Chapter 10, Problem 10P

A monochromatic light that passes through a slit produces on a screen a diffraction pattern consisting of bright and dark fringes. The intensity of the bright fringes, I, as a function of ? can be calculated by:

$I=I_{\max }{\left(\frac{\sin \alpha }{\alpha }\right)}^2$

where $\alpha =\frac{\pi a}{\lambda }\sin \theta$ , ? is the light wave length, a is the width of the slits. Make a 3-D plot (shown) that shows the relative intensity I/I_maxas a function of ? for $-20°\le \theta \le 20°$ , and a function of a/? for $2\le a/\lambda \le 10$ .