Tool Description

Numerical Aperture (NA) is a key parameter measuring the light-gathering ability of an optical system. NA = n × sin(θ), where n is the refractive index of the medium and θ is the half-cone angle. This tool supports forward calculation and inverse solving, with associated f-number and resolution.

Input Parameters

Results

Numerical Aperture (NA)
Half-cone angle θ
f-number (f/#)
Abbe Resolution
Rayleigh Criterion
Depth of Focus DOF (±)

NA Diagram

θ Focus Lens NA = —

Core Formulas

Numerical Aperture
NA = n × sin(θ)
NA and f/#
f/# ≈ 1 / (2 × NA)
Abbe Resolution
d = λ / (2 × NA)
Depth of Focus (half value)
DOF = ±λ / (2 × NA²)