Angular Resolution Calculator





 

About Angular Resolution Calculator (Formula)

The Angular Resolution Calculator is a tool used in optics and astronomy to determine the angular resolution of an optical instrument, such as a telescope or a camera. Angular resolution refers to the ability of an optical system to distinguish between two closely spaced objects in the field of view. The formula for calculating angular resolution depends on the wavelength of light and the diameter of the aperture (e.g., the lens or mirror) of the optical system and can be expressed as:

Angular Resolution (θ) = 1.22 × (Wavelength (λ) / Aperture Diameter (D))

Where:

  • Angular Resolution (θ) represents the angular separation between two objects that can be distinguished by the optical system, typically measured in radians (rad) or degrees (°).
  • Wavelength (λ) is the wavelength of the light used or detected by the optical system, typically measured in meters (m) or micrometers (µm).
  • Aperture Diameter (D) is the diameter of the optical system’s aperture, typically measured in meters (m) or millimeters (mm).

The constant factor “1.22” is an approximation and is often used for optical systems that use circular apertures and follow the principles of diffraction.

The Angular Resolution Calculator is crucial for astronomers, photographers, and engineers working with optical instruments. It helps in determining the instrument’s ability to resolve fine details or distinguish between closely spaced objects in the field of view, which is essential for various applications, including astrophotography, microscopy, and high-resolution imaging.

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