EXERCISE 1.2-3 Sensation Aberration-Free Imaging Surface. Determine the equation of a convex spherical (nonspherical) surface between media of...

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Physics

EXERCISE 1.2-3

Sensation Aberration-Free Imaging Surface. Determine theequation of a convex spherical (nonspherical) surface between mediaof refractive indexes n1 and n2 such that all rays (not necessarilyparaxial) from an axial point P1 at a distance z1 to the left ofthe surface area image onto an axial point P2 at a distance z2 tothe right of the surface [Fig. 1.2-12(a)]. Hint: In accordance withFermat's principle the optical pathlengths between the two pointsmust be equal for all paths.

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