Requisite(s): 35482 Boundary Value Problems AND 35436 Advanced Mathematical Methods
These requisites may not apply to students in certain courses. See access conditions.
This is a foundation graduate-level subject intended to prepare students for research studies in which electromagnetic wave theory is a key component of the knowledge base. This particular subject has a strong emphasis on optics and photonics, motivated by a number of paradigm problems of interest in contemporary photonics research. Particular topics include: Maxwell's equations; diffraction by a single scatterer, a finite collection of scatterers and periodic media. Electromagnetic diffraction grating theory. Periodicity and Bloch conditions. Green's functions and integral equation methods. Eigenfunction/model methods. Multipole methods. Energy conservation and reciprocity. Stratified media-planar, cylindrical. Phonic crystals in ID (Kronig-Penny model) and 2D (transfer matric and eigenvalue equation methods).