28 September 2007 The effects of dispersion, diffraction, and nonlinearity management in negative index materials
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Abstract
We analyze linear and nonlinear propagation in negative index materials by starting from a dispersion relation and by deriving the underlying partial differential equations (PDEs). Transfer function for propagation is also derived in spatial frequency domain. Using existing numerical methods, based on fast Fourier-Bessel transforms, we study the stability of the solitary wave solutions. Nonlinearity and dispersion management are then incorporated to find stable solutions of the underlying PDEs.
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Partha P. Banerjee, Partha P. Banerjee, G. Nehmetallah, G. Nehmetallah, } "The effects of dispersion, diffraction, and nonlinearity management in negative index materials", Proc. SPIE 6638, Photonic Metamaterials, 66380F (28 September 2007); doi: 10.1117/12.734992; https://doi.org/10.1117/12.734992
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