In-Fiber Fractional Signal Processing: Recent Results and Applications

The implementation of mathematical operators using photonic signal processing –as for example, conventional differentiators and integrators– is particularly well suited to overcome the speed and bandwidth limitations of electronics. In the Laboratory of Fiber Optics of the University of Valencia we work on the development of in-fiber time-domain fractional operators and their applications. In the last years we have made some specific proposals to perform photonic fractional differentiation (PFD), photonic fractional integration (PFI), photonic fractional Hilbert transform (PFHT), and photonic fractional Fourier transform (PFFT), using fiber-based technologies. Recently, we have been able to implement experimentally some of these theoretical proposals, and we have found specific applications for the 0.5th-order differentiation and the photonic fractional Fourier transform in the area of phase recovery of optical pulses.

[1]  C. Cuadrado-Laborde,et al.  In-fiber all-optical fractional differentiator. , 2009, Optics letters.

[2]  M A Muriel,et al.  Real-time Fourier transformer based on fiber gratings. , 1999, Optics letters.

[3]  M. Andrés,et al.  Proposal and design of an in-fiber all-optical fractional integrator , 2010 .

[4]  Fabrication of long period fiber gratings of subnanometric bandwidth. , 2017, Optics letters.

[5]  Miguel V. Andrés,et al.  Analog photonic fractional signal processing , 2018 .

[6]  Nam Quoc Ngo,et al.  Design of an optical temporal integrator based on a phase-shifted fiber Bragg grating in transmission. , 2007 .

[7]  M. Andrés,et al.  Long-period grating assisted fractional differentiation of highly chirped light pulses , 2016 .

[8]  M. Andrés,et al.  Experimental demonstration of fractional order differentiation using a long-period grating-based in-fiber modal interferometer , 2016 .

[9]  M. Andrés,et al.  Photonic fractional Fourier transformer with a single dispersive device. , 2013, Optics express.

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

[11]  P. Pérez-Millán,et al.  Phase recovery by using optical fiber dispersion. , 2014, Optics letters.

[12]  Miguel V. Andrés,et al.  Design of an ultra-broadband all-optical fractional differentiator with a long-period fiber grating , 2011 .

[13]  Instantaneous frequency measurement by in-fiber 0.5th order fractional differentiation , 2016 .