6533b821fe1ef96bd127c326

RESEARCH PRODUCT

In-Fiber All-Optical Fractional Differentiator Using an Asymmetrical Moiré Fiber Grating

Lucas P. TendelaChristian A. Cuadrado-labordeMiguel V. Andrés

subject

Statistics and ProbabilityStatistical and Nonlinear PhysicsCiència dels materialsAnalysis

description

In this work, it is demonstrated numerically that an asymmetric Moiré fiber grating operated in reflection can provide the required spectral response to implement an all-optical fractional differentiator. In our case, the accumulated phase shift is not associated with a point phase shift, as when working with fiber Bragg gratings and long-period gratings with punctual defects, but is distributed all over the grating. The proposed device is supported by numerical simulations, and a dimensionless deviation factor is calculated to make quantitative analysis feasible. The performance of the proposed device is analyzed using numerical simulations by computing the fractional time derivatives of the complex field of an arbitrary transform-limited Gaussian pulse. A comparison with the performance given by theoretical differentiation is also presented.

10.3390/fractalfract7040291https://hdl.handle.net/10550/86827