Iterative approach to solve the inverse diffraction problem under sharp focusing conditions

2017 ◽  
Vol 26 (1) ◽  
pp. 18-25 ◽  
Author(s):  
S. N. Khonina ◽  
S. G. Volotovskiy ◽  
N. S. Fidirko
Keyword(s):  
Diffraction Problem ◽  
Iterative Approach ◽  
Sharp Focusing ◽  
Inverse Diffraction

An Inverse Diffraction Problem: Shape Reconstruction

2015 ◽  
Vol 5 (4) ◽  
pp. 342-360 ◽  
Author(s):  
Yanfeng Kong ◽  
Zhenping Li ◽  
Xiangtuan Xiong
Keyword(s):  
Error Estimates ◽  
Diffraction Problem ◽  
Shape Reconstruction ◽  
Numerical Examples ◽  
Tikhonov Method ◽  
Ill Posed ◽  
Tikhonov Regularisation ◽  
Slow Evolution ◽  
Inverse Diffraction

AbstractAn inverse diffraction problem is considered. Both classical Tikhonov regularisation and a slow-evolution-from-the-continuation-boundary (SECB) method are used to solve the ill-posed problem. Regularisation error estimates for the two methods are compared, and the SECB method is seen to be an improvement on the classical Tikhonov method. Two numerical examples demonstrate their feasibility and efficiency.

The inverse diffraction problem for a reactance plane

1972 ◽  
Vol 15 (12) ◽  
pp. 1461-1465 ◽  
Author(s):  
A. F. Chaplin ◽  
A. M. Aksel'rod
Keyword(s):  
Diffraction Problem ◽  
Inverse Diffraction
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