Propagation of frequency-modulated pulses in active one-dimensional photonic crystals

The propagation of frequency-modulated pulses in onedimensional photonic crystals with gain is considered. A correct expression is derived for the delay time of the pulse maximum. This expression takes into account the input pulse characteristics: duration, frequency modulation and spectrum position in the photonic band gap. The analytical results are basically in agreement with the results of numerical simulation. The influence of gain in the photonic-crystal structure is considered. It is shown that the parameters of a transmitted pulse can be controlled by changing the inputpulse frequency modulation.