How could one measure degree of coherence with Fresnel birprism?

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SUMMARY

This discussion focuses on measuring the degree of coherence using a Fresnel biprism, comparing it to the Young's double-slit experiment. The key point is that both setups create interference from different parts of the same wavefront, allowing for the analysis of spatial coherence. The conversation highlights the importance of understanding how varying the source width affects visibility in the Fresnel biprism, as it alters the virtual sources. The equivalence of pinholes in Young's interferometer and the biprism's entrance face is also established as crucial for coherence measurement.

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  • Understanding of spatial coherence and its measurement techniques
  • Familiarity with the principles of Young's double-slit experiment
  • Knowledge of Fresnel biprism and its optical properties
  • Basic concepts of interference and wavefront analysis
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  • Study the differences between spatial and temporal coherence measurements
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How could one measure degree of coherence with Fresnel biprism?

Hello. I have some questions about the study of partial coherence with a Fresnel biprism.
In common text degree of coherence and its relationship to visibility is introduced considering a Young Double Slit experiment.
At the same time, in basic texts, the Fresnel biprism is introduced as an equivalent to Young's wave-front split interferometer.
HOWEVER, when studying partial coherence one measures visibility of fringes produced by a Young interferometer BECAUSE one is studying to correlation of the fields AT PINHOLES. Therefore giving information about the relationship between to laterally spaced points of the field. I don't see how this could happen with a Fresnel biprism and my question is:
1) Which two points, pinholes, or regions of space am I referring to, if any?

Although I am mainly interested in this first question, I pose another one.
2) In a Young experiment if one varies the width, for example, of the source, the pinhole dimensions stay the same. In Fresnel birprism when the width of the source varies so do the virtual sources. Won't this affect meausres of visibility?

I am seeing this differences and probably I am not considering/understanding something.

Thanks in advance to everyone.
 
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If I understand your question, the pair of pinholes and the biprism are equivalent because both create interference between different parts of the same wavefront.

http://www.pbjacquemin.com/images/scanning_device3.gif
http://www.physics.umd.edu/lecdem/services/demos/demosm5/m5-24.htm

Young's interferometer measures the spatial coherence of a wavefront- how well different spatially-separated portions of a wavefront are correlated. A Michaelson interferometer measured the temporal coherence: how well different temporally-separated portions of a wavefront are correlated.

So, to your question #1, you are sampling the wavefront at the pinholes or the entrance face of the biprism. For #2, I haven't used a biprism so I can't say for sure.
 
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