34. Wave Optics

Which of the following is the formula for constructive interference in diffraction grating problems according to Huygen's Principle?

(II) Derive the law of reflection—namely, that the angle of incidence equals the angle of reflection from a flat surface—using Huygens’ principle for waves.

Show that the angular full width at half maximum of the central peak in a double-slit interference pattern is given by ∆θ = λ/2d if λ ≪ d.

Consider three equally spaced and equal-intensity coherent sources of light (such as adding a third slit to the two slits of Fig. 34–12). Use the phasor method to obtain the intensity as a function of the phase difference δ (Eq. 34–4).

(III) Consider three equally spaced and equal-intensity coherent sources of light (such as adding a third slit to the two slits of Fig. 34–12). Determine the positions of maxima and minima.

Consider three equally spaced and equal-intensity coherent sources of light (such as adding a third slit to the two slits of Fig. 34–12). Determine the positions of minima.

A series of polarizers are each rotated 10° from the previous polarizer. Unpolarized light is incident on this series of polarizers. How many polarizers does the light have to go through before it is 1/6 of its original intensity?

Two polarizers are oriented at 55° to each other and plane-polarized light is incident on them. If only 25% of the light gets through both of them, what was the initial polarization direction of the incident light?