Abstract
We present the general solution of Maxwell's equations for TE modes in a dielectric medium characterized by an intensity dependent dielectric constant of the form ε = ε<sub>1</sub> α|<i>E</i>|<sup>2</sup> + γ|<i>E</i>|<sup>4</sup>. The solution is obtained for a bounded fifth-order nonlinear dielectric medium (i.e., for a film) that has been shown to lead in the limiting forms to the known solutions for the unbounded case (i.e., the medium forming a cladding or a substrate) and the solutions for the Kerr case (both bounded and unbounded cases).
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