Arbitrary-order all-fiber temporal differentiator based on a fiber Bragg grating: design and experimental demonstration.

A new technique to design an all-fiber temporal differentiator that has a large bandwidth and an arbitrary differentiation order is proposed and investigated. The proposed temporal differentiator is a special fiber Bragg grating (FBG) that is designed by controlling its magnitude and phase responses with the discrete layer peeling (DLP) method. There are three important features of this technique: 1) the temporal differentiator has an arbitrary magnitude response and a controllable bandwidth; 2) the temporal differentiator can be designed and fabricated with an arbitrary differentiation order that is realized in a single FBG; 3) the required maximum index modulation of the FBG-based differentiator is largely decreased by using a Gaussian windowing function. The use of the proposed technique to design temporal differentiators with a differentiation order up to the fourth and with a bandwidth up to 500 GHz is studied. A proof-of-concept experiment is then carried out. A first- and a second-order temporal differentiator with a bandwidth of 25 GHz are experimentally demonstrated.

[1]  Y. Sheng,et al.  Ultrabroadband fiber Bragg gratings written with a highly chirped phase mask and infrared femtosecond pulses. , 2009, Optics express.

[2]  Y. Sheng,et al.  Advanced design of a multichannel fiber Bragg grating based on a layer-peeling method , 2004 .

[3]  José Azaña,et al.  Experimental demonstration of ultrafast all-fiber high-order photonic temporal differentiators. , 2009, Optics letters.

[4]  Deming Liu,et al.  All-optical differentiator based on cross-gain modulation in semiconductor optical amplifier. , 2007, Optics letters.

[5]  Yikai Su,et al.  Compact optical temporal differentiator based on silicon microring resonator. , 2008, Optics express.

[6]  Miguel A Muriel,et al.  Design of an ultrafast all-optical differentiator based on a fiber Bragg grating in transmission. , 2008, Optics letters.

[7]  J. Azaña,et al.  Tunable dispersion-tolerant picosecond flat-top waveform generation using an optical differentiator. , 2007, Optics express.

[8]  Deming Liu,et al.  High-speed all-optical differentiator based on a semiconductor optical amplifier and an optical filter. , 2007, Optics letters.

[9]  J. Skaar,et al.  On the synthesis of fiber Bragg gratings by layer peeling , 2001 .

[10]  J. Azaa,et al.  On the Design of Efficient and Accurate Arbitrary-Order Temporal Optical Integrators Using Fiber Bragg Gratings , 2009, Journal of Lightwave Technology.

[11]  J. Azaña,et al.  Photonic temporal integrator for all-optical computing. , 2008, Optics express.

[12]  J. Azana,et al.  Arbitrary-Order Ultrabroadband All-Optical Differentiators Based on Fiber Bragg Gratings , 2007, IEEE Photonics Technology Letters.

[13]  S. Blais,et al.  Optical ultrawideband monocycle pulse generation based on cross-gain modulation in a semiconductor optical amplifier. , 2006, Optics letters.

[14]  Michalis N. Zervas,et al.  An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings , 1999 .

[15]  José Azaña,et al.  Temporal differentiation of optical signals using a phase-shifted fiber Bragg grating. , 2007, Optics express.

[16]  Roberto Morandotti,et al.  Ultrafast all-optical differentiators. , 2006, Optics express.

[17]  José Azaña,et al.  Long-period fiber gratings as ultrafast optical differentiators. , 2005, Optics letters.

[18]  Nam Quoc Ngo,et al.  A new theoretical basis of higher-derivative optical differentiators , 2004 .

[19]  S. James,et al.  Optical fibre long-period grating sensors: characteristics and application , 2003 .

[20]  Michalis N. Zervas,et al.  Moving fibre/phase mask-scanning beam technique for enhanced flexibility in producing fibre gratings with uniform phase mask , 1995 .

[21]  J. Azaña,et al.  Ultrafast all-optical first- and higher-order differentiators based on interferometers. , 2007, Optics letters.