Please, can someone explain me spatial coherence?

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    Coherence Explain
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Discussion Overview

The discussion centers around the concept of spatial coherence in wave phenomena, exploring its definition, implications, and measurement techniques. Participants delve into the relationship between spatial coherence and source size, as well as its effects on diffraction patterns.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant defines spatial coherence as the spatial extent over which frequency components of a wave are in phase, noting that waves lose coherence as they propagate.
  • Another participant relates spatial coherence to the size of the source, explaining that a point source produces a perfectly coherent wavefront, while an infinitely large source is incoherent.
  • The van-Cittert-Zernike theorem is mentioned as significant, with implications for the far-field diffraction pattern being proportional to spatial coherence.
  • Spatial coherence is suggested to be measured using Young's double-slit interferometer, where slit spacing indicates coherence levels.
  • A participant raises a question about the effect of 'longitudinal' coherence on far-field diffraction when passing through a pinhole.
  • Another participant responds that a broad spectrum of colors will result in a smoothened diffraction pattern, contrasting with the distinct Airy patterns of individual colors.

Areas of Agreement / Disagreement

Participants express varying interpretations of spatial coherence and its implications, indicating that multiple competing views remain. The discussion does not reach a consensus on the effects of longitudinal coherence on diffraction patterns.

Contextual Notes

Some claims depend on specific definitions of coherence and may involve unresolved assumptions about the conditions under which coherence is measured.

azatkgz
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Please,can someone explain me spatial coherence?
 
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Spatial coherence is the spatial extent over which all the frequency components of a wave are in phase (or close to it) with each other.

As waves propagate they tend to lose their spatial coherence due to the phases of different frequency components drifting apart.

Claude.
 
Spatial coherence is related to the size of a source, and means how well you can predict the field values *over there*, if I know what it is *here*. A point source produces a perfectly spatially coherent wavefront, while an infitely large source is perfectly spatially incoherent.

The van-Cittert-Zernike theorem is a very profound statement and worth spending time to understand. Briefly, the far-field diffraction pattern of a beam is proportional to the spatial coherence.

Spatial coherence is typically measured by a Younng's double-slit interfereometer, where the slit spacing is a measure of the spatial coherence.

Spatial coherence is the reason the holograms on credit cards look good outside in the sun, and terrible inside under fluorescent lights.
 


what does the SHORT longtudinal coherence do to its far-field diffraction when it passes through a pinhole? Thanks.

Andy Resnick said:
Spatial coherence is related to the size of a source, and means how well you can predict the field values *over there*, if I know what it is *here*. A point source produces a perfectly spatially coherent wavefront, while an infitely large source is perfectly spatially incoherent.

The van-Cittert-Zernike theorem is a very profound statement and worth spending time to understand. Briefly, the far-field diffraction pattern of a beam is proportional to the spatial coherence.

Spatial coherence is typically measured by a Younng's double-slit interfereometer, where the slit spacing is a measure of the spatial coherence.

Spatial coherence is the reason the holograms on credit cards look good outside in the sun, and terrible inside under fluorescent lights.
 


As I mentioned privately, since 'longitudinal' coherence refers to the waveband, the far-field diffraction pattern will appear smoothened out: each color will give a (for example) Airy pattern, but if there is a broad spectrum of colors, the total pattern will appear as a smooth blob.
 

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