1. Consider a rectangular aperture of dimensions 0.2 mm × 0.3 mm
with a screen placed at a distance of 100 cm from the aperture. Assume a
plane wave with λ = 5 × 10-5 cm incident normally on the aperture.
Calculate the positions of maxima and minima in a region 0.2 cm × 0.2 cm
of the screen. Show that both Fresnel and Fraunhofer approximations are
satisfied. Get solution
2. In Problem 19.1 assume a convex lens (of focal length 20 cm) placed immediately after the aperture. Calculate the positions of the first three maxima and minima on the x-axis (implying ϕ = 0) and also on the y-axis (implying θ = 0). Get solution
3. The Fraunhofer diffraction pattern of a circular aperture (of radius 0.5 mm) is observed on the focal plane of a convex lens of focal length 20 cm. Calculate the radii of the first and the second dark rings. Assume λ = 5.5 × 10-5 cm.[Ans. 0.13 mm, 0.18 mm] Get solution
4. In Problem 19.3, calculate the area of the patch (on focal plane) which will contain 95% of the total energy. Get solution
5. Obtain the diffraction pattern of an annular aperture bounded by circles of radii a1 and a2 (> a1). [Hint: The integration limits of ρ in Eq. (35) must be a1 and a2] Get solution
2. In Problem 19.1 assume a convex lens (of focal length 20 cm) placed immediately after the aperture. Calculate the positions of the first three maxima and minima on the x-axis (implying ϕ = 0) and also on the y-axis (implying θ = 0). Get solution
3. The Fraunhofer diffraction pattern of a circular aperture (of radius 0.5 mm) is observed on the focal plane of a convex lens of focal length 20 cm. Calculate the radii of the first and the second dark rings. Assume λ = 5.5 × 10-5 cm.[Ans. 0.13 mm, 0.18 mm] Get solution
4. In Problem 19.3, calculate the area of the patch (on focal plane) which will contain 95% of the total energy. Get solution
5. Obtain the diffraction pattern of an annular aperture bounded by circles of radii a1 and a2 (> a1). [Hint: The integration limits of ρ in Eq. (35) must be a1 and a2] Get solution
