HYBRID FDTD/FETD TECHNIQUE USING PARAMETRIC QUADRATIC PROGRAMMING FOR NONLINEAR MAXWELL'S EQUATIONS | Zendy

Hongxia Li | Zendy; Bao Zhu | Zendy; Jiefu Chen | Zendy

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HYBRID FDTD/FETD TECHNIQUE USING PARAMETRIC QUADRATIC PROGRAMMING FOR NONLINEAR MAXWELL'S EQUATIONS

Author(s) -

Hongxia Li,

Bao Zhu,

Jiefu Chen

Publication year - 2017

Publication title -

progress in electromagnetics research m

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 31

ISSN - 1937-8726

DOI - 10.2528/pierm16112207

Subject(s) - finite difference time domain method , maxwell's equations , quadratic equation , nonlinear system , parametric statistics , mathematics , electromagnetic field solver , physics , mathematical analysis , electromagnetic field , inhomogeneous electromagnetic wave equation , optics , quantum mechanics , optical field , statistics , geometry

A nonlinear hybrid FDTD/FETD technique based on the parametric quadratic programming method is developed for Maxwell’s equations with nonlinear media. The proposed technique allows nonconforming meshes between nonlinear FETD and linear FDTD subdomains. The coarser structured cells of FDTD are used in regular, large and linear media, whereas smaller unstructured elements of FETD based on the parametric quadratic programming method are used to simulate complicated structures with nonlinear media. This hybrid technique is particularly suitable for structures with small nonlinear regions in an otherwise linear medium. Numerical results demonstrate the validity of the proposed method.

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