Loading [MathJax]/extensions/MathMenu.js
Comparing the imaging performance of MUSIC and Linear Sampling method | IEEE Conference Publication | IEEE Xplore

Comparing the imaging performance of MUSIC and Linear Sampling method


Abstract:

The MUltiple SIgnal Classification - MUSIC - algorithm and the Linear Sampling - LS - method are fast, stable, and effective non-iterative imaging techniques in inverse s...Show More

Abstract:

The MUltiple SIgnal Classification - MUSIC - algorithm and the Linear Sampling - LS - method are fast, stable, and effective non-iterative imaging techniques in inverse scattering problem. In fact, some previous studies indicated that the linear sampling method is an extended version of MUSIC. However, numerical results in support of this assertion have not been provided. In this contribution, we compare the imaging performance of MUSIC with that of the LS method with noisy data and underpin the above assertion.
Date of Conference: 15-17 October 2016
Date Added to IEEE Xplore: 16 February 2017
ISBN Information:
Conference Location: Datong, China
References is not available for this document.

I. Introduction

A recently developed MUSIC-type algorithm aims to retrieve perfectly conducting cracks at a fixed single frequency. According to [12], the MUSIC algorithm is very fast, stable, and efficient. Moreover, it can be easily extended to multiple targets.

Select All
1.
C. Y. Ahn, K. Jeon and W.-K. Park, "Analysis of MUSIC-type imaging functional for single thin electromagnetic inhomogeneity in limited-view inverse scattering problem", J. Comput. Phys., vol. 291, pp. 198-217, 2015.
2.
H. Ammari, E. Iakovleva and D. Lesselier, "A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency", Multiscale Model. Simul. 3:597–628, 2005.
3.
H. Ammari, H. Kang, E. Kim, K. Louati and M. Vogelius, "A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements", Numer. Math., vol. 108, pp. 501-528, 2008.
4.
X. Chen and Y. Zhong, "MUSIC electromagnetic imaging with enhanced resolution for small inclusions", Inverse Problems 25:015008, 2009.
5.
Y.-D. Joh, Y. M. Kwon and W.-K. Park, "MUSIC-type imaging of perfectly conducting cracks in limited-view inverse scattering problems", Appl. Math. Comput., vol. 240, pp. 273-280, 2014.
6.
Y.-D. Joh and W.-K. Park, "Structural behavior of the MUSIC-type algorithm for imaging perfectly conducting cracks", Prog. Electromagn. Res., vol. 138, pp. 211-226, 2013.
7.
Y.-K. Ma and W.-K. Park, "Analysis of MUSIC-type imaging functionals for small two-dimensional electromagnetic inhomogeneities", J. Electromagn. Waves Appl., vol. 29, pp. 1430-1439, 2015.
8.
W.-K. Park, "Asymptotic properties of MUSIC-type imaging in two-dimensional inverse scattering from thin electromagnetic inclusions", SIAM f. Appl. Math., vol. 75, pp. 209-228, 2015.
9.
W.-K. Park and D. Lesselier, "Electromagnetic MUSIC-type imaging of perfectly conducting arc-like cracks at single frequency", J. Comput. Phys., vol. 228, pp. 8093-8111, 2009.
10.
W.-K. Park and D. Lesselier, "MUSIC-type imaging of a thin penetrable inclusion from its far-field multi-static response matrix", Inverse Problems, vol. 25, 2009.
11.
R. Song, R. Chen and X. Chen, "Imaging three-dimensional anisotropic scatterers in multi-layered medium by MUSIC method with enhanced resolution", f. Opt. Soc. Am. A, vol. 29, pp. 1900-1905, 2012.
12.
Y. Zhong and X. Chen, "MUSIC imaging and electromagnetic inverse scattering of multiple-scattering small anisotropic spheres", IEEE Trans. Antennas Propag., vol. 55, pp. 3542-3549, 2007.
13.
A. Kirsch, "Characterization of the shape of the scatting obstacle using the spectral data of the far field operator", Inverse Problems, vol. 14, pp. 1489-1512, 1998.
14.
F. Cakoni and D. Colton, "The linear sampling method for cracks", Inverse Problems, vol. 19, pp. 279-295, 2003.
15.
A. Charalambopoulos, D. Gintides and K. Kiriaki, "The linear sampling method for the transmission problem in three-dimensional linear elasticity", Inverse Problems, vol. 18, pp. 547-558, 2002.
16.
D. Colton, H. Haddar and P. Monk, "The linear sampling method for solving the electromagnetic inverse scattering problem", SIAM f. Sci. comput., vol. 24, pp. 719-731, 2002.
17.
H. Haddar and P. Monk, "The linear sampling method for solving the electromagnetic inverse medium problem", Inverse Problems, vol. 18, pp. 891-906, 2002.
18.
R. Kress and L. Kühn, "Linear sampling methods for inverse boundary value problems in potential theory", Appl. Numer. Math., vol. 43, pp. 161-173, 2002.
19.
A. Kirsch and S. Ritter, "A linear sampling method for inverse scattering from an open arc", Inverse Problems, vol. 16, pp. 89-105, 2000.
20.
S. Nintcheu and B. Guniza, "A linear sampling method for nearfield inverse problems in elastodynamics", Inverse Problems 20:713–736, 2004.
21.
M. Cheney, "The linear sampling method and the MUSIC algorithm", Inverse Problems, vol. 17, pp. 591-595, 2001.
22.
R. Kress, "Inverse scattering from an open arc", Math. Meth. Appl. Sci., vol. 18, pp. 267-293, 1995.
23.
H. Ammari, H. Kang, H. Lee and W.-K. Park, "Asymptotic imaging of perfectly conducting cracks", SIAM f. Sci. Comput., vol. 32, pp. 894-922, 2010.
24.
A. Kirsch, "The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media", Inverse Problems, vol. 18, pp. 1025-1040, 2002.
25.
Z. T. Nazarchuk, "Mathematics and Applications Series" in Singular Integral Equations in Diffraction Theory, Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences Lviv, 1994.

Contact IEEE to Subscribe

References

References is not available for this document.