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The Born approximation is when you technically have an extended body but you ignore the scattering from the object itself. An example would be if you had material that was almost transparent, imagine some stained glass that is only ever so super lightly stained. You can basically treat each part as if it saw the normal unchanged light, technically the ...


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when $v/c$ is no longer very small, the characteristic radiation wavelength becomes comparable to the characteristic length of the radiating system, so that the charge configuration would change significantly over the course of one radiation period. If such is the case, then you cannot use the great simplification of dropping the integration variable ...



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