Abstract

The design and the simulation of tunable fractional-order temporal differentiators based on Si-hybrid plasmonic phase-shifted Bragg gratings are proposed in this paper, where strong light confinement in the hybrid plasmonic waveguide is employed to significantly reduce the overall length of the differentiators. According to 2D- and 3D-FDTD simulation results, the proposed structures with overall lengths of less than 8 μm can provide arbitrary differentiation order and differentiation bandwidths as high as 1.6 THz. The differentiation order and the bandwidth of the proposed structures can be tuned in relatively wide ranges by changing the geometrical parameters of the structures. For example, the differentiation order can be changed from 0.57 to 0.97 by changing the number of the Bragg grating periods in a 3D differentiator structure. Furthermore, it is shown that using an electro-optical polymer as the low-index material of the hybrid plasmonic waveguide, the differentiation order and the central frequency of the proposed differentiators can be actively tuned through applying a proper actuating electrical field (voltage) to the structure. This property, along with the ultracompact footprint and wide bandwidth of the proposed differentiators, suggest their application in ultrafast all-optical signal-processing systems.

© 2018 Optical Society of America

Subpicosecond flat-top pulse shaping using a hybrid plasmonic microring-based temporal differentiator

Azadeh Karimi, Abbas Zarifkar, and Mehdi Miri
J. Opt. Soc. Am. B 36(7) 1738-1747 (2019)

Design and comprehensive analysis of an ultra-fast fractional-order temporal differentiator based on a plasmonic Bragg grating microring resonator

Afshin Ahmadpour, Amir Habibzadeh-Sharif, and Faezeh Bahrami-Chenaghlou
Opt. Express 29(22) 36257-36272 (2021)

Design of high-order all-optical temporal differentiators based on multiple-phase-shifted fiber Bragg gratings

Mykola Kulishov and José Azaña
Opt. Express 15(10) 6152-6166 (2007)

Ultracompact temporal integrator using graphene-based long-range hybrid plasmonic waveguides

Azadeh Karimi, Abbas Zarifkar, and Mehdi Miri
Appl. Opt. 60(23) 6736-6741 (2021)

Design of an all-optical fractional-order differentiator with terahertz bandwidth based on a fiber Bragg grating in transmission

Xin Liu and Xuewen Shu
Appl. Opt. 56(24) 6714-6719 (2017)