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The full width at half-maximum (FWHM) of a central diffraction maximum is defined as the angle between the two points in the pattern where the intensity is one-half that at the center of the pattern. (See Fig. 36-8 b ) (a) Show that the intensity drops to one-half the maximum value when sin^2 α=α^2 / 2 . (b) Verify that α= 1.39 rad (about 80^∘ ) is a solution to the transcendental equation of (a). (c) Show that the FWHM is Δθ=2 sin^-1(0.443 λ/ a), where a is the slit width. Calculate the FWHM of
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