The Use of Optimization in the Reconstruction of Obstacles from Acoustic or Electromagnetic Scattering Data

1997 ◽  
pp. 81-100 ◽  
Author(s):  
Pierluigi Maponi ◽  
Maria Cristina Recchioni ◽  
Francesco Zirilli
Keyword(s):  
Electromagnetic Scattering ◽  
Scattering Data

Shape and impedance recovery of obstacles from electromagnetic scattering data

2006 ◽  
Vol 48 (3) ◽  
pp. 596-600
Author(s):  
M. A. Hooshyar ◽  
Lena V. Lasater
Keyword(s):  
Electromagnetic Scattering ◽  
Scattering Data

Determination of surface profile statistics from electromagnetic scattering data

1997 ◽  
Vol 22 (1) ◽  
pp. 58 ◽  
Author(s):  
V. Malyshkin ◽  
S. Simeonov ◽  
A. R. McGurn ◽  
A. A. Maradudin
Keyword(s):  
Electromagnetic Scattering ◽  
Surface Profile ◽  
Scattering Data

THE USE OF THE HERGLOTZ FUNCTION METHOD TO RECONSTRUCT OBSTACLES FROM REAL AND FROM SYNTHETIC SCATTERING DATA

2001 ◽  
Vol 09 (02) ◽  
pp. 655-670 ◽  
Author(s):  
PIERLUIGI MAPONI ◽  
FRANCESCO ZIRILLI
Keyword(s):  
Electromagnetic Scattering ◽  
Acoustic Waves ◽  
Function Method ◽  
Scattering Problem ◽  
Acoustic Scattering ◽  
Inverse Scattering Problem ◽  
Scattering Data ◽  
Scattering Problems ◽  
Herglotz Function ◽  
Incident Waves

We consider the problem of the reconstruction of the shape of an obstacle from some knowledge of the scattered waves generated from the interaction of the obstacle with known incident waves. More precisely we study this inverse scattering problem considering acoustic waves or electromagnetic waves. In both cases the waves are assumed harmonic in time. The obstacle is assumed cylindrically symmetric and some special incident waves are considered. This allows us to formulate the two scattering problems, i.e. the acoustic scattering problem and the electromagnetic scattering problem, as a boundary value problem for the scalar Helmholtz equation in two independent variables. The numerical algorithms proposed are based on the Herglotz Function Method, which has been introduced by Colton and Monk.1 We report the results obtained with these algorithms in the reconstruction of simple obstacles with Lipschitz boundary using experimental electromagnetic scattering data, that is the Ipswich Data2,3 and in the reconstruction of "multiscale obstacles" using synthetic acoustic scattering data.

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