On the inverse scattering problem for the Helmholtz equation in one dimension

1992 ◽  
Vol 8 (3) ◽  
pp. 365-391 ◽  
Author(s):  
Y Chen ◽  
V Rokhlin
Keyword(s):  
Helmholtz Equation ◽  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
One Dimension

AN ALGORITHM FOR THE FULLY NONLINEAR INVERSE SCATTERING PROBLEM AT FIXED FREQUENCY

2001 ◽  
Vol 09 (03) ◽  
pp. 935-940 ◽  
Author(s):  
F. NATTERER
Keyword(s):  
Helmholtz Equation ◽  
Multiple Scattering ◽  
Inverse Scattering ◽  
Scattering Problem ◽  
Plane Waves ◽  
Inverse Scattering Problem ◽  
Scattering Process ◽  
Fixed Frequency ◽  
Fully Nonlinear ◽  
Complex Valued

We reconstruct an object which is described by a complex valued function from the scattered waves generated by irradiating plane waves at fixed frequency. The scattering process is modeled by the Helmholtz equation and includes multiple scattering. We present numerical results from computer generated data.

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