Integer and fractional temporal self-imaging phenomena occur when an ideal (infinite-duration) periodic optical pulse sequence propagates through a suitable dispersive medium under the first-order dispersion approximation. I analytically and numerically investigate the impact of nonidealities in the input periodic pulse sequence, especially finite duration of the sequences as well as intensity and phase fluctuations between pulses, on the temporal self-imaging phenomena. I derive conditions for which effects associated with these nonidealities can be neglected. Under these conditions, the intensity of the input nonideal finite sequence can also be self-imaged—integer and fractional self-imaging are also possible—by propagation through a suitable dispersive medium. The resulting self-images of the input signal not only maintain the temporal features of the original individual pulses (temporal shape and duration) but also the total temporal duration of the finite input sequence and the original intensity fluctuations between pulses. The analytical results are confirmed by means of numerical simulations.
© 2003 Optical Society of America
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(260.2030) Physical optics : Dispersion
(320.5550) Ultrafast optics : Pulses
José Azaña, "Temporal self-imaging effects for periodic optical pulse sequences of finite duration," J. Opt. Soc. Am. B 20, 83-90 (2003)