All Problems

Diffraction of Light

Problem 5.103

A plane light wave with wavelength λ=0.60μm\lambda=0.60 \mu \mathrm{m} falls normally on a sufficiently large glass plate having a round recess on the opposite side (Fig. 5.21 ). For the observation point PP that recess corresponds to the first one and a half Fresnel zones. Find the depth hh of the recess at which the intensity of light at the point PP is (a) maximum; (b) minimum; (c) equal to the intensity of incident light.

Reveal Answer
5.103. (a) h=λ(k+3/8)/(n1)=1.2(k+3/8)μm;h=\lambda(k+3 / 8) /(n-1)=1.2(k+3 / 8) \mu \mathrm{m} ; (b) h=h= =1.2(k+7/8)μm,(c)h=1.2k=1.2(k+7 / 8) \mu \mathrm{m},(\mathrm{c}) h=1.2 k or 1.2(k+3/4)μm.1.2(k+3 / 4) \mu \mathrm{m} . Here k=k= =0,1,2,=0,1,2, \ldots