Angle at Which the First Minimum Occurs Airy Disk Calculation

In optics, the Airy disk (or Airy disc) and Airy pattern are descriptions of the best focused spot of light that a perfect lens with a circular aperture can make, limited by the diffraction of light.The diffraction pattern resulting from a uniformly-illuminated circular aperture has a bright region in the center, known as the Airy disk which together with the series of concentric bright rings around is called the Airy pattern. Far away from the aperture, the angle at which the first minimum occurs, measured from the direction of incoming light, is depended of the wavelength of the light and the diameter of the aperture.

Formula:

sin (θ)=1.22×λd

where,
θ = The angle at which the first minimum occurs
λ = The wavelength of the light
d = The diameter of the aperture

Reference

Wikipedia https://en.wikipedia.org/wiki/Airy_disk

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