A ray of light propagating in an isotropic medium with refractive index n varying gradually from point

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A ray of light propagating in an isotropic medium with refractive index n varying gradually from point to point has a curvature radius p determined by the formula 1/p = ∂/∂N(In n). Where the derivative is taken with respect to the principal normal to the ray derive this formula, assuming that in such a medium the law of refraction n sin 0 = const holds. Here 0 is the angle between the ray and the direction of the vector Vn at a given point.
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Physics

ISBN: 978-0077339685

2nd edition

Authors: Alan Giambattista, Betty Richardson, Robert Richardson

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