Temporal differentiation and integration of 3D optical pulses using phase-shifted Bragg gratings
N.V. Golovastikov, D.A. Bykov, L.L. Doskolovich

 

Image Processing Systems Institute оf RAS, – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia,
Samara National Research University, Samara, Russia

Full text of article: Russian language.

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Abstract:
We consider diffraction of a three-dimensional (3D) spatiotemporal optical pulse by a phase-shifted Bragg grating (PSBG). The pulse diffraction is described in terms of signal propagation through a linear system with its transfer function determined by the reflection or transmission coefficient of the PSBG. It is shown that a PSBG can perform temporal differentiation in reflection and temporal integration in transmission of a 3D spatiotemporal optical pulse envelope. Second order differentiation of the incident pulse envelope is achieved using two differentiating PSBGs separated by a vacuum layer with the optical thickness of a quarter of the Bragg wavelength. The possibility of performing the said operations are confirmed by rigorous simulation results.

Keywords:
thin films; pulse shaping.

Citation:
Golovastikov NV, Bykov DA, Doskolovich LL. Temporal differentiation and integration of 3D optical pulses using phase-shifted Bragg gratings. Computer Optics 2017; 41(1): 13-21.  DOI: 10.18287/2412-6179-2017-41-1-13-21.

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