Short pulse transmission from Bragg Fabry-Perot filter

We report short optical pulse propagation in a Bragg Fabry-Perot filter formed by two uniform gratings. We examine the sequence of output pulses in order to determine the ideal reflectivities of the gratings such as the output pulses experience the peak power maximum. We assume a symmetric transform-limited 2-ps Gaussian pulse as the short input pulse to the filter. The results indicate that the reflectivities of the gratings must be equal in order to maximize the peak power of the transmitted pulses. We also consider the case of two input pulses with 10 ps time shift are incident on the input of the filter.