In this letter, we show that both Debye poles and Lorentz pole pairs are special cases of
complex-conjugate pole-residue pairs, and the general form of such pairs is in fact far more …

In this first part of a two-part article we derive and discuss a novel theory for the (coupled)
spatio-temporal light-field and carrier dynamics of novel semiconductor lasers. Our …

The propagation of electromagnetic waves in general media is modeled by the time-
dependent Maxwell's partial differential equations (PDEs), coupled with constitutive laws …

The finite-difference time-domain (FDTD) method is a flexible and powerful technique for
rigorously solving Maxwell's equations. However, three-dimensional optical nonlinearity in …

The auxiliary differential equation finite-difference time-domain method for modeling
electromagnetic wave propagation in dispersive nonlinear materials is applied to problems …

A generalized auxiliary differential equation (ADE) finite-difference time-domain (FDTD)
dispersive scheme is introduced for the rigorous simulation of wave propagation in metallic …

The interaction of ultrashort laser pulses with dielectrics is associated with strong coupling
between the material response and the light. The ultrashort pulses excite the materials, and …

In this paper, time-domain finite element methods for the full system of Maxwell's equations
with cubic nonlinearities in 3D are presented, including a selection of computational …

In this paper we present a numerical method for solving a three-dimensional cold-plasma
system that describes electron gas dynamics driven by an external electromagnetic wave …

In this paper, we design a time-domain finite element (FETD) algorithm for solving Maxwell's
equations in third-order nonlinear media. The Cardano's method is used to solve the …