For parallel polarisation, for lossless dielectrics, the expression for Brewster angle for a wave traveling from medium 1 to the medium of refractive indices η1, and η2 respectively is

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UGC NET Paper 2: Electronic Science 3rd Dec 2021 Shift 2
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  1. \(\rm \theta =\sin^{-1}\left( \sqrt{\frac{\in_1/\in_2}{1+\sqrt{\frac{\in_1}{\in_2}}}} \right)\)
  2. \(\rm \theta =\sin^{-1}\left( \sqrt{\frac{\in_2/\in_1}{1+\in_2/\in_1}} \right)\)
  3. \(\rm \theta =\tan^{-1}\left( \sqrt{\frac{\in_2}{\in_1}} \right)\)
  4. \(\rm \theta =\cos^{-1}\left( \sqrt{\frac{\in_1}{\in_2}} \right)\)

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Option 3 : \(\rm \theta =\tan^{-1}\left( \sqrt{\frac{\in_2}{\in_1}} \right)\)
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Concept:

The Brewster law states the relationship between light waves and polarized light. The polarized light vanishes at this maximum angle.

Brewster angle is the angle when a wave is an incident on the surface of a perfect dielectric at which there is no reflected wave and the incident wave is parallelly polarised. 

For an elliptically polarized wave incident on the interface of a dielectric, the reflected wave will be elliptically polarized 

Brewster angle is given by:

\(\theta = {\tan ^{ - 1}}\sqrt {\frac{{{\epsilon_2}}}{{{\epsilon_1}}}}\)

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