Date of Award


Degree Name

Master of Arts



First Advisor

Dr. Arthur McGurn

Second Advisor

Dr. M. Soga

Third Advisor

Dr. L. D. Oppliger

Access Setting

Masters Thesis-Open Access


The concepts of band theory for electrons can be employed to describe the behavior of electromagnetic waves propagating in two-dimensional, periodic dielectric structures. These two-dimensional, periodic structures can produce photonic band gaps in which the spontaneous emission by atoms embedded in the structure is prohibited and as a result the performance of many semiconductor devices can be enhanced. The calculations are based on finding the eigenvalues of the algebraic equation for the frequencies of electromagnetic waves moving in a square lattice composed of square dielectric rods with different dielectric constants.