A question about notation in OPtics

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    Notation Optics
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Discussion Overview

The discussion revolves around the notation used in optics, specifically regarding the normalization of Jones Vectors that represent polarized beams. Participants question the use of the factor \( \frac{1}{\sqrt{2}} \) in this context and seek clarification on its standardization and implications.

Discussion Character

  • Debate/contested, Conceptual clarification

Main Points Raised

  • One participant questions the normalization of the Jones Vector as \( \frac{1}{\sqrt{2}}(1,0) \) and asks for the reasoning behind using \( \frac{1}{\sqrt{2}} \).
  • Another participant asserts that the notation is not standard and claims the vector is not normalized, asking where such notation has been seen.
  • A subsequent reply references seeing this notation in Hetch's Optics and class notes, suggesting it may not be universally accepted.
  • One participant provides a link to Wikipedia on Jones calculus as a potential resource for understanding the topic better.
  • Another participant acknowledges the usefulness of the Wikipedia link, indicating they had not previously consulted it.

Areas of Agreement / Disagreement

Participants express disagreement regarding the standardization of the notation for Jones Vectors, with some asserting it is not standard while others reference its use in specific educational materials. The discussion remains unresolved regarding the appropriateness of the normalization factor.

Contextual Notes

There are limitations in the discussion regarding the definitions of normalization and standard notation in optics, as well as the context in which the notation is used. The discussion does not resolve these issues.

atomqwerty
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Why do we normalize as

[tex]\frac{1}{\sqrt{2}}\left(1,0\right)[/tex]

the Jones Vectors that represent a polarized beam?

I mean, why do we write [tex]1/\sqrt{2}[/tex]?

ps.: (1,0) represents a matrix (1 0)

thanks
 
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atomqwerty said:
Why do we normalize as

[tex]\frac{1}{\sqrt{2}}\left(1,0\right)[/tex]

the Jones Vectors that represent a polarized beam?

I mean, why do we write [tex]1/\sqrt{2}[/tex]?

ps.: (1,0) represents a matrix (1 0)

thanks
This certainly isn't standard notation and the vector isn't normalised. Where have you seen such notation?
 
Is there a better option?
 
Hootenanny said:
This certainly isn't standard notation and the vector isn't normalised. Where have you seen such notation?

I saw it in Hetch's Optics and in my class notes (wrotten by the teacher)

thanks
 
Dr Lots-o'watts said:
I'm a little rusty on the subject, but maybe this can act as reminder:
http://en.wikipedia.org/wiki/Jones_calculus


thank you, I definitely did not search in Wikipedia this time. It's been useful. :)
 

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