In-Fiber All-Optical Fractional Differentiator

CUADRADO LABORDE, CHRISTIAN; ANDRES BOU, MIGUEL

OPTICS LETTERS

Optical Society of America (OSA)

Lugar: Washington; Año: 2009 vol. 34 p. 833 - 835

0146-9592

We demonstrate that an asymmetrical π phase-shifted fiber Bragg grating operated in reflection can provide the required spectral response for implementing an all-optical fractional differentiator. There are different (but equivalent) ways to design it, e.g., by using different gratings lengths and keeping the same index modulation depth at both sides of the π phase shift, or vice versa. Analytical expressions were found relating the fractional differentiator order with the grating parameters. The device shows a good accuracy calculating the fractional time derivatives of the complex field of an arbitrary input optical waveform. The introduced concept is supported by numerical simulations.© 2009 Optical Society of America