Browsing Department of Mathematics by Subject "Fermat's principle"
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Minimum Path Problems in Normed Spaces, Reflection and Refraction
(University of Texas at ArlingtonDepartment of Mathematics, 1996)**Please note that the full text is embargoed** ABSTRACT: The main minimum (or extremum) path problem in this paper deals with the "law of refraction" at a curve separating the plane into two parts with different norms. ... -
Ray Optics on Surfaces
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Variational techniques are used to find path of light rays on surfaces. Using Fermat's principle of least time the problem is treated as a constraint optimization ...