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

fYear

2011

fDate

26-30 June 2011

Firstpage

1

Lastpage

4

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Transparent Optical Networks (ICTON), 2011 13th International Conference on

Conference_Location

Stockholm

ISSN

2161-2056

Print_ISBN

978-1-4577-0881-7

Electronic_ISBN

2161-2056

Type

conf

DOI

10.1109/ICTON.2011.5971012

Filename

5971012