Angular Resolution Calculator

Wavelength of Light (nm):

Diameter of Lens (mm):

Calculate

Results

Angular Resolution (Radians):

 

About Angular Resolution Calculator (Formula)

The Angular Resolution Calculator is a tool used to estimate the angular resolution of an optical system based on the wavelength of light and the diameter of the lens. Angular resolution refers to the ability of an optical system to distinguish fine details or separate two closely spaced objects.

The formula used in this calculator is:

θ=1.22∗λ/d

Where:

• $\theta$ represents the angular resolution in radians.
• $\lambda$ is the wavelength of light in meters (typically provided in nanometers in this context).
• $d$ is the diameter of the lens in meters (typically provided in millimeters in this context).

Here’s an explanation of each component:

1. Angular Resolution ($\theta$): This is the smallest angle at which two point sources of light can be distinguished by an optical system. It is measured in radians.
2. Wavelength of Light ($\lambda$): This is the distance between two successive crests or troughs of a wave of light. It is typically measured in nanometers (nm).
3. Diameter of Lens ($d$): This is the diameter of the lens through which light is entering the optical system. It is typically measured in millimeters (mm).

The factor of 1.22 in the formula is an approximation that arises from the characteristics of optical diffraction patterns.

This formula is a fundamental concept in optics and is used to understand and quantify the resolving power of optical instruments like telescopes and microscopes. A higher angular resolution indicates a greater ability to distinguish fine details in an image.