Malus' law in X-ray (relavistic form)
A polarizer or polariser is an optical filter that passes light of a specific polarization and blocks waves of other polarizations.
When a perfect polarizer is placed in a polarized beam of light, the intensity of the transmitted part of the wave is proportional to the intensity of the the polarized wave before passing through the filter.
The relativistic form of the Malus’ law for X-ray states that the intensity of the light that passes through is depended on the initial intensity, the angle between the light’s initial polarization direction and the axis of the polarizer, the frequency of the polarized radiation falling on the polarizer, the frequency of the radiation that passes through the polarizer, the speed of light in vacuum and the Compton wavelength
(The Compton wavelength of a particle is equivalent to the wavelength of a photon whose energy is the same as the rest-mass energy of the particle).
(The term intensity is used to describe the rate at which light
spreads over a surface of a given area some distance from a source. The intensity varies with the distance from the source and the power of the source).
|I||Intensity of the transmitted wave (W/m2)|
|I0||Intensity of the polarized wave before passing through the filter (W/m2)|
|f||Frequency of the radiation passes through polarizer (Hz)|
|f0||Frequency of the polarized radiation falling on the polarizer (Hz)|
|λ||Compton wavelength (m)|
|c||Speed of light|
|θi||Angle between the light's initial polarization direction and the axis of the filter (degree)|