Wave Propagation in Linear and Nonlinear Photonic Band-Gap Materials
Final progress rept. 1 Dec 1999-31 Mar 2003
DUKE UNIV DURHAM NC DEPT OF MATHEMATICS
Pagination or Media Count:
Numerical Codes and Analysis Simulation and analysis of 2D resonant phenomena in photonic crystal slabs through the study of dispersion relations of bulk medium and surface waves along the crystal using the boundary integral method. Development of 3D boundary element code for EM scattering off photonic crystal slabs. Development of 2D FDTD code that includes nonlinearities and use in studying resonant phenomena. Nonlinear Effects Derivation of the solution of the initial value problem of the small dispersion Nonlinear Schroedinger equation in the semi-classical limit. Study of 13 resonance in PBG circuit analogue. Constrained optimization of photonic crystal structures. Determination of the geometry that optimizes a certain resonance under given geometric constraints.
- Numerical Mathematics
- Electricity and Magnetism