Question

1. [10 pts] A vertically polarized beam of light with intensity 50 W/mis sent through two polarizing sheets wi polarizing directions at angles , -50° and 02 - 70 with the vertical axis. A. [5 pts] What is the intensity of the light that emerges from the first polarizing sheet? Sig B. 15 pts] What is the intensity of the light that emerges from the second polarizing sheet? (Hint: Be careful with the angle you use here.) ou o F 2. [15 pts] A monochromatic light beam is shined onto the first interface of a 3-layer setup with a 30 angle of incidence. The refractive indexes of the layers from the top to bottom are 2.0, unknown and 1.6. A. [4 pts] If the angle of refractions in the middle layer is 50°, what is the unknown index of refraction? ni 2 B. (4 pts) What is the angle of refraction inside the bottom layer? n3 1.6 C. [4 pts] What is the critical angle of incidence for the top interface such that no light is transmitted into the middle layer? D. 13 pts) Is there an angle of incidence for which there will be transmission into the middle layer but not to the bottom layer?

Answer 1

1)Given,

I0 = 50 W/m^2 ;

A)We know that

I = I0 cos^2(theta)

I1 = 50 cos^2(50) = 20.66 W/m^2

Hence, I1 = 20.66 W/m^2

B)theta2 = 70 - 50 = 20

I2 = I1 cos^2(theta)

I2 = 20.66 cos^2(20) = 18.24 W/m^2

Hence, I2 = 18.24 W/m^2