1. Consider a plane glass slab of thickness d made of a material of
refractive index n, placed in air. By simple application of Snell’s law
obtain an expression for the spherical aberration of the slab. What are
other kinds of aberrations that the image will suffer from?(Ans.
Spherical aberration = ..., where h is the height at whichthe ray
strikes the slab, and u is the distance of the object point from
thefront surface of the slab.) Get solution
2. Why can’t you obtain an expression for the spherical aberration of a plane glass slab from Eq.(27) by tending R1, R2 to ∝? Get solution
3. Obtain an expression for the chromatic aberration in the image formed by a plane glass slab. Get solution
4. Does the image formed by a plane mirror suffer from any aberration? Get solution
5. Calculate the longitudinal spherical aberration of a thin plano-convex lens made of a material of refractive index 1.5 and whose curved surface has a radius of curvature of 10 cm, for rays incident at a height of 1 cm. Compare the values of the aberration when the convex side and the plane side face the incident light. Get solution
6. Consider a lens made up of a material of refractive index 1.5 with a focal length 25 cm. Assuming h = 0.5 cm and θ =45°, obtain the spherical aberration and coma for the lens or various values of the shape factor q and plot the variation in a manner similar to that shown in Fig. 5.9. Get solution
7. An achromatic cemented doublet of focal length 25 cm is to be made from a combination of an equiconvex flint glass lens (nb =1.50529, nr =1.49776) and a crown glass lens (nb=1.66270, nr =1.64357). Calculate the radii of curvatures of the different surfaces and the focal lengths of each of the two lenses. Get solution
2. Why can’t you obtain an expression for the spherical aberration of a plane glass slab from Eq.(27) by tending R1, R2 to ∝? Get solution
3. Obtain an expression for the chromatic aberration in the image formed by a plane glass slab. Get solution
4. Does the image formed by a plane mirror suffer from any aberration? Get solution
5. Calculate the longitudinal spherical aberration of a thin plano-convex lens made of a material of refractive index 1.5 and whose curved surface has a radius of curvature of 10 cm, for rays incident at a height of 1 cm. Compare the values of the aberration when the convex side and the plane side face the incident light. Get solution
6. Consider a lens made up of a material of refractive index 1.5 with a focal length 25 cm. Assuming h = 0.5 cm and θ =45°, obtain the spherical aberration and coma for the lens or various values of the shape factor q and plot the variation in a manner similar to that shown in Fig. 5.9. Get solution
7. An achromatic cemented doublet of focal length 25 cm is to be made from a combination of an equiconvex flint glass lens (nb =1.50529, nr =1.49776) and a crown glass lens (nb=1.66270, nr =1.64357). Calculate the radii of curvatures of the different surfaces and the focal lengths of each of the two lenses. Get solution
