title: All-optical computation system for solving differential equations based on optical intensity differentiator.
abstract: We propose and experimentally demonstrate an all-optical differentiator-based computation system used for solving constant-coefficient first-order linear ordinary differential equations. It consists of an all-optical intensity differentiator and a wavelength converter, both based on a semiconductor optical amplifier (SOA) and an optical filter (OF). The equation is solved for various values of the constant-coefficient and two considered input waveforms, namely, super-Gaussian and Gaussian signals. An excellent agreement between the numerical simulation and the experimental results is obtained.
authors.affiliation: Wuhan National Laboratory for Optoelectronics & School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Sisi
authors.initials: S
authors.lastname: Tan
authors.forename: Zhao
authors.initials: Z
authors.lastname: Wu
authors.forename: Lei
authors.initials: L
authors.lastname: Lei
authors.forename: Shoujin
authors.initials: S
authors.lastname: Hu
authors.forename: Jianji
authors.initials: J
authors.lastname: Dong
authors.forename: Xinliang
authors.initials: X
authors.lastname: Zhang
mesh_terms: D003198:Computer Simulation; D017076:Computer-Aided Design; D008433:Mathematics; D008962:Models, Theoretical; D010783:Photometry / Q000295:instrumentation*