Return to Fig. 2.22 and prove that if two electromagnetic plane waves making an angle θ ha...

Return to Fig. 2.22 and prove that if two electromagnetic plane waves making an angle θ have the same amplitude, Eθ, the resulting interference pattern on the yx−plane is a cosine-squared irradiance.. distribution given by

Locate the zeros of irradiance. What is the value of the fringe separation? What happens to the separation as θ increases? Compare your analysis with that leading to Eq. (9.17). [Hint: Begin with the wave expressions given in Section 2.7, which have the proper phases already worked out, and write them as exponentials.]