We show that repetition rate multiplication of a periodic pulse train through the temporal Talbot effect is not limited to first-order dispersive media but can also be observed in the presence of higher-order dispersive terms. We derive the equations and the conditions that generalize the Talbot effect to an arbitrary dispersive medium, and present numerical simulations confirming our theoretical predictions. In addition, we calculate the cross-correlation coefficient to examine if the conditions we have derived are exhaustive for the case of a single dispersion order present. These results provide an extended degree of flexibility in designing all-pass (phase-only) optical filters for pulse rate multiplication.
© 2006 Optical Society of America
Original Manuscript: July 7, 2006
Revised Manuscript: September 5, 2006
Manuscript Accepted: September 8, 2006
David Duchesne, Roberto Morandotti, and José Azaña, "Temporal Talbot phenomena in high-order dispersive media," J. Opt. Soc. Am. B 24, 113-125 (2007)