please give me the derivation of refraction at the spherical surfaces ?
Asked by Gaurav Gaur | 30th Mar, 2013, 01:44: PM
Expert Answer:
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 1 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
Let
OP= -u
OP=-v
Radius = -R 1
Applying the Gaussian formula for concave surface,
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 1 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
Let
OP= -u
OP=-v
Radius = -R 1
Applying the Gaussian formula for concave surface,
Answered by | 30th Mar, 2013, 02:35: PM
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