S. Balsamo et al., DYNAMIC BEAM-PROPAGATION METHOD FOR FLARED SEMICONDUCTOR POWER-AMPLIFIERS, IEEE journal of selected topics in quantum electronics, 2(2), 1996, pp. 378-384
In this paper, we present the results of a dynamic two-dimensional tim
e-domain beam propagation method (two spatial dimensions plus time) fo
r simulating travelling wave semiconductor optical amplifiers with non
uniform transverse section in pulsed regime. Using the effective refra
ctive index method, the paraxial approximation and a moving timeframe,
we reduce the scalar wave equation to a nonlinear parabolic partial d
ifferential equation for the slow complex envelope of the electric fie
ld, Diffraction, refractive index dispersion up to the second order, g
ain saturation and gain dispersion are included in the model. We numer
ically solve the equation through a locally one-dimensional (LOD) meth
od employing both finite-difference techniques and FIT-based pseudospe
ctral methods.