Determination of dispersion diagram of symmetric modes for the cylindrical magnetoplasmonic waveguides

In this paper the characteristic equation for the magnetoplasmonic cylindrical waveguide will be formulated and solved. The effect of cylinder radius and the static magnetic field on the propagation constant are investigated. It is seen that, despite the isotropic cylindrical wave guide, there is not pure TE and TM mode for the symmetric modes and there are two propagation mode. Numerical experiments shows that, there is not unique solution for the propagation constants, and propagation constants may depends on cylinder radius and the bias field. Reversing the DC field direction, does not show any change propagation constant and therefore does not exist Faraday rotation for this structure.