Time-domain differentiation of optical pulses in reflection and in transmission using the same resonant grating

Propagation of an optical pulse through a diffraction grating that has a resonance near the pulse central wavelength is discussed. We show that under definite conditions the envelopes of reflected and transmitted pulses may represent the derivative of the incident pulse envelope. Based on the resona...

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Bibliographic Details
Published in:Journal of optics (2010) 2013-10, Vol.15 (10), p.105703-1-6
Main Authors: Bykov, D A, Doskolovich, L L, Golovastikov, N V, Soifer, V A
Format: Article
Language:English
Subjects:
all-optical differentiation
Derivatives
guided-mode resonance
optical pulse
resonant diffraction grating
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Summary:Propagation of an optical pulse through a diffraction grating that has a resonance near the pulse central wavelength is discussed. We show that under definite conditions the envelopes of reflected and transmitted pulses may represent the derivative of the incident pulse envelope. Based on the resonance representation of the reflection and transmission spectra, the comparative analysis of the energy efficiency and accuracy of grating-based differentiators operating in reflection and transmission is conducted. A resonant diffraction grating for differentiation of ps-pulses in reflection and in transmission is designed within the framework of the rigorous electromagnetic theory.
ISSN:2040-8978
2040-8986
DOI:10.1088/2040-8978/15/10/105703