The effects of dispersion, diffraction, and nonlinearity management in negative index materials

Partha P. Banerjee; G. Nehmetallah

doi:10.1117/12.734992

28 September 2007 The effects of dispersion, diffraction, and nonlinearity management in negative index materials

Partha P. Banerjee, G. Nehmetallah

Proceedings Volume 6638, Photonic Metamaterials; 66380F (2007) https://doi.org/10.1117/12.734992
Event: NanoScience + Engineering, 2007, San Diego, California, United States

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.

Citation Download Citation

Partha P. Banerjee and G. Nehmetallah "The effects of dispersion, diffraction, and nonlinearity management in negative index materials", Proc. SPIE 6638, Photonic Metamaterials, 66380F (28 September 2007); https://doi.org/10.1117/12.734992

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