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  • Vol. 36, Iss. 17 — Sep. 1, 2011
  • pp: 3509–3511

Temporal differentiation of optical signals using resonant gratings

Dmitry A. Bykov, Leonid L. Doskolovich, and Viktor A. Soifer  »View Author Affiliations


Optics Letters, Vol. 36, Issue 17, pp. 3509-3511 (2011)
http://dx.doi.org/10.1364/OL.36.003509


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Abstract

We study theoretically the possibility of performing temporal differentiation of optical signals using a resonant diffraction grating. We demonstrate that the resonant grating allows the calculation of the first-order derivative of an optical signal envelope in the vicinity of waveguide resonant frequencies in the zeroth transmitted diffraction order. The grating is shown to allow the calculation of the fractional derivative of order 1 / 2 in the vicinity of Rayleigh–Wood anomalies. Numerical simulations based on the rigorous coupled-wave analysis of Maxwell’s equations demonstrate the high-quality differentiation of optical signals with temporal features in the picosecond range.

© 2011 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(320.5550) Ultrafast optics : Pulses

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 26, 2011
Manuscript Accepted: August 8, 2011
Published: September 1, 2011

Citation
Dmitry A. Bykov, Leonid L. Doskolovich, and Viktor A. Soifer, "Temporal differentiation of optical signals using resonant gratings," Opt. Lett. 36, 3509-3511 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-17-3509


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