SPLIT-FIELD FINITE-DIFFERENCE TIME-DOMAIN SCHEME FOR KERR-TYPE NONLINEAR PERIODIC MEDIA | Zendy

Jorge Francés | Zendy; Jani Tervo | Zendy; Cristian Neipp | Zendy

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SPLIT-FIELD FINITE-DIFFERENCE TIME-DOMAIN SCHEME FOR KERR-TYPE NONLINEAR PERIODIC MEDIA

Author(s) -

Jorge Francés,

Jani Tervo,

Cristian Neipp

Publication year - 2013

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier12101514

Subject(s) - nonlinear system , type (biology) , scheme (mathematics) , field (mathematics) , kerr effect , physics , domain (mathematical analysis) , mathematical analysis , mathematics , pure mathematics , quantum mechanics , geology , paleontology

The Split-Field Finite-Difference Time-Domain (SF-FDTD) formulation is extended to periodic structures with Kerr-type nonlinearity. The optical Kerr effect is introduced by an iterative fixed-point procedure for solving the nonlinear system of equations. Using the method, formation of solitons inside homogenous nonlinear media is numerically observed. Furthermore, the performance of the approach with more complex photonic systems, such as high-reflectance coatings and binary phase gratings with high nonlinearity is investigated. The static and the dynamic behavior of the Kerr effect is studied and compared to previous works.The work is partially supported by the Academy of Finland (project 118951), the Strategic Funding of the University of Eastern Finland, by the "Ministerio de Economía y Competitividad" of Spain under project FIS2011-29803-C02-01 and by the "Generalitat Valenciana" of Spain under projects PROMETEO/2011/021 and ISIC/2012/013

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