  In this paper, we investigate the photothermal effects of the plasmon
resonance. Metal nanoparticles efficiently generate heat in the presence of
electromagnetic radiation. The process is strongly enhanced when a fixed
frequency of the incident wave illuminate on nanoprticles such that plasmon
resonance happen. We shall introduce the electromagnetic radiation model and
show exactly how and when the plasmon resonance happen. We then construct the
heat generation and transfer model and derive the heat effect induced by
plasmon resonance. Finally, we consider the heat generation under plasmon
resonance in a concentric nanoshell structure.
