorithm. Because the emerging method obtains 1D FFT over a circle, there is no need to expand an object region by zero padding, whereas it is necessary for conventional 2D FFT approach. Therefore, the method saves lots of memory and time over the conventional approach. other interesting aspect of the proposed method is that the field on a circle outside a scattering object, can be calculated efficiently using an analytical formula. This is, particularly, attractive in electromagnetic inverse scattering problems and microwave imaging. The numerical examples for 2D TM problems demonstrate merits of proposed technique in terms of the accuracy and computational efficiency.
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