Question

5. (a) Starting with the relevant Fresnel equation, obtain an expression for r|| in terms of the angle of incidence (θ) and the relative index of refraction n(ti) = nt/ni. (b) Show that for the case of total internal reflection, r|| is a complex quantity, and that reflectance, R|| = r||* r = 1. State all assumptions, show all work.

Name: 5 a starting with the relevant fresnel equation obtain an expression for r in terms of the angle of incidence and the relative index of refraction nti ntni b show that for the case of total 24656
Uploaded: 2023-05-05T14:23:08-08:00
Duration: 2 min 29 s
Channel: Madhur L
Description: 5 a starting with the relevant fresnel equation obtain an expression for r in terms of the angle of incidence and the relative index of refraction nti ntni b show that for the case of total 24656

          5.
(a) Starting with the relevant Fresnel equation, obtain an expression for r|| in terms of the angle of incidence (θ) and the relative index of refraction n(ti) = nt/ni.
(b) Show that for the case of total internal reflection, r|| is a complex quantity, and that reflectance, R|| = r||* r = 1. State all assumptions, show all work.

Added by Toni S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/05/2023

Step 1

The reflection coefficient for parallel polarization (r||) is given by: r|| = (ni*cos(θi) - nt*cos(θt)) / (ni*cos(θi) + nt*cos(θt)) where θi is the angle of incidence and θt is the angle of transmission. Show more…

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5. (a) Starting with the relevant Fresnel equation, obtain an expression for r|| in terms of the angle of incidence (θ) and the relative index of refraction n(ti) = nt/ni. (b) Show that for the case of total internal reflection, r|| is a complex quantity, and that reflectance, R|| = r||* r = 1. State all assumptions, show all work.