Abstract

Based on the law of refraction in vector form, an expression is obtained that determines the direction of a ray refracted at two refracting surfaces. As a result of analyzing this expression, represented in matrix form, a form of the expression is proposed that determines the direction of a ray refracted by an arbitrary number of refracting surfaces. The method of mathematical induction is used to prove that the resulting expression is valid for computing the unit vector of a ray refracted by a system of flat, arbitrarily placed refracting surfaces.

© 2014 Optical Society of America

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