Hi can you please provide a response to each part of the practice problem? Please include all steps/identities used for each part for my understanding, thanks! (this has to do with the physical science of light rays AKA photonics)

Hedherbbm1. Consider the optical system below. A light ray with an angle of incidence of 20 degrees, 6 cm above the Z axis is incident on a 2 cm thick slab with n = 1.7. Behind that is a 5 cm thick slab with n = 1.4. Assume the left and right side are n = 1. i. What height and angle will the light ray emerge on the right side of the system (ie, after refraction at the rightmost boundary)? ii. What is the optical pathlength traveled by the ray? 2cm 5cm Consider the same system in Problem 1. i. Find and solve the ray transfer matrix ofthe system. ii. For the initial ray in Problem 1, solve for what the output ray will be. Does this match your result from Problem 1? HINT: Remember your sign convention! Downward angles are negative