Accuracy of two dimensional interferometers

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SUMMARY

The accuracy of two-dimensional interferometers, specifically when utilizing crossed linear arrays, can be derived from the one-dimensional angular error formula: Δθ = Δφ•λ/(2π•l•cosθ). To achieve two-dimensional accuracy, the combined angular error must be calculated by considering the contributions from both linear arrays. This approach allows for precise determination of emitting direction in a two-dimensional space, enhancing the overall measurement accuracy of the interferometer setup.

PREREQUISITES
  • Understanding of interferometry principles
  • Familiarity with angular measurement and error analysis
  • Knowledge of linear array configurations
  • Basic physics of wave interference
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  • Research the mathematical derivation of combined angular errors in interferometry
  • Explore the design and implementation of crossed linear array interferometers
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Physicists, optical engineers, and researchers involved in precision measurement and interferometry applications will benefit from this discussion.

senmeis
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Hi,

the accuracy of interferometers for finding emitting direction in one direction is given as:

Δθ = Δφ•λ/(2pi•l•cosθ)

but what would it be if two dimensional accuracy is required, something like interferometer in crossing?

I thought this could be found somewhere in Internet, but I just don’t have luck.

Senmeis
 
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I don't understand the physical setup and what you are trying to find.
 
This angular error is only valid for one dimension. I wonder what is the combined angular error if two crossed inteferometers are used.

Senmeis
 
Are you suggesting a two dimensional (rectangular) array or just a pair of crossed linear arrays?
 
a pair of crossed linear arrays

Senmeis
 

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