Jiezhou Liu

Date of Award


Degree Name

Master of Arts



First Advisor

Dr. Arthur McGurn

Second Advisor

Dr. Sung Chung

Third Advisor

Dr. Lisa Paulius

Access Setting

Masters Thesis-Open Access


The concepts of band theory for electrons can be employed to describe the behavior of electromagnetic waves propagaiting in periodic dielectric structures with a frequency independent dielectric function. These periodic structures can produce photonic band gaps in which the propagation of electromagnetic waves is strictly prohibited. The introduction of a frequency dependent dielectric function in such systems gives rise to strong changes of the photonic bands in the neighborhood of the frequency resonance of the dielectric function.

In my thesis, the photonic band structure of a dielectric system with a frequency dependent dielectric function which undergoes a dielectric resonance will be studied. The transmittance and dispersion relation in the presence of periodic dielectric slabs will be derived theoretically and calculated numerically. Comparison with results for systems in the absence of dielectric resonance will be made.

Included in

Physics Commons