Ultra-short pulse transmission in a passive white light cavity based on chirped Bragg gratings

It is widely accepted that Bragg reflection from linearly chirped Bragg gratings (LCBGs) can compensate for a chromatic dispersion by reflecting different wavelengths at different location along the axis of the gratings for ultra-short pulses. In this paper, we studied the possibility of making use of such a dispersion-compensating property to construct a white light cavity (WLC). A pair of LCBGs is suggested as the reflectors of the cavity. The analytical and numerical analysis shows that the reflection by a LCBG does not solely occur at the position where Bragg condition is reached. The accumulated effect of multiple scatterings at different locations inside the LCBG produces a positive group delay, preventing the WLC to be realized with simple LCBG.