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This tool applies a standard formula from the relevant domain. The computation is deterministic — given the same inputs, the result is always identical. The formula accounts for the primary variables that determine the output.
NA = n × sin(θ)The calculation requires: Refractive Index n, Half-Angle θ. Each parameter contributes to the final result according to the formula above. Accuracy depends on the precision of your input measurements.
Updated: July 2026
A typical use case demonstrating the calculator with representative values.
→ Calculated result based on the formula and provided inputs
Enter your own values to get a personalized result for your specific situation.
→ Result calculated from your specific input values
Check the expected unit for each input field (shown as suffix). Converting between imperial and metric units before entering values prevents calculation errors.
This calculator uses the formula shown. Real-world results may vary due to factors not captured by the model. Use the result as an estimate and verify with domain-specific standards.
Calculate numerical aperture of an optical system. Free online tool with instant browser-based results — no account needed. It applies the calculation formula (NA = n × sin(θ)). For example: oil immersion, 30° half-angle — A typical use case demonstrating the calculator with representative values.