Title :
Techniques for embedding non-linear materials in TLM
Author :
Dantanarayana, Harshana G. ; Meng, Xuesong ; Sewell, Phil ; Vukovic, Ana ; Benson, Trevor M.
Author_Institution :
George Green Inst. for Electromagn. Res., Univ. of Nottingham, Nottingham, UK
Abstract :
Non-linear materials are central to many useful integrated photonics applications. Increasingly complex geometries have to be dealt with in full-wave numerical electromagnetic simulators. In this paper we discuss and present techniques for embedding non-linear material response into one such numerical technique, the Transmission Line Modelling (TLM) Method. We discuss the progression from 1D through to 3D problems using Cartesian geometry as well as the migration to unstructured (triangular, tetrahedral) mesh algorithms.
Keywords :
Maxwell equations; integrated optics; optical Kerr effect; optical materials; Cartesian geometry; Kerr nonlinearity; Maxwell equations; full-wave numerical electromagnetic simulator; integrated photonic applications; nonlinear optical materials; tetrahedral mesh algorithm; transmission line modelling method; triangular mesh algorithm; unstructured mesh algorithms; Materials; Mathematical model; Numerical models; Power transmission lines; Three dimensional displays; Time domain analysis; Time varying systems; Bragg reflector; circular resonators; non-linear analysis; transmission line modelling method; triangular and tetrahedral meshes;
Conference_Titel :
Transparent Optical Networks (ICTON), 2011 13th International Conference on
Conference_Location :
Stockholm
Print_ISBN :
978-1-4577-0881-7
Electronic_ISBN :
2161-2056
DOI :
10.1109/ICTON.2011.5971012
