Optics: plane of vibration, state of polarization

In summary, the conversation is about using Eugene Hecht's 4th edition of Optics to solve problems on polarization in chapter 8. The main question is about finding the expression for a polarization-state lightwave with given parameters. The person is struggling to understand the concept of plane of vibration and is seeking help and advice on how to approach the problem and improve their search results.
  • #1
Breedlove
27
0

Homework Statement


I'm using Eugene Hecht's 4th edition of Optics, doing problems from chapter 8 on polarization.

Write an expression for a polarization-state lightwave of angular frequency (omega) and amplitude E propagating along the x-axis with its plane of vibration at an angle of 25 degrees to the xy-plane. The disturbance is zero at t = 0 and x = 0.


Homework Equations


Not completely sure


The Attempt at a Solution



Okay, so looking through the book I am really confused as to how to find the plane of vibration angle. There was another problem that dealt with finding the angle given the Ex and Ey components. I think that if I can understand the plane of vibration thing more thoroughly then I would have a better chance at understanding this problem. Also, it seems like the definition of polarization state is excluded from the chapter entirely. Like... augh I wish the chapters had a summary so I wouldn't have to ravage the entire book looking for a definition. Augh it's not in the index either.

Okay so just going off of what I think I know: So it's propagating in the x direction, that means that it's oscillating in the y and z directions right? The plane of vibration thing is an effect of the waves being out of phase by some constant epsilon. I need to find what epsilon has to be in order for the polarization thing to be 25 degrees. Furthermore, I have to find a phase constant such that both the Ey and Ez components are zero at t=0 and x=0. How do I go about finding an epsilon so that the polarization is 25 degrees? Augh..

Examples, general advice, any help of any kind is greatly appreciated. Thanksthanks!
 
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  • #2
Okay, how come the search stinks so much? Like I put in what I want and I never get results that are closely related to what I searched, I'm guessing because the keywords I'm using are being searched for independently of one another, so if I say "polarization states" then anything with the word polarization or states comes up, and not both. Am I being stupid here? I believe I have tried searching "polarization+states" and having similar results. The reason I'm getting annoyed is because the "similar threads" box at the bottom of this page consistently has threads that are way more related to what I was originally searching for but were completely not in the search I did before. Gosh I mean there's a thread called plane of polarization! How come my search didn't pick that guy up FIRST!? Augh. Yeah so any advice to make my searches actually useful would be greatly appreciated as well.
 

What is the plane of vibration in optics?

The plane of vibration in optics refers to the direction in which an electromagnetic wave is oscillating. It is perpendicular to the direction of propagation of the wave.

What is the state of polarization in optics?

The state of polarization in optics refers to the orientation of the electric field vector of an electromagnetic wave. It can be linear, circular, or elliptical.

How is the plane of vibration related to the state of polarization?

The plane of vibration and the state of polarization are closely related, as the plane of vibration determines the orientation of the electric field vector in an electromagnetic wave. The state of polarization can be determined by the direction of the plane of vibration.

What is the difference between linear and circular polarization?

Linear polarization refers to the state of polarization in which the electric field vector oscillates in a straight line, whereas circular polarization refers to the state of polarization in which the electric field vector rotates in a circular motion.

How can the state of polarization be manipulated in optics?

The state of polarization can be manipulated by using polarizing filters, which only allow waves with a certain orientation of the electric field to pass through. It can also be changed by passing the wave through certain materials, such as crystals, that alter the direction of the plane of vibration.

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