Abstract

Problem of high-efficiency second harmonic generation (SHG) of femtosecond laser powerful pulses under the condition of laser radiation self-action (cubic non-linearity) is considered using both analytical and numerical methods. The process is described by non-linear Schrodinger equation regarding second order dispersion, phase mismatching and cubic non-linearity. Analytical investigation of the problem in case of long pulses, as well as the numerical simulation, shows a possibility of essential growth (up to 60%) of SHG generation efficiency. This result is due to introduced phase shifts between the interacting waves in a definite section of media. High-intensity and efficient SHG is described.

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