"Modern optoelectronic devices, in particular semiconductor lasers, have reached a stage where their further development based on the intuitive understanding of physical phenomena is almost impossible. This is due in part to the fact that quantum effects, which are generally unintelligible, Also, phenomena that are not accurately described in detail are likely to slip out of their intuition because of, for example, a very small, unprecedented time scale or spatial scale. With the help of the basic physics tool, mathematical modeling, you can gain knowledge of phenomena that are not directly measurable and thus extend your intuition. Once you consider quantum effects where they are significant, ie at least in active areas. In semiconductor lasers, electrical, thermal and optical effects affect one another in a very important way. A model that describes the operation of an entire instrument must link together models of these different phenomena and be able to perform calculations at an acceptable time. The presentation will be devoted to selected models used by the Photonics Team of the Technical University of Lodz for numerical modeling of semiconductor lasers. The physical basics of the models will be discussed as well as numerical issues related to the implementation of some of them. Among other things, the following will be presented: * Model of hyper-laser operation * Model of quantum states in super cascade lasers * Method of using undersized diffraction grating (HCG) to create a focusing mirror * Model of dynamic phenomena related to the capacity of laser in surface emission (VCSEL)

Photonics, physical basics of the models, Model of dynamic phenomena