Can N-th Order Born Approximation Be Exact?
Farhang Loran, Ali Mostafazadeh
TL;DR
This paper investigates conditions under which the N-th order Born approximation precisely solves scalar and electromagnetic wave scattering problems in various dimensions.
Contribution
It identifies specific interaction conditions where the N-th order Born approximation becomes exact for certain scattering problems.
Findings
Exact solutions for scalar wave scattering in 2D and 3D
Exact solutions for electromagnetic wave scattering in 3D
Conditions on interactions for Born approximation accuracy
Abstract
For the scattering of scalar waves in two and three dimensions and electromagnetic waves in three dimensions, we identify a condition on the scattering interaction under which the -th order Born approximation gives the exact solution of the scattering problem for some .
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