Theoretical analysis and numerical calculations of light propagation in optical cavities

In our research group, in addition to a wide range of experiments with optical microcavities, we develop analytical models that reflect the exact numerical methods and experimental results.

Optical microcavity can be enriched by the presence of various materials, such as liquid crystals, transition metal dichalcogenides, organic dyes or fluorescent proteins that allow the creation of many fascinating types of interactions between the photons enclosed in the cavity and the excitons formed in the emitter region. The description of such interactions is complicated, therefore, in many cases it is possible to obtain only numerical solutions. Modelling using transfer matrix and Berreman methods is a crucial element of our work because it allows, inter alia, comparison of experimental data and existing theoretical models.

Furthermore, out of numerical part, extremely important is also purely analytical approach, because it gives an insight into the real nature of the phenomena, providing a better understanding of it. Therefore we develop analytical models that perfectly describe experimental results and show beautiful correspondence between the optics of single electromagnetic modes on one side and physics of condensed matter on another.

Broad applications of the optical microcavities, which have been previously proposed by our group, form a foundation of further more complex research, which is currently being intensively carried out. We believe that our hypotheses and models allowing a better understanding of observed phenomena, will open new, still unknown areas in the field of light-matter coupling, and will enable the use of our results for the construction of new light-based devices.