Applications Of Photon Closed-orbit Theory To Oscillations In The Spontaneous Or Fluorescence Emission Rate Of Atoms Or Molecules In A Dielectric Slab System

In the paper, it is discussed by the use of Photon closed-orbit theory that the spontaneous or fluorescence emission rate of atoms or molecules shows to exhibit a periodic damping oscillation. There are two parts of our work mainly.In the first part, atoms are out of the dielectric slab, with the assumption of random orientation of the atomic dipole moment, the spontaneous emission rate of atoms is calculated by quantum electrodynamics, and results show to exhibit periodic damping oscillations when the system size is varied. With the help of Fourier transforms, we extract four oscillation frequencies. These frequencies appear periodically, and they agree well with the results predicted by photon closed orbit theory.In the second part, the fluorescence intensity of terrylene molecule is measured in an experiment, the result shows that the fluorescence intensity exhibits a periodic damping oscillation when the position of mirror coated with silver is varied. We attempt to obtain one theoretical formula from the photon closed orbit theory for the first time. With the help of Non-linear Curve fitting, the result of theoretical fit is reasonable agreement with intensity datas in the experiment.In the end, the photon closed-orbit theory explains the oscillation in the spontaneous or fluorescence emission rate of atoms or molecules in a dielectric slab system successfully, and it also provides a new simple perspective to understand the oscillation.