Title :
Modeling of structures with curved boundaries: applied to the determination of band structures in photonic crystals
Author_Institution :
Fern Univ., Hagen, Germany
Abstract :
We show how waveguide structures with curved boundaries can be modeled by lines of varying length. The formulas are applied to the determination of band structures in photonic crystals, showing an improvement of accuracy, compared to the staircase approximation.
Keywords :
method of lines; photonic band gap; photonic crystals; wave equations; waveguide theory; curved boundary structure modeling; method of lines; photonic band structures; photonic crystals; wave equation; waveguide structures; Differential equations; Finite difference methods; Magnetic fields; Microwave theory and techniques; Optical computing; Optical reflection; Optical waveguides; Partial differential equations; Photonic crystals; Transmission line matrix methods;
Conference_Titel :
Transparent Optical Networks, 2004. Proceedings of 2004 6th International Conference on
Print_ISBN :
0-7803-8343-5
DOI :
10.1109/ICTON.2004.1360257