Exhaustive characteristics of the diffraction grating spectral device - its complex and power spread functions as the kernels of the corresponding integral operator, describing the optical signal transformation by spectral device is obtained. On the basis of the proposed alternative theory the possibility of using the diffraction grating spectral device for calculation of convolution and correlation of optical pulse signals is showed.
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Vasily I. Kazakov, Dmitry O. Moskaletz, Oleg D. Moskaletz, "Alternative theory of diffraction grating spectral device and its application for calculation of convolution and correlation of optical pulse signals," Proc. SPIE 9889, Optical Modelling and Design IV, 988924 (27 April 2016);