Downloads

Cakoni, F., and D. Colton (2006), Qualitative Methods in Inverse Scattering Theory, Springer, Berlin. Colton, D., and A. Kirsch (1996), A simple method for solving inverse scattering problems in the resonance region, Inverse Probl., 12(4), 383–393, doi:10.1088/0266-5611/12/4/003. Colton, D., and R. Kress (1998), Inverse Acoustic and Electromagnetic Scattering Theory, Appl. Math. Sci., vol. 93, 2nd ed., Springer, Berlin. Ikehata, M. (1998), Reconstruction of the shape of the inclusion by boundary measurements, Commun. Partial Differ. Equations, 23, 1459–1474, doi:10.1080/03605309808821390. Kirsch, A. (1996), An Introduction to the Mathematical Theory of Inverse Problems, Appl. Math. Sci., vol. 120, Springer, New York. Kirsch, A. (1998), Characterization of the shape of a scattering obstacle using the spectral data of the far field operator, Inverse Probl., 14(6), 1489–1512, doi:10.1088/0266-5611/14/6/009. Kirsch, A., and N. Grinberg (2008), The Factorization Method for Inverse Problems, Oxford Lect. Ser. Math. Its Appl., vol. 36, Oxford Univ. Press, Oxford, U. K. Kress, R. (1989), Linear Integral Equations, Springer, Berlin. Lax, P. D., and R. S. Phillips (1967), Scattering Theory, Pure Appl. Math., vol. 26, Academic, New York. Luke, D. R., and R. Potthast (2003), The no response test—A sampling method for inverse scattering problems, SIAM J. Appl. Math., 63(4), 1292–1312, doi:10.1137/S0036139902406887. Potthast, R. (1996), A fast new method to solve inverse scattering problems, Inverse Probl., 12(5), 731–742, doi:10.1088/0266-5611/12/5/014. Potthast, R. (1998), A point source method for inverse acoustic and electromagnetic obstacle scattering problems, IMA J. Appl. Math., 61(2), 119–140, doi:10.1093/imamat/61.2.119. Potthast, R. (2000), Stability estimates and reconstructions in inverse acoustic scattering using singular sources, J. Comput. Appl. Math., 114(2), 247–274, doi:10.1016/S0377-0427(99)00201-0. Potthast, R. (2001), Point Sources and Multipoles in Inverse Scattering Theory, Res. Notes Math., vol. 427, Chapman and Hall, Boca Raton, Fla. Potthast, R. (2004), A set‐handling approach for the no‐response test and related methods, Math. Comput. Simul., 66, 281–295, doi:10.1016/ j.matcom.2004.02.012. Potthast, R. (2006), A survey on sampling and probe methods for inverse problems, Inverse Probl., 22(2), R1–R47, doi:10.1088/0266-5611/22/2/R01. Potthast, R., and J. Schulz (2007), A multiwave range test for obstacle reconstructions with unknown physical properties, J. Comput. Appl. Math., 205, 53–71, doi:10.1016/j.cam.2006.04.040. Potthast, R., J. Sylvester and S. Kusiak (2003), A range test for determining scatterers with unknown physical properties, Inverse Probl., 19(3), 533–547,doi:10.1088/0266-5611/19/3/304.