Optical parametric amplifiers using nonuniform quasi-phase-matched gratings II. Space-time evolution of light pulses

Optical parametric amplifiers using chirped quasi-phase-matching gratings offer gain over wide bandwidths, making them promising candidates for use in ultra-short-pulse laser systems. We discuss the space-time evolution of the amplified light pulses. In the case of a linear phase-matching profile, this problem is exactly solvable. The Green’s functions of the system are investigated in detail and used to calculate the pulse shapes in the long- and short-pulse regimes.