Quarter-wave plates and Half-wave plates

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SUMMARY

Quarter-wave plates induce a phase shift of λ/4 between their fast and slow transmission axes. When two quarter-wave plates are placed in series with a 0-degree alignment between their fast axes, the resulting phase shift is effectively zero. However, if the plates are oriented at 90 degrees to each other, the combined effect can be analyzed using Jones matrices. The order of multiplication of these matrices is crucial, as it affects the resultant optical behavior.

PREREQUISITES
  • Understanding of quarter-wave plates and their function in optics
  • Familiarity with Jones calculus for analyzing polarized light
  • Knowledge of matrix multiplication and its implications in optical systems
  • Basic concepts of optical phase shifts and polarization
NEXT STEPS
  • Study the application of Jones matrices in optical systems
  • Explore the effects of different orientations of optical elements on light polarization
  • Learn about the mathematical representation of optical devices using matrix optics
  • Investigate the practical applications of quarter-wave plates in optical devices
USEFUL FOR

Optical engineers, physicists, and students studying optics who are interested in the behavior of polarized light and the application of optical devices such as quarter-wave plates.

boby96
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Hi, I am aware that quater-wave plates create a phase shifts of λ / 4 between the fast and slow transmission axis. My question is what happens if we place two quater-wave plates in series so that there is 0 degrees between the fast transmission axis and how would result change if they where placed in series so that there is 90 degrees between fast transmission axis?

Thanks,
 
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Is this a homework question?
 
boby96 said:
Hi, I am aware that quater-wave plates create a phase shifts of λ / 4 between the fast and slow transmission axis. My question is what happens if we place two quater-wave plates in series so that there is 0 degrees between the fast transmission axis and how would result change if they where placed in series so that there is 90 degrees between fast transmission axis?

Thanks,

Just multiply the Jones matrices and you will find the answer.
 
Drakkith said:
Is this a homework question?
No, just that I have covered normal polarisers in series and know how to predict outcome. So was curious if there was any easy and intuitive way of combing quarter wave plates together.

Andy Resnick said:
Just multiply the Jones matrices and you will find the answer.
Thanks, does it matter in what order i multiply them in?
 
boby96 said:
Thanks, does it matter in what order i multiply them in?

Yes, because they are matrices. If the light first goes through retarder '1', then the system matrix is [T]=[2][1]
 

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