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Different from classical Talbot self-imaging, second-order spatial Talbot effect is a kind of second-order imaging, in which the self-imaging of an object is observed through intensity correlation measurement. Here, in terms of space-time duality, we investigate the temporal counterpart of second-order Talbot self-imaging with temporally incoherent light. Our work shows that second-order Talbot effect in the time domain is related to the joint dispersion of light pulse in dispersive medium. Particularly, based on the discrete Fourier transformation, the fractional Talbot self-imaging via intensity correlation doesn't generally possess a definite fractional period, which contradicts some articles' results. Our results may be useful for implementing the repetition-rate-multiplication technique and remotely transmitting the periodic temporal signals robustly.

A wavelength-multiplexing ghost-imaging (WMGI) technique is performed in order to improve long data acquisition time in conventional ghost imaging. In WMGI, a source has more than two colored light beams which are independently modulated and projected onto an object at the same time. Then the reflected light from the object is recorded with wavelength-selected detectors. We analyze the contrast-to-noise ratio (CNR) of the reconstructed images of each single-wavelength ghost imaging and their superposition and demonstrate the validity of the WMGI technique.