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please give me the derivation of refraction at the spherical surfaces ?

Asked by Gaurav Gaur 30th March 2013, 1:44 PM
Answered by Expert

Object at O, centre of curvature at C, virtual image at B. Pole at P. A is point of incidence. AP  is dropped. Refractive index of rarer medium n 1 and denser medium n 2 .

In parallaxial approximation A is very near to P thus PP ? 0

(Lens makers formula using concave and convex surfaces)

Let a ray of light from the object O incident upon a concave surface of radius R and come out of the convex surface radius R 2 . Let the rarer medium have a r.i. n 1 and denser medium n 2 .

Since the lens is thin thus PP ? 0


OP= -u


Radius = -R 1

Applying the Gaussian formula for concave surface,

Answered by Expert 30th March 2013, 2:35 PM
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