How Can I Solve These Optics Practice Test Problems?

ChEJosh
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Homework Statement



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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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Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
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