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arxiv: 1706.04120 · v1 · pith:C6O4HDQCnew · submitted 2017-06-13 · ⚛️ physics.class-ph

Solutions of the Helmholtz equation given by solutions of the eikonal equation

classification ⚛️ physics.class-ph
keywords equationeikonalhelmholtzsolutionsolutionscorrespondingexactfind
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We find the form of the refractive index such that a solution, $S$, of the eikonal equation yields an exact solution, $\exp ({\rm i} k_{0} S)$, of the corresponding Helmholtz equation.

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