FDTD analysis of wave propagation in nonlinear absorbing and gain media

Selective lasing in multimode periodic and non‐periodic nanopillar waveguides

“…Here the external pumpimg is modeled by the phenomenological pumping rate W p , which transfers electrons from the ground level to the uppermost level [22,23]. The macroscopic polarization P a (r, t) of the medium is governed in each spatial point by the equation of motion,…”

“…4 The fragment of the four-row waveguide with the coaxial terminal along with the schematic illustration of the transverse envelope of the seeding signal jy(x) as excited in the terminal. [22,24]. The electromagnetic fields are governed by the usual Maxwell equations,…”

Numerical Simulation of Lasing Dynamics in Choresteric Liquid Crystal Based on ADE-FDTD Method

“…In order to investigate lasing dynamics, ADE-FDTD approaches have also been developed, in which the FDTD method is usually coupled with the rate equation in a four-level energy structure and the equation of motion of polarization (Nagra & York, 1998) as schematically shown in Fig. 4.…”

Coupled nanopillar waveguides optical properties and applications

“…To achieve population inversion we have chosen the following values for the non-radiative transition times, τ 32 ≃ τ 10 ≪ τ 21 , with τ 31 = τ 10 = 1 × 10 −13 s, τ 21 = 3 × 10 −10 s, and the total level population is N total = 10 24 per unit cell [40]. The Maxwell equations are solved using FDTD scheme supplemented by the usual equation of motion for the polarization density in the medium and by the laser rate equations [40][41][42][43]. All calculations were done for TM polarization.…”