Finite difference time domain analysis of photonic band gap structures in one and two dimensions
AuthorFranson, Steven James, 1974-
AdvisorZiolkowski, Richard W.
MetadataShow full item record
PublisherThe University of Arizona.
RightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
AbstractDielectric and magnetic structures which inhibit the propagation of light for a given frequency range at any angle of incidence are said to have a photonic band gap (PBG). By placing defects inside of these PBG structures, useful devices can be constructed including micro-cavity lasers and nanometer scale waveguides. This thesis is concerned with the evaluation of these PBGs in order to obtain an understanding of how they work, as well as developing new methods to evaluate them. The photonic band gap configurations are modeled with the Finite Difference Time Domain (FDTD) method in one and two dimensions. By modeling these structures in the time domain, the finite amount of time that it takes to establish the photonic band gaps may be observed. Also, methods using the Fast Fourier Transform in combination with the FDTD algorithm are capable of determining the frequency spectrum of a structure with little computation time.
Degree ProgramGraduate College
Electrical and Computer Engineering