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

(1)

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

(2)

so

			(3)
			(4)

(5)

and the (complex) solution is

(6)

The (complex) acceleration is given by

(7)

and the real acceleration is

(8)