Compton Scattering of Twisted Light

The variation of photonic orbital angular momentum in Compton scattering is analytically analyzed. We determine the scattering matrix of twisted light based on the fundamental conservation of orbital angular momenta. Numerical values for two different twisted light modes: Laguerre-Gaussian and Bessel-Gaussian, are generated and illustrated. Our analysis indicates that states of photonic orbital angular momentum are highly changeable at wide angle scattering but more consistent at small angle scattering.