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For the first time for a ZnGeP 2 crystal, the three-wave interaction of picosecond pulses was considered as the difference frequency generation. The group velocities and absorption of radiation were taken into account in performing a spectral analysis. The calculations of a radiation pulse were made for the following parameters of a CO 2 laser: 100-1.25 ps and 15-1100 GW cm −2 . At the 804.5 µm wavelength of difference frequency, the spectral characteristics have been obtained and the pulse power has been found as a function of crystal length. The half-cycle pulse generation is possible at a particular crystal length.

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