All Problems

Diffraction of Light

Problem 5.119

Light with wavelength λ\lambda falls normally on a long rectangular slit of width bb. Find the angular distribution of the intensity of light in the case of Fraunhofer diffraction, as well as the angular position of minima.

Reveal Answer
Iθco⁡(sin⁡2α)/α2, where α=(πb/λ)sin⁡θ;bsin⁡θ=kλk=1,2,3...I_{\theta} \operatorname{co}\left(\sin ^{2} \alpha\right) / \alpha^{2}, \quad \text { where } \quad \alpha=(\pi b / \lambda) \sin \theta ; \quad b \sin \theta=k \lambda k = 1, 2, 3 ...
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