Download your Word document
Angle of Refraction Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Angle of Refraction Calculator — result sheet
Calculate a transmitted ray angle using Snell's law and two refractive indices.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: n₁sinθ₁=n₂sinθ₂.
The inverse sine is applied after the index ratio, with a clear rejection for total internal reflection.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First-medium refractive index — minimum 1.0E-6; maximum 100
- Second-medium refractive index — minimum 1.0E-6; maximum 100
- Incidence angle — °; minimum 0; maximum 89.999999
Worked example
| Input | Value |
|---|---|
| First-medium refractive index | 1 |
| Second-medium refractive index | 1.5 |
| Incidence angle | 30 |
Refraction angle is approximately 19.47°.
Assumptions and limits
- Indices are positive, angles are measured from the normal, and incidence is between 0° and 90°.
- The interface is planar and the indices are real and uniform at the selected wavelength.
- Polarization, dispersion, surface roughness, and transmitted intensity are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.