Moment method and iterative reconstruction of two-dimensional complex permittivity by using effective modes with multiple sources in the presence of noise
Article first published online: 7 DEC 2012
Copyright 1996 by the American Geophysical Union.
Volume 31, Issue 6, pages 1877–1886, November-December 1996
How to Cite
1996), Moment method and iterative reconstruction of two-dimensional complex permittivity by using effective modes with multiple sources in the presence of noise, Radio Sci., 31(6), 1877–1886, doi:10.1029/96RS01881., , and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 19 JUN 1996
- Manuscript Received: 28 SEP 1995
An iterative hybrid algorithm combining the steepest descent algorithm of Levenberg-Marquardt and the simulated annealing algorithm is used for reconstructing the complex permittivity of a two-dimensional, high-contrast, large object. The scattered fields calculated in a cost function are expanded in angular spectral modes. The “illposedness” in the inversion due to the noise in the scattered fields is regularized by keeping only the effective modes and filtering out the higher angular spectral modes. The object is discretized into N square cells of unknown permittivities and N or larger number of effective modes (P) are needed for this spectral domain iterative method to reconstruct the shape and the permittivity distribution of the object. When N > P, multiple view (K) and effective modes of each view (P) make the reconstruction possible if N ≤ PK.