par Bertero, Mario 
;De Mol, Christine
Référence IEEE transactions on antennas and propagation, 29, 2, page (368-372)
Publication Publié, 1981
;De Mol, Christine Référence IEEE transactions on antennas and propagation, 29, 2, page (368-372)
Publication Publié, 1981
Article révisé par les pairs
| Résumé : | Inverse diffraction consists in determining the field distribution on a boundary surface from the knowledge of the distribution on a surface situated within the domain where the wave propagates. This problem is a good example for illustrating the use of least-squares methods (also called regularization methods) for solving linear ill-posed inverse problem. We focus on obtaining error bounds For regularized solutions and show that the stability of the restored field far from the boundary surface is quite satisfactory: the error is proportional to ∊(ðŗ‚ ≃ 1) , ðŗœ being the error in the data (Hölder continuity). However, the error in the restored field on the boundary surface is only proportional to an inverse power of │In∊│ (logarithmic continuity). Such a poor continuity implies some limitations on the resolution which is achievable in practice. In this case, the resolution limit is seen to be about half of the wavelength. Copyright © 1981 by The Institute of Electrical and Electronics Engineers, Inc. |
