Optical-frequency conversion in gaseous media

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Abstract
This paper presents a general theoretical analysis of optical-frequency mixing of the radiation of n different laser beams (n=1,2,3,. . . ) in gaseous media with arbitrary density distribution. Phase-matching conditions between the induced nonlinear polarization and the generated optical radiation are calculated for third- and fifth-order sum- and difference-frequency mixing in free expanding gas jets taking into account absorption of the generated light and displacements of the foci of the laser radiation from the center of the gas jet.