Temporal aberration reduction using space-time dualiy in an imaging system consisting of a temporal double Gaussian lens

Temporal aberration is an important challenge in pulse-shaping process based on temporal imaging system. Temporal imaging is based upon the duality between spatial and temporal Fourier optics which, in turn, emanates from the similarity of the differential equations governing the diffraction of paraxial beams and dispersion of narrow-band pulses.  In this paper, the temporal implementation of spatial double-Gaussian lens  is proposed based on space-time duality and the concept of  time-lens. Inspired from other spatial optical systems which have been implemented in time, a temporal implementation of double-Gaussian lens with reduced aberation is proposed. The obtained image is improved in quality and aberration content  with 40 percent, compared to a conventional temporal imaging system.