The Fresnel integrals have the asymptotic forms (corresponding to large values of w) given by

Using this fact, show that the irradiance in the shadow of a semi-infinite opaque screen decreases in proportion to the inverse square of the distance to the edge, as z₁ and therefore v₁ become large.

Transcribed Image Text:

w² E(w) = ! +(-)sin тW 2 тW TTW тy? cos S(w) = }