Optical-frequency conversion in gases using Gaussian laser beams with different confocal parameters

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Abstract
This paper presents a general description of optical-frequency mixing of n Gaussian laser beams (n=1,2,3,...) with different confocal parameters focused at different positions in the gas medium. A detailed theoretical analysis of third-order sum- and difference-frequency mixing of the light of two laser beams indicates that under certain conditions the output power is enhanced by using unequal confocal beam parameters.