Scattering of X-Rays by an Electron

The interaction of electromagnetic waves, particularly X-rays, with the electrons of matter produces two effects  

The theory of coherent scattering by a classical free electron was developed by J, J, Thompson in 1898. The electron is considered to be a classical free particle of charge - e and of mass m accelerated by the oscillating electric field of the 

At the point P, the wave scattered by a free electron is polarized in the plane Eq/s. Its amplitude is proportional to the component of the acceleration of the electron perpendicular to s, 

The component of E parallel to the plane (So,s), of amplitude l Eo.pll = llEoll sin fl, makes an angle of njl - 26 with s, 26 being the angle between s and Sq- The amplitude Ep is thus 

The intensity of the radiation is proportional to the square of the amplitude, hence 

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The scattering length be for scattering of x-rays by an electron includes the square root of the polarization factor as discussed in Section 1.3.1. Since the polarization factor varies according to the state of polarization of the incident x-ray beam and thus... 

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