Numerical Aperture
Calculate Numerical Aperture instantly with the exact formula and a worked example.
Numerical Aperture
Refractive index of medium (1 air, 1.33 water, 1.515 oil)
Aperture half-angle θ°
Light wavelengthnm
Numerical aperture NA
0.5
Full cone angle
60°
Abbe resolution
550nm
Rayleigh resolution
671nm
More about: Numerical Aperture
What it calculates
The “Numerical Aperture” calculator computes Numerical aperture NA from 3 parameters: refractive index of medium (1 air, 1.33 water, 1.515 oil), aperture half-angle θ (°), light wavelength (nm).
A standard physics formula used in educational and engineering tasks.
Example calculation
With parameters Refractive index of medium (1 air, 1.33 water, 1.515 oil) = 1, Aperture half-angle θ = 30 °, Light wavelength = 550 nm the result is 0.5.
How to use
- Enter refractive index of medium (1 air, 1.33 water, 1.515 oil), aperture half-angle θ and light wavelength — each field above is adjustable with a slider.
- Numerical aperture NA is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Numerical Aperture calculated?
The Numerical Aperture calculator computes Numerical aperture NA from refractive index of medium (1 air, 1.33 water, 1.515 oil), aperture half-angle θ, light wavelength. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Numerical Aperture calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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