Phase Difference Homework | Solutions in PDF

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Homework Help Overview

The discussion revolves around a problem related to phase difference, as indicated by the reference to a PDF file. Participants are exploring the implications of aperture size on phase shift calculations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the substitution of variables into the phase difference equation and questioning how to handle the variable 'a' due to its unspecified value. There is also an exploration of the relationship between aperture size and phase shift.

Discussion Status

Some guidance has been offered regarding the substitution in the phase difference equation. Multiple interpretations of the role of aperture size in the phase shift are being explored, with participants questioning the validity of the given equation.

Contextual Notes

There is a noted constraint regarding the unspecified aperture size, which is central to the discussion of phase shift. Participants are reflecting on the implications of this missing information.

v_pino
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Homework Statement


Please see pdf file. Thank you.


Homework Equations





The Attempt at a Solution


 

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The work you've done so far is correct. Now substitute r1 and r2 into your phase difference equation, then use the suggested simplification.
 
How do I get rid of 'a' since the aperture size is not give?
 
I tried letting 'a' = 'y' but I'm a factor of two larger.
 
v_pino said:
How do I get rid of 'a' since the aperture size is not give?

Oh, I hadn't realized that. The given equation for phase shift actually has to be wrong, since phase shift must depend on aperture size. Imagine making the aperture extremely small, for example. The phase shift should logically go to zero, but in that equation, it doesn't.
 

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