BACHELOR OF SCIENCE (HONS) Study Guide - Small-Angle Approximation, Internal And External Angles, Refraction

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Think about refraction at a spherical interface point between two transparent media. A microscopic piece of a round surface can be viewed as planar and similar laws of refraction can be applied at each point on the surface. The rays are incident from a medium of refractive index n1, to another of refractive index n2. Assuming the aperture (or the lateral size) of the surface to be small compared to other distances involved, so that small angle approximation can be made. Consider nm will be taken to be nearly equal to the length of the perpendicular from the point. Considering small angles, tan

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