ABSTRACT
In the last years, optoelectronics and photonics became a new and important field in physics. The fundamental basis is the design of properly designed optical resonators with sizes from nanometers as for instance plasmonic nanostructures up to micrometers like a microdisk (MD) resonator or a photonic crystal cavity (PhCC). The range of applications is broad: those systems are already used for probing, investigating, and manipulating the fundamental physics of light-matter interaction. Devices for single photon generation, high finesse filters, slow light generation, and so on are also realized. Still, this is a current research topic in modern physics in the area of nanooptics, nanophotonics, and optoelectronics. But there is still a problem: if one wants to build devices which are operating in a specific regime, for instance coupling regime with embedded semiconductor heterostructures such as quantum dots (QDs), then this device has to be tested. To overcome trial-and-error procedures, numerical analysis became a crucial tool in designing optoelectronic
devices. Nowadays, large-scale computers and computer clusters allow simulations of various problems of optoelectronics and photonics and treat the electromagnetic together with dynamic material equations for large simulation volumes with nanoscalelevel spatial discretization for reliable results in acceptable times.
