How Can I Solve These Optics Practice Test Problems?

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SUMMARY

This discussion focuses on solving optics practice test problems, specifically involving polarization states and electromagnetic wave equations. Users mention the difficulty in determining the magnetic field equation related to the electric field described by E=E_{0}[\widehat{i}cos(kz-wt)+\widehat{j}sin(kz-wt)]. Key insights include the identification of a Kepler telescope design for beam expansion, emphasizing the relationship between lens separation and focal lengths. Participants seek clarification on initial conditions and the implications for polarization states.

PREREQUISITES
  • Understanding of electromagnetic wave equations
  • Familiarity with polarization states in optics
  • Knowledge of Kepler telescope design and functionality
  • Basic principles of lens magnification and focal lengths
NEXT STEPS
  • Research the derivation of the magnetic field from electric field equations in electromagnetism
  • Study the principles of polarization in optics, focusing on polarization states
  • Explore the design and applications of Kepler telescopes in optical systems
  • Learn about the mathematical modeling of wave functions in optics
USEFUL FOR

Students studying optics, physics educators, and anyone preparing for optics-related examinations or seeking to deepen their understanding of electromagnetic wave behavior.

ChEJosh
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Homework Statement



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2007-12-13-1842-06.jpg


Homework Equations





The Attempt at a Solution



(3) I haven't been able to start this one at all.

(6) I got part a (+45º P-state). I tried to do b and I got [1+i, -i+1] which isn't a polarization state, so I'm not sure what to do with c or if there is some way I can simplify it.

(7) Once again, I got part a. It's of the form E=E_{0}[\widehat{i}cos(kz-wt)+\widehat{j}sin(kz-wt)]
Does the cosine term drop out from the initial conditions?
For b, I'm not sure how to get the magnetic field equation. I know \overline{B}=(\overline{K}\times\overline{E})/\omega
But, I'm not sure how that helps me


Any help would be greatly appreciated!
 
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3, sounds like it is describing a kepler telescope - a common design for a beam expander.
The two positive lenses are separated by the sum of their focal lengths.
The magnification is the ratio of the focal lengths.
A simple sketch shows you how it works.
 
What school do you go to, that paper and font, its exactly the same, is there some standard I don't know about?
 
topherfox said:
What school do you go to, that paper and font, its exactly the same, is there some standard I don't know about?

WVU
And apparently, if you only have 3 characters in a message, it's "too short"
 

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