M. Brunk, A. Jüngel:

"Simulation of thermal effects in optoelectronic devices using coupled energy-transport and circuit models";

in: "ASC Report 15/2007", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2007, ISBN: 978-3-902627-00-1.

A coupled model with optoelectronic semiconductor devices in electric circuits is proposed.

The circuit is modeled by differential-algebraic equations derived from modified

nodal analysis. The transport of charge carriers in the semiconductor devices (laser diode

and photo diode) is described by the energy-transport equations for the electron density

and temperature, the drift-diffusion equations for the hole density, and the Poisson equation

for the electric potential. The generation of photons in the laser diode is modeled by

spontaneous and stimulated recombination terms appearing in the transport equations.

The devices are coupled to the circuit by the semiconductor current entering the circuit

and by the applied voltage at the device contacts, coming from the circuit. The resulting

time-dependent model is a system of nonlinear partial differential-algebraic equations.

The one-dimensional transient transport equations are numerically discretized in time by

the backward Euler method and in space by a hybridized mixed finite-element method.

Numerical results for a circuit consisting of a single-mode heterostructure laser diode, a

silicon photo diode, and a high-pass filter are presented.

Laser diode, photo diode, electric circuits, energy-transport equations, driftdiffusion

http://www.asc.tuwien.ac.at/preprint/2007/asc15x2007.pdf

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