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Diffraction of Light

Problem 5.131

A plane light wave with wavelength λ\lambda falls normally on a phase diffraction grating whose side view is shown in Fig. 5.26 . The grating is cut on a glass plate with refractive index nn. Find the depth hh of the lines at which the intensity of the central Fraunhofer maximum is equal to zero. What is in this case the diffraction angle corresponding to the first maximum?

Reveal Answer
 5.131. hk=λ(k−1/2)/(n−1), where k=1,2,…;asin⁡θ1=λ/2.\begin{array}{l} \text { 5.131. } h_{k}=\lambda(k-1 / 2) /(n-1), \quad \text { where } \quad k=1, \quad 2, \ldots ; \\ a \sin \theta_{1}=\lambda / 2 . \end{array}
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