We present a new simulation technique for Distributed Feedback lasers in 2D. The method is based on recently
developed Trigonometric Finite Wave Elements (TFWEs) that approximate oscillating and internally reflected
optical waves. Since our method is derived from the Transfer Matrix Method (TMM), the TFWE method
provides exactly the same results as the TMM for 1D problems but it can be extended to higher dimensions and
to time-dynamic simulations. Therefore, large laser structures and the influence of the injected current can be
simulated time-dynamically. Furthermore, the wavelengths of the competing modes can be detected using the
Fast Fourier Transformation.
The Transfer Matrix Method (TMM) is the standard method for simulating resonators with internal reflections
occurring in Distributed Feedback (DFB) lasers and other laser types. A restriction of this method is that it
cannot be applied to two dimensions or to time-dynamic simulations. We present a new Finite Element approach
which can be treated as a generalization of the TMM in two or three dimensions. Furthermore, it can be used
for time-dynamic problems as well as for large, tapered structures. We apply it to the time-dynamic simulation
of the optical wave in DFB lasers and show numerical results.
In this paper, we present a method for a 3D-simulation of the population inversion and photon density in a solid state laser. The method approximates the electrical field distribution of the beam by a finite number of eigenmodes. These modes can be computed by a Gauss mode analysis. The population inversion is approximated by a finite volume discretization. Using the classical rate equations, we derive suitable rate equations for the discretized population inversion and the eigenmodes of a laser. The simulation results show the influence of the pump configuration to the distribution of the eigenmodes. Therefore, the new simulation method can be used to optimize the beam quality of a solid state laser.