Electrically tuned fractional-order temporal differentiator in silicon photonics

Bahrami-Chenaghlou, 2020, Full-wave analysis and design of optical fractional-order temporal differentiators based on ultra-compact microring resonator, J. Mod. Opt., 67, 880, 10.1080/09500340.2020.1786179 J. Dong, T. Yang, A. Zheng, X. Zhang, L. Zhou, L. Lu, and J. Chen, Tunable photonic differentiator and integrator with a silicon microring resonator, In IEEE/CIC International Conference on Communications, China (ICCC) IEEE. 121–123 (2014). Zheng, 2014, Fractional-order photonic differentiator using an on-chip microring resonator, Opt. Lett., 39, 6355, 10.1364/OL.39.006355 Podlubny, 1998 Khalil, 2014, A new definition of fractional derivative, J. Comput. Appl. Math., 264, 65, 10.1016/j.cam.2014.01.002 Oliveira, 2014, A review of definitions for fractional derivatives and integral, Math. Probl. Eng., 2014, 1, 10.1155/2014/238459 Shahoei, 2013, Photonic fractional-order differentiator using an SOI microring resonator with an MMI coupler, IEEE Photon. Technol. Lett., 25, 1408, 10.1109/LPT.2013.2266252 Jin, 2015, A comprehensive theoretical model for on-chip microring-based photonic fractional differentiators, Sci. Rep., 5, 14216, 10.1038/srep14216 Li, 2011, Continuously tunable photonic fractional temporal differentiator based on a tilted fiber Bragg grating, IEEE Photon. Technol. Lett., 23, 251, 10.1109/LPT.2010.2098475 Zheng, 2014, Tunable fractional-order differentiator using an electrically tuned silicon-on-isolator Mach-Zehnder interferometer, Opt. Express, 22, 18232, 10.1364/OE.22.018232 Huang, 2015, Terahertz-bandwidth photonic temporal differentiator based on a silicon-on-isolator directional coupler, Opt. Lett., 40, 5614, 10.1364/OL.40.005614 Van, 2017 Reed, 2010, Silicon optical modulators, Nat. Photon., 4, 518, 10.1038/nphoton.2010.179 Barrios, 2003, Electrooptic modulation of silicon-on-insulator submicrometer-size waveguide devices, J. Light. Technol., 21, 2332, 10.1109/JLT.2003.818167 2011 Visser, 1996, Confinement and modal gain in dielectric waveguides, J. Light. Technol., 14, 885, 10.1109/50.495172 Brimont, 2011, High speed silicon electro-optical modulators enhanced via slow light propagation, Opt. Express, 19, 20876, 10.1364/OE.19.020876 Huerta, 2006, Analysis of the electric field on the refractive-index change of an optical waveguide. In Integrated Optics, Silicon Photonics, and Photonic Integrated Circuits, Int. Soc. Opt. Photon., 6183, 61831N Soref, 1987, Electrooptical effects in silicon, IEEE J. Quantum Electron., 23, 123, 10.1109/JQE.1987.1073206 Soref, 1987, Kramers-Kronig analysis of electro-optical switching in silicon, Integr. Opt. Circt. Eng., 704, 32 Soref, 1986, All-silicon active and passive guided-wave components for λ= 1.3 and 1.6 µm, IEEE J. Quantum Electron., 22, 873, 10.1109/JQE.1986.1073057 Tseng, 2014, Design of digital Riesz fractional order differentiator, Signal Process., 102, 32, 10.1016/j.sigpro.2014.02.017 Bogaerts, 2012, Silicon microring resonators, Laser Photon. Rev., 6, 47, 10.1002/lpor.201100017 Feng, 2012, Silicon photonics: from a microresonator perspective, Laser Photon. Rev., 6, 145, 10.1002/lpor.201100020 Sahafi, 2019, All-optical trapping, relocation and manipulation of nanoparticles using SOI ring-resonators, J. Opt. Soc. Am. B, 36, 2178, 10.1364/JOSAB.36.002178 Habibzadeh-Sharif, 2013, Analysis and design of a rib-like-based slot waveguide for nonlinear silicon nanophotonics, J. Mod. Opt., 60, 891, 10.1080/09500340.2013.826294 Law, 2019, Demonstration of photonic micro‑ring resonator based digital bit magnitude comparator, Opt. Quantum Electron., 51, 1, 10.1007/s11082-018-1712-9 Liu, 2008, Compact optical temporal differentiator based on silicon microring resonator, Opt. Express, 16, 15880, 10.1364/OE.16.015880 Zhou, 2011, All-optical temporal differentiation of ultra-high-speed picosecond pulses based on compact silicon microring resonator, Electron. Lett., 47, 814, 10.1049/el.2011.0500 A. Pshenova, Strip-loaded ring resonators for sensing applications, M.S Thesis, Department of Physics and Mathematics. University of Eastern, Finland. 2017. Xu, 2008, Silicon microring resonators with 1.5-µm radius, Opt. Express, 16, 4309, 10.1364/OE.16.004309 Xu, 2005, Micrometre-scale silicon electro-optic modulator, Nat. Photon., 435, 325 Lipson, 2006, Compact electro-optic modulators on a silicon chip, IEEE J. Sel. Top. Quantum Electron., 12, 1520, 10.1109/JSTQE.2006.885341 Marom, 1984, Relation between normal-mode and coupled-mode analyses of parallel waveguides, IEEE J. Quantum Electron., 20, 1311, 10.1109/JQE.1984.1072326