Question

Please answer all parts of the question (a,b,c,d,e)

Consider the case of oblique incidence of electromagnetic plane waves going from medium 1 to a. Draw a diagram showing the wavevectors and the directions of the electric and magnetic b. Using the appropriate boundary conditions, obtain the Fresnel equations for the reflected 1. medium 2 with the polarization perpendicular to the plane of incidence. fields of the incident, reflected, and transmitted waves for an angle of incidence θ| and transmitted complex electric field amplitudes EoR and Eor in terms of the ratio of indices of refraction n2/ny and the incident elect ric field amplitude Eol. Assume μ- 2 Sketch the ratios Ē0R that there is no Brewster's angle for any possible value of β where n1ヂn2. Explain why this must be so using Feynman's argument discussed in class related to the polarization of the transmitted radiation and its role in generating the reflected radiation. and Êor/Eor as a function of θι for the case of β = 1.5. Show c. d. Confirm that your result in part (c) reduces to the result at normal incidence. e. Calculate the transmitted and reflection coefficients and check that they add up to 1. Why must they add up to 1?

Answer 1

Bv B; Dル Bt Now, CE

n Ei Now Now, ヲ nei così _ nrE几cos几 n2Et cos4 uue know, Eit En-Et--(1) En

N,ut EEEin qn n2Et cos0 n2c0S82) 2n,coso Et Ei Tyaus

En Ei Ei n u IT , ん11

Ii 乙 2. 2. Ei I From eqn n1 几 put it in en

Ei (0sī 2 COS6 ッ Et Ei no (016 nI