Multiplication of periodic pulse train repetition rates using the self-imaging phenomenon in high order dispersive media

摘要

We show that the temporal Talbot effect, also known as the self-imaging phenomenon, is not limited to first-order dispersive media but can also be observed in higher-order dispersive media. By induction on the first-order Talbot conditions necessary to observe repetition rate multiplication, we obtain a new set of conditions for fractional self-imaging in higher-order dispersive media. Theoretical derivations and simulations demonstrate the possibility to observe repetition rate multiplication in higher-order dispersive media, in particular second and third order dispersive media. These results extend the Talbot effect to a medium of arbitrary dispersive orders and provide a greater degree of flexibility to design all-pass (phase-only) optical filters for pulse rate multiplication.