All Problems

Diffraction of Light

Problem 5.122

A plane light wave with wavelength \(\lambda=0.60 \mu \mathrm{m}\) falls normally on the face of a glass wedge with refracting angle \(\Theta=15^{\circ}\). The opposite face of the wedge is opaque and has a slit of width \(b=10\) \mum parallel to the edge. Find: (a) the angle \(\Delta \theta\) between the direction to the Fraunhofer maximum of zeroth order and that of incident light; (b) the angular width of the Fraunhofer maximum of the zeroth order.

Reveal Answer
5.122. (a) \(\Delta \theta=\arcsin (n \sin \theta)-\theta=7.9^{\circ}\) (b) from the condition \(b\left(\sin \theta_{1}-n \sin \theta\right)=\pm \lambda\) we obtain \(\Delta \theta=\theta_{+1}-\theta_{-1}=\) \(=7.3^{\circ}\)