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Diffraction Resolution

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Calculate diffraction-limited angular resolution and ground spot size for circular apertures.

nm

Angular resolution

1.38 arcsec

6.71 microrad Rayleigh angle

Resolvable separation

3.36 m

at 500.0 km target range

Airy disk diameter

6.71 m

first dark ring across the target plane

Calculation breakdown

Rayleigh angle6.710e-6
Wavelength5.500e-7 m
Aperture diameter0.10 m
Aperture / wavelength181,818

Rayleigh diffraction limit

Aperture diameter narrows the diffraction cone; wavelength and range turn that angle into target-plane separation.

theta = 6.71 microrad

incoming wavefronts, lambda = 550 nmD = 100 mmthetatarget plane at R = 500 kms = R theta = 3.36 mfirst-dark Airy diameter = 6.71 m

Wavelength

550 nm

longer wavelengths broaden the cone

Aperture

100 mm

D / lambda = 181,818

Linear resolution

3.36 m

Rayleigh separation at 500 km

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