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Nevertheless, none of those methods can be applied to analyze and calculate the scattering of particles for the nonplane waves such as the Gaussian beam incidence or a top-hat beam.
However, these numerical methods are not adequate if two areas of the same nonplane surface (example: sag-deformation sheet) exchange energy by radiation.
"We have this nonplane wave that hits the deformable mirror, but by the time it bounces off, it's a plane wave again," says Acton.