Calculating Optical Interferometry Telescope Resolution

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SUMMARY

The resolution of an optical interferometric telescope can be calculated using the formula R = 1.22 * λ / D, where R is the resolution in radians, λ is the wavelength of light, and D is the separation between telescopes. Unlike standard telescopes, the diameter of individual telescopes does not affect resolution; only their separation matters. A significant practical limitation in optical interferometry is the delay line, which must maintain precise alignment of light paths from multiple telescopes, requiring movement accuracy of 1/20 of a wavelength.

PREREQUISITES
  • Understanding of optical interferometry principles
  • Familiarity with the formula R = 1.22 * λ / D
  • Knowledge of delay line mechanics in optical systems
  • Basic concepts of light wavelength and telescope aperture size
NEXT STEPS
  • Research the engineering challenges of delay lines in optical interferometry
  • Explore advanced optical interferometry techniques and applications
  • Learn about the impact of telescope separation on angular resolution
  • Investigate the role of light wavelength in determining telescope performance
USEFUL FOR

Astronomers, optical engineers, and physics students interested in the principles and applications of optical interferometry and telescope resolution calculations.

jumpjack
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I can't find any useful page which explains in detail how to calculate the equivalent resolution of an optical interferometric telescope.

I found out, after LONG search, the formula to calculate standard-telescope resolution:
Resolution (Km) = 5,5680 * 10^-4 * Distance (Km) / diameter (mm)

Does it exist such a formula for interferometric telescopes?
I don't think I can just use two 110mm telescope 1 Km far away to obtain a 1.000.000 m equivalent telescope! Some physics constraint must exist!
Which ones?
How distance and diameters of single telescopes relates to equivalent-telescope angular resolution?
 
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The standard formula used is R=1.22*lambda/D

R is the resolution in radians and lambda/D is the ratio of light wavelength to telescope aperture size. In the case of an interferometer, D is the separation of the telescopes.
 
The size of the individual elements of an interferometer don't directly effect the resolution only the separation - so in you original equation use the separation (in mm!) for the diameter.

The main practical limit for an optical interferometer is the delay line.
Since the light has to be in phase when it reaches the detector the distance traveled by the light from the object through the different telescopes must be the same. In optical inteferometry this is acheived by a delay line = a mirror on a slide. This mirror must be moved to an accuracy of 1/20 a wavelength at a constantly varying rate as the star tracks across the sky. As the telescope separation increases the delay line must be longer and move faster - while keeping the same accuracy. Delay lines of more than a few 100m are tricky to engineer.
 
https://en.wikipedia.org/wiki/MoM-z14 Any photon with energy above 24.6 eV is going to ionize any atom. K, L X-rays would certainly ionize atoms. https://www.scientificamerican.com/article/whats-the-most-distant-galaxy/ The James Webb Space Telescope has found the most distant galaxy ever seen, at the dawn of the cosmos. Again. https://www.skyatnightmagazine.com/news/webb-mom-z14 A Cosmic Miracle: A Remarkably Luminous Galaxy at zspec = 14.44 Confirmed with JWST...

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