All Problems

Diffraction of Light

Problem 5.129

Light with wavelength λ=0.60μm\lambda=0.60 \mu \mathrm{m} falls normally on a diffraction grating inscribed on a plane surface of a plano-convex cylindrical glass lens with curvature radius R=20 cm.R=20 \mathrm{~cm} . The period of the grating is equal to d=6.0μm.d=6.0 \mu \mathrm{m} . Find the distance between the principal maxima of first order located symmetrically in the focal plane of that lens.

Reveal Answer
x=2R/(n1)(d/λ)21=8 cmx=2 R /(n-1) \sqrt{(d / \lambda)^{2}-1}=8 \mathrm{~cm}