1. Experimental demonstration of fractional order differentiation using a long-period grating-based in-fiber modal interferometer
- Author
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A. Carrascosa, L. Poveda-Wong, Miguel V. Andrés, Jose L. Cruz, and C. Cuadrado-Laborde
- Subjects
Optical fiber ,Ciencias Físicas ,Phase (waves) ,Physics::Optics ,02 engineering and technology ,Grating ,Mach–Zehnder interferometer ,01 natural sciences ,FRACTIONAL DIFFERENTIATION ,law.invention ,010309 optics ,020210 optoelectronics & photonics ,Optics ,law ,Fiber laser ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,Chirp ,Electrical and Electronic Engineering ,Physical and Theoretical Chemistry ,FIBER OPTICS ,Physics ,business.industry ,Atomic and Molecular Physics, and Optics ,Electronic, Optical and Magnetic Materials ,Pulse (physics) ,Astronomía ,Wavelength ,LONG-PERIOD GRATING ,business ,MACH–ZEHNDER ,CIENCIAS NATURALES Y EXACTAS - Abstract
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
- Published
- 2016
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