Brewster's Angle Calculator

This calculator is designed for physics students and professionals in optics to determine Brewster's angle, where light is perfectly polarized upon reflection. It's a critical tool for understanding light behavior at interfaces.

Calculator Interface

Results

Brewster's Angle --

Data Source and Methodology

All calculations are based on the equation derived from Snell's Law and Fresnel equations. The methodology follows conventional optics principles.

The Formula Explained

\[ \theta_B = \tan^{-1}\left(\frac{n_2}{n_1}\right) \]

Glossary of Variables

Example Calculation

How It Works: A Step-by-Step Example

Assume n₁ = 1.0 (air) and n₂ = 1.5 (glass). Using the formula, \(\theta_B = \tan^{-1}\left(\frac{1.5}{1.0}\right)\), calculate θB ≈ 56.31°.

Frequently Asked Questions (FAQ)

What is Brewster's Angle?

Brewster's Angle is the angle of incidence at which light is polarized upon reflection, with no reflection of the light with a particular polarization.

Why is Brewster's Angle important?

Understanding Brewster's Angle is crucial in designing anti-reflective coatings and in various optics applications where polarization is involved.

Can Brewster's Angle be greater than 90°?

No, Brewster's Angle cannot exceed 90° as it is physically defined to occur at the boundary between two media.

Does Brewster's Angle depend on wavelength?

Yes, the refractive index can vary with wavelength, affecting Brewster's Angle slightly.

How can I verify Brewster's Angle experimentally?

Experimentally, Brewster's Angle can be observed by adjusting the angle of light incidence until the reflected light is completely polarized.

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Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
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Formula (extracted LaTeX)
\[\theta_B = \tan^{-1}\left(\frac{n_2}{n_1}\right)\]
\theta_B = \tan^{-1}\left(\frac{n_2}{n_1}\right)
Formula (extracted text)
\[ \theta_B = \tan^{-1}\left(\frac{n_2}{n_1}\right) \]
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
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