Angular Resolution Calculator
Free calculate the smallest angle over which details can be distinguished in an optical system. Get instant, accurate results with our easy-to-use calculator.
Input Parameters
Visible light: ~400-700 nm (4e-7 to 7e-7 m)
Diameter of the optical aperture
Rayleigh criterion is most commonly used
Results
Enter parameters to calculate angular resolution
Angular Resolution Formula
Formula
θ = k × λ / D
Where:
- • θ = angular resolution (radians)
- • k = resolution factor (1.22 for Rayleigh)
- • λ = wavelength (m)
- • D = aperture diameter (m)
Common Examples
- • Human eye: ~0.0003 rad (1 arcmin)
- • Hubble Space Telescope: ~4.6×10⁻⁷ rad
- • Radio telescope (100m): ~0.001 rad
- • Optical telescope (10m): ~6.7×10⁻⁸ rad