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Título: |
Tensorial split-field finite-difference time-domain approach for second- and third-order nonlinear materials |
Autores: |
Francés Monllor, Jorge Tervo, Jani Márquez Ruiz, Andrés |
Fecha: |
2013-09-06 2013-09-06 2013-03-06 2013-05-30 |
Publicador: |
RUA Docencia |
Fuente: |
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Tipo: |
info:eu-repo/semantics/article |
Tema: |
SF-FDTD Second order nonlinear media Periodic media Third order nonlinear media Óptica Física Aplicada |
Descripción: |
The split-field finite-difference time-domain (SF-FDTD) method for one-dimensionally periodic structures is extended to include the coefficient-tensor description of second- and third-order nonlinear-optical media. A set of nonlinear equations related to the split-field values of the electric field is established. An iterative fixed-point approach for solving the coupled nonlinear system of equations needed to update the electric field components in the SF-FDTD is then developed. The third-order nonlinear susceptibility dispersion is also considered by means of the Raman effect and its implementation in the SF-FDTD scheme. Different scenarios are considered in order to verify the reliability of the method for simulating second- and third-order nonlinear-optical media. First, second-harmonic generation and its efficiency are investigated in a homogeneous layer with and without the quasi-phase-matching technique. Second, the nonlinear dispersion is analyzed by means of the generation of solitons in Kerr media due to the Raman effect. Last, a set of binary phase gratings with nonlinear pillars is considered under oblique incidence. Here the nonlinear refractive index is generated by different physical mechanisms modeled with the nonscalar third-order susceptibility. The work is partially supported by the Academy of Finland (project 118951), the Strategic Funding of the University of Eastern Finland, the “Ministerio de Economía y Competitividad” of Spain under project FIS2011-29803-C02-01, and the “Generalitat Valenciana” of Spain under projects PROMETEO/2011/021 and ISIC/2012/013. |
Idioma: |
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