Inverse obstacle scattering in the time domain
نویسندگان
چکیده
This work is a study of the extension of an inverse obstacle scattering algorithm for fixed, single-frequency data to multi-frequency time-dependent settings. The inversion algorithm is based on the point source method, which reconstructs scattered fields pointwise with respect to frequency. We use Fourier transforms to obtain the time-dependent scattered fields as superpositions of single-frequency scattered fields. We establish criteria for the correspondence between solutions to the inverse problem in the frequency domain and the scattering problem in the time domain. Numerical examples illustrate the method.
منابع مشابه
A Time-Domain Method for Shape Reconstruction of a Target with Known Electrical Properties (RESEARCH NOTE)
This paper uses a method for shape reconstruction of a 2-D homogeneous object with arbitrary geometry and known electrical properties. In this method, the object is illuminated by a Gaussian pulse, modulated with sinusoidal carrier plane wave and the time domains’ footprint signal due to object presence is used for the shape reconstruction. A nonlinear feedback loop is used to minimize the diff...
متن کاملA Point-source Method in Inverse Electromagnetic Scattering
We present the mathematical foundation for a point-source method PSM to solve inverse electromagnetic perfect-conductor obstacle scattering problems. The PSM gives a new and explicit procedure how to compute locally from the far eld pattern E 1 an approximation for the total electric eld E near the unknown obstacle. The PSM then searches for the boundary of the obstacle as a zero-curve of p E w...
متن کامل0 Stability of the solutions to 3 D inverse scattering problems with fixed - energy data . ∗ †
Stability of the solutions to 3D inverse scattering problems with fixed-energy data. Abstract A review of the author's results is given. Inversion formulas and stability results for the solutions to 3D inverse scattering problems with fixed energy data are obtained. Inversion of exact and noisy data is considered. The inverse potential scattering problem with fixed-energy scattering data is dis...
متن کاملStability of the Solutions to 3D Inverse Scattering Problems with Fixed-Energy Data
A review of the author’s results is given. Inversion formulas and stability results for the solutions to 3D inverse scattering problems with fixed energy data are obtained. Inversion of exact and noisy data is considered. The inverse potential scattering problem with fixed-energy scattering data is discussed in detail, inversion formulas for the exact and for noisy data are derived, error estim...
متن کاملA Point-source Method for Inverse Acoustic and Electromagnetic Obstacle Scattering Problems
We present the mathematical foundation for a point-source method to solve some inverse acoustic and electromagnetic obstacle scattering problems in three dimensions. We investigate the inverse acoustic scattering problem by a sound-soft and a sound-hard scatterer and the inverse electromagnetic scattering problem by a perfect conductor. Two independent approaches to the method are presented whi...
متن کامل