On the ability of resonant diffraction gratings to differentiate a pulsed optical signal
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The passage of an optical pulse through a resonant grating is considered. The conditions under which the resonant grating differentiates the envelope of the incident pulse are determined. It is shown that the necessary condition for computing the k-order derivative is the presence of k resonances in the transmission spectrum of the grating in the vicinity of the central frequency of the incident pulse. A method is described for constructing the stacked structure for computing the kth derivative on the basis of repetition of the structure for computing the first derivative. The results of numerical simulation of diffraction of the pulse from the analyzed structure for computing the first, second, and third derivative are presented.
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- 26.N. V. Smirnov and I. V. Dunin-Barkovskii, Course of the Probability Theory and Mathematical Statistics for Engineering Applications (Nauka, Moscow, 1965) [in Russian].Google Scholar