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Numerical Aperture Calculator

Compute NA = n sin θ (θ in degrees, half-angle).

Input Data

Input Medium index n.
Input Half-angle θ.
°

Results

0.75
NA = n sinθ = 0.750000

At a glance:Numerical Aperture Calculator: enter parameters to compute results; complements related calculators.

Formula

NA = n sin θ

θ: acceptance half-angle (degrees)

How to Use

  1. Enter medium index n.
  2. Enter acceptance half-angle θ (deg).
  3. Get numerical aperture NA.

Case Studies

n=1.5, θ=30°

NA = 1.5·sin30° = 0.75.

FAQ

Vs resolution?

Larger NA gives better resolution and brightness (see Abbe limit).

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Numerical Aperture Calculator/physics/numerical-aperture)。