ABSTRACT
This chapter presents the use of the joint Fourier transform correlator in spatio-temporal signal processing using the diffraction grating. The size of spatial component is determined by the extension of the diffracted beam from the grating. The chapter discusses femtosecond light pulse shaper, optical depth measurement and spectral holography. It also discusses the spectral domain optical coherence tomography (OCT). In OCT, a white light interferometer is used to encode the depth information of an object. In spectral interferometry, the spectra of the object and reference beams are superimposed in online and interfered. The method of the off-axis superposition of the object and reference spectra is the spectral holography. By an appropriately designed filter, the time-frequency filtering to the input pulse can be performed and the pulse shaping and the pulse compression are possible. It should be noted that temporal and spatial components are related complexly, as compared with usual spatial frequency filtering.
