Optimal design of a grism-pair for simultaneous second-, third-, and fourth-order dispersion compensating in chirped-pulse amplification

Residual high-order dispersions of chirped-pulse and optical parametric chirped-pulse amplifiers are extreme limitations for the amplification of ultra-short pulses. In this paper, we investigate the possibility of using a properly designed grism-pair compressor for simultaneously canceling the remaining second-, third-, and fourth-order dispersion of a chirped-pulse amplifier. The analytical phase shift expression of a grism-pair is used to introduce the general components for finding the optimal design of a grism-pair compressor. Particle swarm optimization algorithm is then, employed, and as an example, a tilted grism-pair compressor is designed to compensate the dispersion of a typical stretcher and amplifier. Simulation results show the possibility of complete compensation for second-, third-, and fourth-order dispersion by using an optimally aligned grism-pair compressor.