A time-domain algorithm for the analysis of second-harmonic generation in nonlinear optical structures

A FDTD algorithm for the analysis of short optical pulse second harmonic generation in dispersive media

“…Eventually, the two pulses seize to interact. The power exchange for the CW case [5] is shown in Figure 4 (thin line), for comparison. It should be pointed out here that selective dispersion is not a valid approximation of the dispersion relation at ultrashort optical pulse conditions, as shown in Figure 4 (dotted line).…”

“…The application of the FDTD algorithm prescribed by Eqs. (1) and (2) for modeling CW-SHG processes in nonlinear optical devices has been demonstrated in an earlier publication [5]. Being a time-domain model, it was noted there, however, that the model had a great potential in the analysis of short-pulse propagation.…”

“…The coupled nonlinear equations representing the propagating fundamental input, f, and the generated second harmonic field, s, inside a second order nonlinear optical structure are given by the following nonlinear wave equations [5] …”

“…The model is an extension of the work in Ref. 5, wherein CW inputs were considered. The formulation of the problem involves incorporating the frequency-dependent material dispersion in the time-domain SHG model.…”

Time-domain approach to parametric conversion: A comparative study on the impact of numerical dispersion

“…In this context, the Finite-Difference Time-Domain (FDTD) method (Yee 1966;Taflove 1995) is becoming increasingly popular due to its simplicity of implementation and flexibility. Different implementations of the FDTD algorithm have been considered for the description of dispersive properties of dielectric materials (Young and Nelson 2001), and applied to describe a wide variety of nonlinear phenomena as well (Goorjian and Taflove 1992;Ziolkowski and Judkins 1993;Bakker et al 1989;Hile and Kath 1998;Flesch et al 1996;Joseph and Taflove 1997;Koga 1999;Alsunaidi et al 2000;Bourgeade and Freysz 2000;Bennet and Aceves 2003;Conti et al 2004;Parini et al 2004;Iliew et al 2006). However, it is known that the discretization of Maxwell equations in time and space gives rise to a numerical-induced dispersion (Shlager et al 1993;Petropoulos 1994), which can alter the true dispersion relationship that one attempts to impose (e.g.…”