Journal of Experimental and Theoretical Physics

, Volume 114, Issue 5, pp 724–730

On the ability of resonant diffraction gratings to differentiate a pulsed optical signal

Atoms, Molecules, Optics

DOI: 10.1134/S1063776112030028

Cite this article as:
Bykov, D.A., Doskolovich, L.L. & Soifer, V.A. J. Exp. Theor. Phys. (2012) 114: 724. doi:10.1134/S1063776112030028


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.

Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • D. A. Bykov
    • 1
    • 2
  • L. L. Doskolovich
    • 1
    • 2
  • V. A. Soifer
    • 1
    • 2
  1. 1.Image Processing Systems InstituteRussian Academy of SciencesSamaraRussia
  2. 2.Samara State Aerospace UniversitySamaraRussia