High-order passive photonic temporal integrators

Institut National de la Recherche Scientifique-Energie, Matériaux et Télécommunications (INRS-EMT),Montréal, Québec, H5A 1K6 Canada.
Optics Letters (Impact Factor: 3.29). 04/2010; 35(8):1191-3. DOI: 10.1364/OL.35.001191
Source: PubMed


We experimentally demonstrate, for the first time to our knowledge, an ultrafast photonic high-order (second-order) complex-field temporal integrator. The demonstrated device uses a single apodized uniform-period fiber Bragg grating (FBG), and it is based on a general FBG design approach for implementing optimized arbitrary-order photonic passive temporal integrators. Using this same design approach, we also fabricate and test a first-order passive temporal integrator offering an energetic-efficiency improvement of more than 1 order of magnitude as compared with previously reported passive first-order temporal integrators. Accurate and efficient first- and second-order temporal integrations of ultrafast complex-field optical signals (with temporal features as fast as approximately 2.5ps) are successfully demonstrated using the fabricated FBG devices.

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Available from: Chao Wang
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    • "Compared with a pure electronic temporal operator, a photonic temporal operator implemented in the optical domain would provide a much higher speed and wider bandwidth [1]. A few fundamental photonic signal processing operators and transformers, such as photonic temporal differentiators [2]–[10], integrators [11], [12] and Hilbert transformers [13]–[15], have been theoretically designed or practically realized. Manuscript received March 06, 2011; revised June 05, 2011, June 08, 2011; accepted June 08, 2011. "
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    ABSTRACT: A multichannel photonic temporal differentiator implemented based on a single multichannel fiber Bragg grating (FBG) for wavelength-division-multiplexed (WDM) signal pro- cessing is proposed for the first time to our knowledge. The multichannel FBG is designed u sing the discrete layer peeling (DLP) algorithm together with the spatial sampling technique. Specifically, the DLP algorithm is used to design the spectral response of an individual channel, while the spatial sampling is employed to generate a multichannel response. The key feature of the proposed temporal differentiator is that WDM signals at mul- tiple optical wavelengths can be simultaneously processed. Two sampling techniques, the phase-only and the amplitude-only, are employed. The use of the phase-only sampling technique to design a 45-channel first-order and second-order temporal differentiator is performed, and the use of the amplitude sampling technique to design a 3-channel first-order and second-order temporal differentiator is also performed. A proof-of-concept experiment is then carried out. A 3-channel first-order differentiator with a bandwidth of 33.75 GHz and a channel spacing of 100 GHz is fabricated. The use of the fabricated 3-channel FBG to perform first-order temporal differentiation of a 13.2-GHz Gaussian-like optical pulse with different optical carrier wavelength is demon- strated.
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    ABSTRACT: This paper reviews recent work on the design, experimental implementation, and application of two fundamental all-optical analog signal processing functionalities, namely, photonic temporal differentiation and photonic temporal integration, using customized grating devices directly written in optical fibers.
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    ABSTRACT: We theoretically and numerically demonstrate that a single fiber Bragg grating – conveniently apodized and of uniform period – operated in reflection can perform an arbitrary-order fractional integration of an input optical waveform. Analytical expressions were found relating the fractional integration order with the apodization profile of the fiber Bragg grating. This simple device shows a good accuracy calculating the fractional time integral of the complex field of arbitrary input optical waveforms.
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