In this problem we will consider the reflection and transmission of light waves emitted by a laser pointer. (In Homework 1, Problem 2, we considered a light wave emitted by a similar laser.) The laser emits a linearly polarized light wave that we can ap- proximate as a plane electromagnetic wave. The electric field associated with this wave can be written: E(z, t) = En cos(wt - kz) The free-space wavelength of the laser is λ = 532 nm; in other words, when the laser propagates in vacuum, the wavelength is 532 nm. The laser also carries a power of 25 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 € = 2.25. (a) Find the reflection coefficient (glass) and transmission coefficient (glass). (b) Using your results from part (a), calculate the power of the reflected light, Pr, and the power of the transmitted light, P₁. What is Pr + P?

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In this problem we will consider the reflection and transmission of light waves emitted
by a laser pointer. (In Homework 1, Problem 2, we considered a light wave emitted.
by a similar laser.) The laser emits a linearly polarized light wave that we can ap-
proximate as a plane electromagnetic wave. The electric field associated with this
wave can be written:
E(z, t) = En cos(wt - kz)
The free-space wavelength of the laser is λ = 532 nm; in other words, when the laser
propagates in vacuum, the wavelength is 532 nm. The laser also carries a power of 25
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 € = 2.25.
(a) Find the reflection coefficient (glass) and transmission coefficient (glass).
(b) Using your results from part (a), calculate the power of the reflected light, Pr,
and the power of the transmitted light, P₁. What is Pr + Pi?
Transcribed Image Text:In this problem we will consider the reflection and transmission of light waves emitted by a laser pointer. (In Homework 1, Problem 2, we considered a light wave emitted. by a similar laser.) The laser emits a linearly polarized light wave that we can ap- proximate as a plane electromagnetic wave. The electric field associated with this wave can be written: E(z, t) = En cos(wt - kz) The free-space wavelength of the laser is λ = 532 nm; in other words, when the laser propagates in vacuum, the wavelength is 532 nm. The laser also carries a power of 25 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 € = 2.25. (a) Find the reflection coefficient (glass) and transmission coefficient (glass). (b) Using your results from part (a), calculate the power of the reflected light, Pr, and the power of the transmitted light, P₁. What is Pr + Pi?
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