In this problem, you will derive the equations used to explain the Michelson interferome...

In this problem, you will derive the equations used to explain the Michelson interferometer for incident light of a single frequency.

a. Show that the expression

represents the sum of two waves of the form , one of which is phase shifted by the amount evaluated at the position y_D.

b. Show using the definition I(t) = A(t)A^*(t) that

.

c. Expressing in terms of ◊d(t) , show that

d. Expressing ◊d(t) in terms of the mirror velocity v, show that