Irodov – Problems in General Physics

• Relation between refractive angle 0 of a prism and least deviation
  angle a:
  sin a+0 0
  2 — n sin 2 '

where n is the refractive index of the prism.

• Equation of spherical mirror:

s -t--— s = R '

where R is the curvature radius of the mirror.

• Equations for aligned optical system (Fig. 5.2):

S, n'^ n f' xe= fr.

s s s

Fig. 5.2.

• Relations between focal lengths and optical power:

f ' = n'^ f^ f'^71 re —

(1) ' W ' f •

• Optical power of a spherical refractive surface:

n'

R

n

(5.1i)

• Optical power of a thin lens in a medium with refractive index no:

(n— no) ( - 1 4- 37 , (^) ( 5. 1 j)
where n is the refractive index of the lens.

• Optical power of a thick lens:

0 = 0 1+ 02 — n 010 2,

(^) (5.1k)
(5.1e)
(5.1f)
(5.1g)
(5.1h)
where d is the thickness of the lens. This equation is also valid for a system of
two thin lenses separated by a medium with refractive index n.