Solving for Alpha: Optic Axis and Beam Angles in CALCITE Block | 1st Post

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The discussion revolves around solving a complex optics problem involving a CALCITE block, where a beam of light strikes at an angle of incidence, Alpha. The participants express confusion over the application of geometric optics and the challenges of using Snell's Law, noting that it leads to an unsolvable equation. There is also consideration of using Fermat's Principle, but the method remains unclear. The problem requires determining the angle Alpha, with the ordinary and extraordinary beams being parallel at a distance L. Overall, the conversation highlights the difficulties in applying traditional optics principles to this specific scenario.
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Well, this is the question from the end term exam of the Optic 1 year 1 ago that I got from the senior, we (me and my friends) get confused. I try to slove this problem by Geometry Optic but the final equation can't slove (if sloved it will be loooooong to slove on the short time). I think abount using Fremat's Principle, but I can't detect the way to mash it.

so :
The CALCITE block with the Optic Axis parallel with the surface,the thickness is H
(ordinary index N and extraordi index Ne
A beam of light trikes the surface at an angel of incidence of Alpha from the vertical., the plane which keep the beam perpendicular with the OA.
2 Out beams,the ordinary beam and the extraordinary beam, parallel with the distant L !

>>Find Alpha

Fig: http://img178.imageshack.us/my.php?image=opticko7.jpg"

Yep, that all !

Hmmm.. This is my 1st post, I hope I didnt post a homework (yeah this is not homework).
And my English is bad T.T
 
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Welcome to PF :smile:

Are you familiar with Snell's Law? I think that will be useful here.
 
Ya ! I used the Snell's law in Geometry Methol, but I think using the wave mothol in sloving,
If you use the Sneel's law you 'll got the unsloveable quation T.T
 

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