Metallic and dielectric photonic crystal filter design using multiple multipole program and model-based parameter estimation methods.

Ultra compact photonic crystal filters with and without metallic parts operating at telecommunication wavelengths are designed using the multiple multipole program combined with the model-based parameter estimation technique. Material loss is taken into account and measured material properties are employed for practical design considerations. Stochastic and deterministic optimization techniques are applied to obtain optimum filter characteristics.

Efficient procedures for the optimization of defects in photonic crystal structures.

Seven different stochastic binary optimizers--based on the concepts of genetic algorithms and evolutionary strategies--are developed, applied to determine defect locations in several photonic crystal structures that serve as test cases, and compared by extensive statistical analysis. In addition to the stochastic optimizers, a quasi-deterministic optimizer based on an algorithm inspired by hill-climbing algorithms was implemented. The test cases include the prominent 90 degrees photonic crystal waveguide bend and a photonic crystal power divider.