How does the angle of refraction affect the width of a transmitted beam?

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Homework Help Overview

The discussion revolves around the concept of refraction, specifically how the angle of refraction affects the width of a transmitted beam when a parallel beam of light passes through an interface between two media with different indices of refraction.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the incident beam width and the transmitted beam width, questioning whether the width remains unchanged upon refraction. Some participants suggest that both the top and bottom rays of the beam remain parallel after refraction, while others consider the implications of the interface's orientation.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the behavior of the beam during refraction. Some guidance has been offered regarding the relationship between the incident and transmitted widths, but multiple interpretations and assumptions are still being explored.

Contextual Notes

Participants are considering the effects of the incident angle and the orientation of the interface on the width of the transmitted beam, noting that the problem does not involve total internal reflection.

mathman44
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Homework Statement



(Refraction)
A parallel beam of width W is incident on a interface. The index of refractions are n1 on
the incident side and n2 on the transmitted side.
(a) Find an equation that gives the width of the transmitted beam. (Assume there is an
exit beam. IE we are not above the angle of total internal reflection.)

Homework Equations



n1 sin theta1 = n2 sin theta2

The Attempt at a Solution



If I draw a diagram, it seems that the refracted width is the same as the incident width. Anyone care to explain?
 
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haven't actually tried calculating the width of the exit beam?
 
yes, and the width is unchanged (?). both top and bottom "rays" of the beam are refracted at the same angle and come out of the interface parallel to each other.
 
Erm, unless the interface is not perpendicular to the incident beam...
 
yes, the question is asking for the general expression of the exit beam width in relation to the incident beam as a function of the incident angle (well, it wouldn't be wrong to write them as a function of the angle of refraction but it's trivial)
 

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