A thin prism of angle 6.0°, ω=0.07 and μy =1.50 is combined with another thin prism having ω=0.08 and μy =1.60. The combination produces no deviation in the mean ray. A Find the angle of the second prim. B Find the net angular dispersion produced by the combination when a beam of white light passes through it. C If the prisms are similarly directed, what will be the deviation in the mean ray? D Find the angular dispersion in the situation described in C.
Given that,
For first Prism
Prism Angle = A1 = 60
Dispersion Power = ω1 = 0.07
Refractive Index = μ1 = 1.50
For Second Prism
Prism Angle = A2 = ?
Dispersion Power = ω2 = 0.08
Refractive Index = μ2 = 1.60
The combination produces no deviation in the mean ray.
(a)
(b) When a beam of white light passes through it,
Net angular dispersion =
=
=
(c) If the prisms are similarly directed,
(d) Similarly, if the prisms are similarly directed,
the net angular dispersion is given by,