Abstract
In this paper propagation of stationary hybrid TE-TM electromagnetic fields through nonlinear Kerr dielectric is considered. The nonlinear material equations are generalized to contain the phase shift between TE and TM components. The resulting system of Maxwell's and material equation is solved numerically. The shape of the field as function of the mechanism of Kerr nonlinearity, propagation constant, quotient of the TE to TM component and phase shift between them is discussed. The solutions of spatial soliton form are thoroughly analyzed. The approximate solution of the equations describing fundamentals hybrid solitons is obtained. The accuracy of the approximation is discussed.
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