Modeling of spontaneous emission in presence of cylindrical nanoobjects: the scattering matrix approach br

We propose a method of analysis of spontaneous emission of a quantum emitter (an atom, a luminescence center, a quantum dot) inside or in vicinity of a cylinder. At the focus of our method are analytical expressions for the scattering matrix of the cylindrical nanoobject. We propose the approach to electromagnetic field quantization based of eigenvalues and eigenvec-tors of the scattering matrix. The method is applicable for calculation and analysis of spontane-ous emission rates and angular dependences of radiation for a set of different systems: semicon-ductor nanowires with quantum dots, plasmonic nanowires, cylindrical hollows in dielectrics and metals. Relative simplicity of the method allows obtaining analytical and semi-analytical expressions for both cases of radiation into external medium and into guided modes