Analytical description of a luminescent solar concentrator

A luminescent solar concentrator focuses solar light spectrally and spatially to convert it to electricity. Due to a large number of input parameters and their complex diva on the device efficiency, it is typically described by numerical simulations. Here, an analytical solution is presented, which significantly reduces the complexity of the optical efficiency evaluation. The equations were derived using probabilistic approach and validated by simulations. The implementation by a computer algebra program yields instant results for any set of input parameters. It allows a higher level of analysis, where an inverse task of finding parameters for a given efficiency can be readily solved. The obtained explicit expressions provide a dear standard for theoretical description of such devices. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement