Question

mainly just looking for clarification of part c)

a= cos theta t / cos theta i , b=sin theta i/ sin theta t

5. A plane electrom netic wave is obliquely incident upon an infinite plane boundary two dielectrics with refractive indices, permittivities and permeabilities m. ει, μι and respectively. In terms of the angles of incidence, O, and refraction, e, define n2-E2, μ2 sin θ sin6, (a) State succinctly what assumptions have been made about the materials to write in this form and then state the continuity conditions for the electric field, E. and magnetic field B, at the boundary. mur (b) Sketch the incident, reflected and refracted wave vectors and electric field vectors in the case of the ineident plane wave polarised parallel to the plane of incidence and derive the Fresnel equations for this case, giving your answer in terms of α and β. Write down the expressions for the reflectance Rpralel and transmittance Tparalilei and sketch a graph of Rparalei and Tparalilei clearly marking Bre (5 marks) Given that the reflectance and transmittance for a plane wave polarised perpendicular to (c) the plane of incidence are given by 1 + a find the degree of polarisation of the reflected and transmitted waves when m1.0 and 1.52 and the angle of incidence is 30. What is the qualitative effect on the reflected beam when e56.31 (4 marks) For parallel polarization, the reflectance is

Answer 1

to do auL Cos9t 2. 2 15 2 - OA314 0,0611

2 2. .l.oの×1.52 Now Rs + T1 =0-9389 + 0.0611 NoW 56.31 0-S2)2 1.52 SuL Fol 1A0 一(1:52 1S2 0, 157