Abstract- Self-guided nonlinear propagation of an intense electromagnetic wave in a magnetized periodic array of nanoparticles is studied. Using a perturbative method, nonlinear equation describing laser-nanoparticles interaction in the weakly relativistic regime is derived. Transverse Eigen modes, nonlinear dispersion relation and group velocity are obtained. Effect of the amplitude of laser, separation and size of nanoparticles, the intensity of the external magnetic field and the laser polarization on the nonlinear dispersion and amplitude profile are investigated.

Keywords: Laser interaction, Magnetized periodic array, Nanoparticles, Nonlinear dispersion, Transverse Eigen modes

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