The response of an optical resonator with distributed Bragg-reflectors (DBR) to light pulses are analyzed in terms of time-dependent coupled-wave equations. Transmission and reflection properties of optical pulses are calculated for various of the input pulse width, the optical wavelength, the coupling coefficient of the corrugated waveguide, and the distance between two Bragg reflectors. It is shown that the pulse shapes of transmitted and reflected waves are quite distorted by the dispersion characteristics of the corrugated waveguide, if the input pulse width is comparable to the transit time of the optical resonator. Optical pulses whose width is, for example, 10 times the transit time of the optical resonator, suffer little distortion during propagation in the optical resonator.
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Okuda et al. (1978) studied this question.