An approximate solution of an inverse diffraction problem

1985 ◽  
Vol 25 (2) ◽  
pp. 189-193
Author(s):  
T.I. Bukharova ◽  
T.I. Savelova
Keyword(s):  
Approximate Solution ◽  
Diffraction Problem ◽  
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

Solution of a diffraction problem - Solution of a diffraction problem. II. The narrow double wedge

1959 ◽  
Vol 252 (1003) ◽  
pp. 31-51 ◽  
Keyword(s):  
Approximate Solution ◽  
Asymptotic Behaviour ◽  
Diffraction Problem ◽  
Approximate Solutions ◽  
Problem Solution ◽  
Evanescent Mode ◽  
Double Wedge ◽  
Resonance Effects ◽  
Reflexion Coefficient ◽  
Good Agreement

The problem of diffraction by a ‘narrow double wedge’ (width much smaller than wavelength) is investigated. Strong reflexion and quasi-static effects are the main features of this problem. The asymptotic behaviour of the solution is determined by the edge singularities. This leads to an approximate solution, which seems to be very accurate. This solution is found to be in good agreement with approximate solutions derived by different methods. The reflexion coefficient and the ‘end correction’ are evaluated. The results are compared with those obtained by other authors. It is shown that they contain a new effect, the 'evanescent mode correction’, which is very small in this region. Resonance effects in channels of finite length are analyzed.

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