Modelling Axi-symmetric Travelling Waves in a Dielectric with Nonlinear Refractive Index |
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Authors: | C A Stuart |
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Institution: | (1) IACS - FSB, EPFL, CH, 1015 Lausanne, Switzerland |
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Abstract: | We consider an isotropic dielectric with a nonlinear refractive index. The medium may be inhomogeneous but its spatial variation has an axial symmetry. We characterize all monochromatic axi-symmetric travelling waves as solution of a system of six second order differential equations on (0, ). Boundary conditions at 0 ensure the regularity of the fields on the axis. Guided waves satisfy additional conditions at . Special solutions of this system correspond to what are normally referred to as TE and TM modes.Lecture held in the Seminario Matematico e Fisico on June 13, 2003Received: February, 2004 |
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Keywords: | 35Q60 78A60 34B16 |
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