Graphical technique for the calculation of nonlinear optical polarization

摘要

A new graphical perturbation technique, based on the adiabatic solution of the density matrix, is developed to calculate nonlinear optical polarization. In each step of the perturbation, the adiabatic solution is expressed by a pair of conjugate diagrams describing the propagation of eigenstates. Using simple diagrammatic rules defined here, we calculate various third- and higher-order nonlinear optical polarizations including that for the seventh-harmonic generation. Inspection of higher-order calculation shows a consistent graphical pattern that can be used to directly write the nonlinear optical polarization of any desired order. (c) 2006 Optical Society of America.