Time-domain large-signal investigation on nonlinear interactions between an optical pulse and semiconductor waveguides

Comprehensive Finite-Difference Time-Dependent Beam Propagation Model of Counterpropagating Picosecond Pulses in a Semiconductor Optical Amplifier

“…the computational effort required for the fine division in space and time, it can be an unstable method [33]. Recently, Chi et al [26] has used the first-order forward finite difference (FDM) for solving coupled basic pulse propagation equations in the counterpropagating regime. In this method, however, if some nonlinear terms of the MNLSE such as gain dispersion and GVD are included, the finite-difference approach can not be used to solve the resulting modified equation.…”

“…In these models, GVD and carrier dependency of the gain peak wavelength are neglected, which leads to large error in predicating the FWM pulse resulting from mixing between pulses with large detuning. Recently in [26], a new analysis method of counterpropagating optical pulses in SOA has been proposed. This time-domain model does not consider important nonlinear effects including SHB, CH, TPA, and gain dispersion, so it can not be reliable for modeling picosecond and subpicosecond counterpropagating pulses in SOAs.…”

Theoretical Analysis of Directly Modulated Reflective Semiconductor Optical Amplifier Performance Enhancement by Microring Resonator-Based Notch Filtering

“…Then, the knowledge of h(t) and of its derivative at a given pulse instant "i", h p,i and dh p,i /dt, respectively, allows one to calculate the value, h(t + ∆t), at the next discrete moment, h p,i+1 , according to Euler's numerical method. This method is suitable for studying the response of semiconductor active waveguide devices, such as the RSOA, to an electrical excitation of piecewise varying nature, such as the injection current NRZ pulses, as it converges rather fast while producing reasonable results [39]. The initial conditions required for running this process are (a) h 1,1 =ḡ 0 L, whereḡ 0 = ΓaN 0 (I bias − I m )/I 0 − 1 is the RSOA steady-state gain coefficient.…”

Transient Time-Dependent Electric Field of Dielectric Bodies Using the Volterra Integral Equation in Three Dimensions

“…Therefore whenever both the observation point, r i , and source point, r j , are inside the scatterer V , the principal value must be taken for the integral in (3) and the singularity of the Green's tensor treated analytically. Algorithmically, the corresponding value of this singular region coincide with, E(N t ∆t, r i ), the unknown nodal field value currently being evaluated and therefore is transformed to the left hand side of (2). For an arbitrary volumetric region containing R Singi=j the corresponding analytical solution is obtained using the analysis described in [46], for a polyhedron, whereas for the specific rectangular case, the more simplified approach for a cube is detailed in [47].…”

“…The ability to accurately and cost-effectively simulate electromagnetic wave interactions with penetrable bodies containing a diverse range of feature sizes having boundaries that are curved or non-tangential to the coordinate axes of complex and/or time varying material response is of significant practical interest for many applications in photonics and optoelectronics [1,2]. Other important areas of interest including broadband response, optical behaviour, identification, bioelectromagnetic applications [3], imaging and chemical identification processes [4].…”