Abstract:
The theoretical study of the power spectrum of Cherenkov radiation is mostly based on electrodynamics theory. However, quantum theory has been slightly applied in the radiation investigation, especially source theory. Thus, this dissertation aims to apply source theory to calculate the power spectrum of Cherenkov radiation in two cases. First is the power spectrum of massive photons at a finite temperature caused by a charged electron moving through a dielectric medium. Second, the power spectrum of massless and massive photons at a finite temperature is caused by a two-charge electron system moving through the medium. For calculation, we start with finding the propagator of massive photons at finite temperatures in the medium. Then, we calculate the action of the massive electromagnetic field. Finally, we can derive the power spectrum from the action. The results found that the power spectrum in water at 0 and 20 °C has almost no difference, while the power spectrum at 50, 80, and 100 °C has decreased slightly, respectively. We also found that the photon mass, the velocity, and the distance between two charges affect the power spectrum. The results illustrate the potential of source theory in calculating the power spectrum of Cherenkov radiation.