Nonlinear planar waveguides with gracled-index core: power series solution |
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Authors: | R. A. Sammut |
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Affiliation: | (1) Department of Mathematics, University College, University of New South Wales, 2600 Canberra, ACT, Australia |
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Abstract: | Abstact Solutions are presented for a class of nonlinear, planar waveguides with graded-index linear film and nonlinear cladding and/or substrate. The solutions are based on a powerseries expansion for the field in the core and, for several interesting examples, can be expressed explicitly - without the need to solve any eigenvalue equation. For more general problems, the solution can be described in a form that is directly analogous to that for the asymmetric step-index waveguide. Some interesting differences between the mocles of the step-and graded-index waveguides are illustrated. |
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