6533b850fe1ef96bd12a832a

RESEARCH PRODUCT

Experimental demonstration of fractional order differentiation using a long-period grating-based in-fiber modal interferometer

A. CarrascosaL. Poveda-wongMiguel V. AndrésJose L. CruzC. Cuadrado-labordeC. Cuadrado-laborde

subject

Optical fiberCiencias FísicasPhase (waves)Physics::Optics02 engineering and technologyGratingMach–Zehnder interferometer01 natural sciencesFRACTIONAL DIFFERENTIATIONlaw.invention010309 optics020210 optoelectronics & photonicsOpticslawFiber laser0103 physical sciences0202 electrical engineering electronic engineering information engineeringChirpElectrical and Electronic EngineeringPhysical and Theoretical ChemistryFIBER OPTICSPhysicsbusiness.industryAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsPulse (physics)AstronomíaWavelengthLONG-PERIOD GRATINGbusinessMACH–ZEHNDERCIENCIAS NATURALES Y EXACTAS

description

In this work we demonstrate both, experimentally and theoretically, that a long-period grating-based in-fiber modal interferometer can perform an all-optical arbitrary-order fractional differentiation. Experimentally, we fractionally differentiated to the 0.5th order a secant hyperbolic-like pulse of 23 ps time width provided by a 1039.5 nm emission wavelength modelocked fiber laser, with a chirp parameter of −30. An analytical expression relating the fractional order of differentiation n with the characteristics of the modal interferometer was also derived, with the purpose to simplify the design procedure. The proposal was corroborated also numerically. This device may find applications in real time phase recovery. Fil: Poveda Wong, L.. Universidad de Valencia; España Fil: Carrascosa, A.. Universidad de Valencia; España Fil: Cuadrado Laborde, Christian Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina Fil: Cruz, J.L.. Universidad de Valencia; España. Universidad Catolica Argentina; Argentina Fil: Andrés, M.V.. Universidad de Valencia; España

https://doi.org/10.1016/j.optcom.2016.05.083