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Some Ray Tracing Problems Related to Circles and Ellipses.

机译:关于圆和椭圆的一些光线跟踪问题。

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摘要

A classical ray tracing problem, namely the celebrated Alhazen Mirror Problem, is reviewed. An alternative formulation of the law of reflection, leading, in the spherical mirror case, directly to Alhazen's equation is presented. The locus method of ray tracing is introduced and applied to Alhazen's problem. Finally, the technique is applied to some ray tracing problems, which often occur in practice, namely reflection by a circular cylinder and diffraction by a circular edge. Although these problems cannot in general be solved analytically, a technique is devised that may save considerable amounts of computer time in actual applications. Keywords: Ray tracing; Reflection; Optics; Diffraction. (jhd)

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