Two-dimensional dielectric profile reconstruction based on spectral-domain moment method and nonlinear optimization

2000 ◽  
Vol 48 (11) ◽  
pp. 1831-1840 ◽  
Author(s):  
N.K. Uzunoglu ◽  
K.S. Nikita ◽  
T.A. Maniatis
Keyword(s):  
Nonlinear Optimization ◽  
Moment Method ◽  
Spectral Domain ◽  
Two Dimensional ◽  
Profile Reconstruction

Spectral‐domain solution to the electromagnetic scattering of a two‐dimensional beam by cylinders buried below a flat interface

2015 ◽  
Vol 13 (3) ◽  
pp. 219-225 ◽  
Author(s):  
Muhammad Arshad Fiaz ◽  
Fabrizio Frezza ◽  
Lara Pajewski ◽  
Cristina Ponti ◽  
Giuseppe Schettini
Keyword(s):  
Electromagnetic Scattering ◽  
Spectral Domain ◽  
Two Dimensional ◽  
Flat Interface

Inverse Scattering Scheme Based on the Moment Method in the Spectral Domain, Part I: Theory

1992 ◽  
Vol 14 (1) ◽  
pp. 16-28 ◽  
Author(s):  
Se-Yun Kim ◽  
Hyun-Chul Choi ◽  
Jae-Min Lee ◽  
Jung-Woong Ra
Keyword(s):  
Inverse Scattering ◽  
Basis Function ◽  
Moment Method ◽  
Spectral Domain ◽  
Scattering Problems ◽  
Actual Mechanism ◽  
Spectral Components ◽  
Key Factor ◽  
The Moment ◽  
Measurement Location

Recently, electromagnetic and ultrasonic imaging of inhomogeneous objects by applying the moment-method procedures of forward scattering problems in the reverse sequence have been developed. In this paper, the inverse scattering formulation has been modified to be applicable in the spectral domain. Compared to previous schemes, the suggested formulation illustrates clearly the actual mechanism of the inverse scattering process by explicit separation of the contributions from several variables, such as the measurement location, basis function, and geometry of objects. The ill-posedness inherent in inverse scattering problems was also explained easily in this spectral scheme by the exponentially-decaying behavior of high-frequency spectral components of the scattered field. It implies that enlargement of the discretized cell size is a key factor in regularizing the ill-posedness. In particular, since the singular kernel to be integrated on each cell became regular in the modified scheme, various types of basis functions instead of pulse function were adopted without additional difficulties. This advantage is expected to play an important role in regularizing the noise effect by selecting polynomial basis function on the enlarged cells of discretization in the spectral inverse scattering scheme.

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