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Progress In Electromagnetics Research | ISSN: 1070-4698, E-ISSN: 1559-8985 |

Home > Vol. 38 > pp. 29-45
## BEHAVIOR OF THE REGULARIZED SAMPLING INVERSE SCATTERING METHOD AT INTERNAL RESONANCE FREQUENCIESBy N. Shelton and K. F. Warnick
Abstract:
The original proof of the Colton-Kirsch regularized sampling inverse scattering algorithm does not apply at frequencies which are eigenvalues of the interior Helmholtz problem. We explain numerical observations of the behavior of the method and show that useful information about scatterer shape can be obtained at internal resonance frequencies.
2. Colton, D., M. Piana, and R. Potthast, "A simple method using Morozov’s discrepancy principle for solving inverse scattering problems," 3. Colton, D. and P. Monk, "A linear sampling method for the detection of leukemia using microwaves," 4. Colton, D., K. Giebermann, and P. Monk, "A regularized sampling method for solving three dimensional inverse scattering problems," 5. Kress, R. and L. Kuhn, "Linear sampling methods for inverse boundary value problems in potential theory," 6. Kress, R., "A sampling method for an inverse boundary value problem for harmonic vector fields," 7. Kirsch, A., "Characterization of the shape of the scattering obstacle using the spectral data," 8. Brandfass, M., A. Lanterman, and K. Warnick, "A comparison of the Colton-Kirsch inverse scattering method with linearized tomographic inverse scattering," 9. Colton, D. and R. Kress, 10. Lax, P. and R. Phillips, 11. Colton, D. and R. Kress, 12. Kress, R., "Uniqueness in inverse obstacle scattering for electromagnetic wave," 13. Warnick, K. F. and W. C. Chew, "Error analysis of surface integral equation methods," |

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