Tao Peilin

Optical pulses compression using time lens

Abstract Temporal imaging is one of the important research issues using time-lens. The theory of temporal imaging using time lens is discussed briefly. The experiment to perform optical pulses compression is demonstrated and the problem is further discussed by numerical simulation in this article.Temporal imaging is one of the important research issues using time-lens. The theory of temporal imaging using time lens is discussed briefly. The experiment to perform optical pulses compression is demonstrated and the problem is further discussed by numerical simulation in this article. Introduction Time-lenses have been applied to the temporal imaging, optical communication, optical signal processing and other aspects. With the development of the optical information technology, people have had a keen interest in this field and made a lot of research. Optical pulses compression is one of the important research issues using time-lens. The concept of time-lens is first proposed by B.H.Kolner and M.Nazarathy. With the development of the optical information technology, people have had a keen interest in this field and made a lot of research. The application of a quadratic phase modulation to a time waveform is analogous to the action of a thin lens on the transverse profile of a beam. Time-lens which can be realized through several ways as following: a, optoelectronic phase modulation; b, Sum frequency and difference frequency of the nonlinear crystal; c, fiber cross-phase modulation. Because the time-lens which based on optoelectronic phase modulator is easier to realize, and its performance is stable, most of the experiments and equipments use the method. This article discusses the basic principles of time-lenses and analyzes the Temporal Imaging of time-lens in detail. Experimental setup Ignoring the nonlinear effects and fibre loss, the narrow band dispersion wave propagation can be described by the nonlinear Schrödinger equation, which is similar to the paraxial wave equation. It’s the base of the space-time duality theory. The space-time duality could be summarized in Table 1 in which only the relations on the Temporal-Spectral Imaging are listed below : Table 1. Space-time duality Space Time Transmission equation ) ( 2 yy xx z E E i E + − = κ ττ π β A d d i Al 2 2