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We apply techniques of optimal control theory namely, the dynamic programming to the problem of light propagation in optical waveguides. The formulation is equivalent to the resolution of an eikonal equation. We illustrate this optimization technique for a gradient profile optical waveguide, i.e., an ideal parabolic refractive index profile distribution. We discuss the possibility of extending this procedure to other type of optical waveguides and optical media and implications in optical design.
Maria L. Calvo
"Dynamic programming: an alternative approach to light propagation in arbitrary optical media", Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 277841 (1 September 1996); https://doi.org/10.1117/12.2299027
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Maria L. Calvo, "Dynamic programming: an alternative approach to light propagation in arbitrary optical media," Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 277841 (1 September 1996); https://doi.org/10.1117/12.2299027