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In Fig. 36.12 c the central diffraction maximum contains exactly seven interference fringes, and in this case d / a=4. (a) What must the ratio d / a be if the central maximum contains exactly five fringes? (b) In the case considered in part (a), how many fringes are contained within the first diffraction maximum on one side of the central maximum? | Numerade
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SOLVED:Consider a single-slit diffraction pattern. The center of the central maximum, where the intensity is I0 , is located at θ=0 . (a) Let θ and θ- be the two angles on either side of θ=0 for which I=(1)/(2) I0 . Δθ=|θ -θ-| is called the full width at half maximum, or F W H M, of the central diffraction maximum. Solve for Δθwhen the ratio between slit width a and wavelength λis (i) a / λ=2 ; (ii) a / λ=5 ; (iii) a / λ=10 . (Hint Your equation for θ or θ- cannot be solved analytically. You m
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