The concept of time lens is based on the analogy between optical spatial diffraction and temporal dispersion. It extends our knowledge of optics in the space-domain into the time domain. Novel temporal imaging and signal processing systems can be created that mimic the operation of their spatial counterparts in the space-domain. A distinctive advantage of these temporal processing systems is their extremely high speed, up to picosecond range with currently available devices. In this Phase I program, we have studied the space- time duality and established a theoretical model for general temporal imaging systems. Design criteria for a phase chirp modulator as well as dispersive delay lines have been developed. Several temporal imaging and signal processing systems have been designed with commercially available optical and optoelectronic devices. Various applications of these temporal processing systems were studied. A temporal microscope and a temporal 4-f filtering system have been identified for prototype development in Phase II.