Initial Mean Photon Number Research Articles

Evolution of Photon Statistics in Multiphoton Absorption of Strong Radiation

Rate equations for normal moments describing k-photon absorption are introduced and their solutions for strong coherent and chaotic input radiation are found in the form of power series with respect to the initial mean photon number; the terms which are of lower power in the initial mean photon number are neglected. These solutions enable us to describe the evolution of photon statistics up to the quasi-steady state of k-photon absorption. Particularly, the behaviour of the field in the steady state of k-photon absorption is treated. Some aspects of light fluctuation filtering and generation of sub-poissonian radiation in multiphoton absorption processes are discussed.

Exact analytical solution for the change of the photon statistics due tok-photon absorption

For unsaturatedk-photon absorption the exact solution of the master equation for the diagonal elements is presented. This solution is found by Laplace-transformation and recursion. It has the form of a double sum over the initial values. Commuting the order of summation we then show, that fork≧2 the photon distribution does not depend on the initial distribution if the initial mean photon number is sufficiently high and the square of the resulting photon number is small against the initial photon number.