A photon echo experiment in Tm<sup>3+</sup>:YAG is reported that shows, for the first time to the authors’ knowledge, the time-domain equivalent of the transition from near- to far-field diffraction, including Talbot self-imaging effects. The experiment demonstrates the huge dispersion capability of photon echoes and opens the way to further exploration of space–time duality.
© 1999 Optical Society of America
(070.4790) Fourier optics and signal processing : Spectrum analysis
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(200.4740) Optics in computing : Optical processing
Loïc Ménager, Ivan Lorgeré, Jean-Louis Le Gouët, R. Krishna Mohan, and Stefan Kröll, "Time-domain Fresnel-to-Fraunhofer diffraction with photon echoes," Opt. Lett. 24, 927-929 (1999)