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Brewster: connecting the polarizing angle to refractive index

Contribution grade

Physical optics · Reusable scientific method, experimental result or historical framework

Reference score320,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

The angle at which reflected light is most strongly polarized is connected to refractive index. Brewster compared transparent materials and related the tangent of the polarizing angle to their index. He also connected this angle with a right angle between reflected and refracted rays. The work turned a qualitative optical effect into a quantitative relation that can be checked with geometry and material properties.

Scientific scope

The angle at which reflected light is most strongly polarized is connected to refractive index. Brewster compared transparent materials and related the tangent of the polarizing angle to their index. He also connected this angle with a right angle between reflected and refracted rays. The work turned a qualitative optical effect into a quantitative relation that can be checked with geometry and material properties. A clean, suitably transparent interface and the chosen wavelength matter; damaged surfaces, absorbing materials and dispersion limit simple applications. The original distinguishes complete polarization from maximum polarization in some high-index materials. Its speculative reflecting-force explanation and all its multiple-reflection rules are not adopted here. Malus earlier reflection-polarization discovery remains separate. Banks received the letter and is not a coauthor. The letter is signed 11 February 1815; the Society read it 16 March 1815.

Evidence

The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. A clean, suitably transparent interface and the chosen wavelength matter; damaged surfaces, absorbing materials and dispersion limit simple applications. The original distinguishes complete polarization from maximum polarization in some high-index materials. Its speculative reflecting-force explanation and all its multiple-reflection rules are not adopted here. Malus earlier reflection-polarization discovery remains separate. Banks received the letter and is not a coauthor. The letter is signed 11 February 1815; the Society read it 16 March 1815.

Contributors

Provisional WRS assessment, edition 2026-10-23.5. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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