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Open toolOptical Numerical Aperture Calculator
Find optical numerical aperture or a collection half-angle. Provide Known input, Medium refractive index, Half-angle (deg) or numerical aperture to compute results directly in your browser. NA=n*sin(theta), inverse asin(NA/n). Half-angle 0..90 deg; inverse requires 0<=NA<=n. Same medium refractive index throughout. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
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Enter the inputs, then select Calculate.
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How the Optical Numerical Aperture Calculator Works & Core Formula
The Optical Numerical Aperture Calculator evaluates Known input, Medium refractive index, Half-angle (deg) or numerical aperture in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.
Find optical numerical aperture or a collection half-angle.
NA=n*sin(theta), inverse asin(NA/n). Half-angle 0..90 deg; inverse requires 0<=NA<=n. Same medium refractive index throughout. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
Optical Numerical Aperture Calculator Quick Reference & Input Guide
Review the input parameters, allowed value ranges, and worked reference cases for the Optical Numerical Aperture Calculator below before running your calculation.
| Parameter / Scenario | Default / Sample Value | Rule or Allowed Range | Output / Usage Note |
|---|---|---|---|
| Input: Known input | (User supplied) | Options: Collection half-angle, Numerical aperture | Required workspace parameter |
| Input: Medium refractive index | 1 | Range: 1e-09 to 10 | Required workspace parameter |
| Input: Half-angle (deg) or numerical aperture | 30 | Range: 0 to 90 | Required workspace parameter |
| Worked Case 1: Baseline run (Medium refractive index = 1) | Preloaded / test values | Find optical numerical aperture or a collection half-angle | Known input = Collection half-angle; Medium refractive index = 1; Half-angle (deg) or numerical aperture = 30. The displayed output is Numerical aperture: 0.5 Collection half-angle: 30 deg. |
| Worked Case 2: Comparison scenario (numerical aperture of optical fiber calcul) | Preloaded / test values | Find optical numerical aperture or a collection half-angle | Known input = Numerical aperture; Medium refractive index = 1; Half-angle (deg) or numerical aperture = 0.5. The displayed output is Numerical aperture: 0.5 Collection half-angle: 30 deg. |
Step-by-Step Guide to Using the Optical Numerical Aperture Calculator
Follow these three steps to configure Known input, Medium refractive index, Half-angle (deg) or numerical aperture, verify unit and boundary rules, and export your Optical Numerical Aperture Calculator output.
Input and settings
Complete the other inputs
Set medium refractive index, half-angle (deg) or numerical aperture. NA=n*sin(theta), inverse asin(NA/n).
Tool result
Calculate and read the output
Select Calculate to see the numerical aperture and collection half-angle. Copy result copies this text; Download saves it as a TXT file.
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Practical Worked Examples for Optical Numerical Aperture Calculator
These concrete scenarios illustrate how the Optical Numerical Aperture Calculator processes baseline inputs, comparison checks, and boundary constraints.
Baseline run (Medium refractive index = 1)
Known input = Collection half-angle; Medium refractive index = 1; Half-angle (deg) or numerical aperture = 30. The displayed output is Numerical aperture: 0.5 Collection half-angle: 30 deg.
Comparison scenario (numerical aperture of optical fiber calcul)
Known input = Numerical aperture; Medium refractive index = 1; Half-angle (deg) or numerical aperture = 0.5. The displayed output is Numerical aperture: 0.5 Collection half-angle: 30 deg.
Boundary & unit check (Optical Numerical Aperture Calculator)
When solving for 'optical numerical aperture calculator', verify that Known input, Medium refractive index, Half-angle (deg) or numerical aperture use consistent units and stay within the documented scope: NA=n*sin(theta), inverse asin(NA/n). Half-angle 0..90 deg; inverse requires 0<=NA<=n. Same medium refractive index throughout. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
How to Read and Verify the Optical Numerical Aperture Calculator Output
The output panel reports the exact result derived from Known input, Medium refractive index, Half-angle (deg) or numerical aperture alongside any unit or formatting notes.
The result is the numerical aperture and collection half-angle. Compare aperture and collection angle within a supplied medium.
The inverse requires an aperture no larger than the entered refractive index.
Numerical output shows up to 12 significant digits. Floating-point arithmetic and display rounding can affect the last digits.
- Example input
- Known input = Collection half-angle; Medium refractive index = 1; Half-angle (deg) or numerical aperture = 30
- Example output
- Numerical aperture: 0.5 Collection half-angle: 30 deg
Scope Limits, Accuracy Assumptions & Related Everyday Math Tools
Review these boundary constraints and validation rules before relying on the Optical Numerical Aperture Calculator output.
Operational scope: NA=n*sin(theta), inverse asin(NA/n). Half-angle 0..90 deg; inverse requires 0<=NA<=n. Same medium refractive index throughout. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.
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Open toolFrequently Asked Questions About Optical Numerical Aperture Calculator
Answers about using Optical Numerical Aperture Calculator and understanding its results.
What formula or rule does the Optical Numerical Aperture Calculator use?
The Optical Numerical Aperture Calculator applies the rule: Find optical numerical aperture or a collection half-angle. Enter Known input, Medium refractive index, Half-angle (deg) or numerical aperture into the workspace and the tool computes the exact output in your browser.
What input parameters and units are required for Optical Numerical Aperture Calculator?
Yes. Provide Known input, Medium refractive index, Half-angle (deg) or numerical aperture using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.
What are the accuracy limits and boundary assumptions for Optical Numerical Aperture Calculator?
NA=n*sin(theta), inverse asin(NA/n). Half-angle 0..90 deg; inverse requires 0<=NA<=n. Same medium refractive index throughout. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.
Is the Optical Numerical Aperture Calculator free and does it keep my inputs private?
Yes. All calculations for the Optical Numerical Aperture Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.
Get the numerical aperture and collection half-angle
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