All-Optical Ultrafast Fractional Differentiator

CUADRADO LABORDE, CHRISTIAN

OPTICAL AND QUANTUM ELECTRONICS

Springer

Lugar: Berlin; Año: 2008 vol. 40 p. 983 - 990

0306-8919

 In this work we present a technique for the implementation of an ultrafast all-optical temporal differentiator. A photonic Mach–Zehnder interferometer can provide the required spectral response for fractional differentiation within certain fractional order extent. This device shows a good accuracy calculating the fractional time derivatives of the complex field of an arbitrary input optical waveform. Analytical expressions were found relating the photonic Mach–Zehnder parameters and the required spectral characteristics of the differentiator for integer and fractional operation. The introduced concept is supported by numerical simulations.