Electron Scattering -- from Eric Weisstein's World of Physics

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Electron Scattering

Scattering of electromagnetic radiation can be modeled by a damped simple harmonic oscillator

with m the mass of the scatterer, the resonant frequency, the charge on the electron, the electric field strength, the frequency, and t the time variable. Look for a harmonic solution of the form

so

Equation (1) therefore becomes

and the (complex) solution is

The (complex) acceleration is given by

and the real acceleration is