Distorted Wave Born Approximation (DWBA)
The Born approximation is simplest when the incident waves are plane waves. That is, the scatterer is treated as a perturbation to free space or to a homogeneous medium.
In the distorted wave Born approximation (DWBA), the incident waves are solutions to a part of the problem that is treated by some other method, either analytical or numerical. The interaction of interest is treated as a perturbation to some system that can be solved by some other method. For nuclear reactions, numerical optical model waves are used. For scattering of charged particles by charged particles, analytic solutions for coulomb scattering are used. This gives the non-Born preliminary equation
and the Born approximation
Other applications include bremsstrahlung and the photoelectric effect. For charged particle induced direct nuclear reaction, the procedure is used twice. There are similar methods that do not use Born approximations. In condensed-matter research, DWBA is used to analyze grazing-incidence small-angle scattering.
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