2 Reflection And Transmission Of A Red Laser 3 Pts In This Problem We Will Consider The Reflection And Transmission 1 (133.98 KiB) Viewed 32 times
2 Reflection And Transmission Of A Red Laser 3 Pts In This Problem We Will Consider The Reflection And Transmission 2 (48.18 KiB) Viewed 32 times
2. Reflection and transmission of a red laser (3 pts.) In this problem we will consider the reflection and transmission of light waves emit- ted by a red laser pointer. (In Homework 1, Problem 2, we considered a light wave emitted by such a laser.) The laser emits a linearly polarized light wave that we can approximate as a plane electromagnetic wave. The electric field associated with this wave can be written: Ē(z,t) = îEcos(wt – k2) The free-space wavelength of the red laser is X = 650 nm; in other words, when the red laser propagates in vacuum, the wavelength is 650 nm. The laser also carries a power of 5 mW in an area of 1 mm². In this problem, we will consider this laser light propagating in vacuum and reflecting off of different materials. In the first two parts of this problem, let's consider what happens when this laser light reflects at normal incidence from a piece of glass. The glass is nonmagnetic and has a permittivity of tr = 2.25. (a) Find the reflection coefficient (Tglass) and transmission coefficient (Tglass). (b) Using your results from part (a), calculate the power of the reflected light, Pr, and the power of the transmitted light, Pt. What is P, +P? In the next three parts of this problem, let's consider what happens when this laser light reflects at normal incidence from a mirror made of silver. The silver has er = 1, Hip = 1, and g = 6.2 x 107 S/m. (C) Is silver a good conductor at the frequency of the red laser light? (d) Find the field reflection coefficient (T Ag). Calculate the magnitude (I Agl) and phase angle (ZT Ag) of this reflection coefficient.
а (e) Now let's say that you're trying to steer your red laser beam with a collection of silver mirrors. If the laser light reflects off of ten silver mirrors, one after another, how much power would remain in the laser beam? (You may assume that the reflections are all at normal incidence.)
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