A sampling method for inverse scattering in the time domain

Inverse Problems

Volumn 26, Issue 8, 2010, Pages

  Chen, Q ^a   Haddar, H ^b   Lechleiter, A ^b   Monk, P ^a  

^a UNIVERSITY OF DELAWARE   (United States)

^b CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIRICHLET; FOURIER TRANSFORMATIONS; FREQUENCY DOMAINS; FREQUENCY-DOMAIN METHODS; GROUND PENETRATING RADAR; INVERSE SCATTERING; INVERSE SCATTERING PROBLEMS; INVERSION ALGORITHM; LINEAR SAMPLING METHODS; NEAR-FIELD; NUMERICAL EXAMPLE; SAMPLING METHOD; SCATTERED WAVES; SCATTERING OBJECTS; SINGLE FREQUENCY; TIME DOMAIN; TIME DOMAIN MEASUREMENT; TIME-DOMAIN DATA;

ALGORITHMS; FOURIER ANALYSIS; FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; INVERSE PROBLEMS; METADATA; RADAR IMAGING; SCATTERING; WAVE EQUATIONS;

TIME DOMAIN ANALYSIS;

EID: 77953791537     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/26/8/085001     Document Type: Article

References (15)

1. Bamberger A and Ha Duong T 1986 Formulation variationelle espace-temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique Math. Methods Appl. Sci. 8 405-35
2. Bingham K, Kurylev Y, Lassas M and Siltanen S 2008 Iterative time-reversal control for inverse problems Inverse Problems Imaging 2 63-81
3. Burkard C and Potthast R 2009 A time-domain probe method for three-dimensional rough surface reconstructions Inverse Problems Imaging 3 259-74
4. Cakoni F and Colton D 2006 Qualitative Methods in Inverse Scattering Theory: An Introduction (Berlin: Springer)
5. Colton D and Kirsch A 1996 A simple method for solving inverse scattering problems in the resonance region Inverse Problems 12 383-93
6. Colton D L and Kress R 1992 Inverse Acoustic and Electromagnetic Scattering Theory (Berlin: Springer)
7. Costabel M 2004 Time-Dependent Problems with the Boundary Integral Equation Method (Encyclopedia of Computational Mathematics) (New York: Wiley)
8. Fink M 1993 Time reversal mirrors J. Phys. D: Appl. Phys. 26 1333-50
9. Ito K, Ramdani K and Tucsnak M 2010 A time reversal based algorithm for solving initial data inverse problems Discrete Contin. Dyn. Syst. Ser. S (to appear)
10. Katchalov A, Kurylev Y and Lassas M 2001 Inverse Boundary Spectral Problems (Boca Ratan, FL: Chapman Hall/CRC Press)
11. Kirsch A and Grinberg N 2008 The Factorization Method for Inverse Problems (Oxford Lecture Series in Mathematics and Its Applications vol 36) (Oxford: Oxford University Press)
12. Lines C D and Chandler-Wilde S N 2005 A time domain point source method for inverse scattering by rough surfaces Computing 75 157-80
13. Lubich C 1994 On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations Numer. Math. 67 365-89
14. Luke D R and Potthast R 1963 The point source method for inverse scattering in the time domain Math. Methods Appl. Sci. 29 1501-21
15. McLean W 2000 Strongly Elliptic Systems and Boundary Integral Operators (Cambridge, UK: Cambridge University Press)