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As the title says, how would I obtain the vector $\mathbf t$ if the vector $\mathbf i$ and the refractive indices are known? I've tried for hours but I keep getting stuck. Is there an equation readily available?

Thank you.

G. Smith
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  • Related: https://physics.stackexchange.com/questions/435512/snells-law-in-vector-form – d_b Oct 22 '20 at 20:29
  • In what system do you know the vector i? do you täte the normal ant tangential component as given? – trula Oct 22 '20 at 20:43
  • @trula The point of vector equations is that they don’t require a particular coordinate system. – G. Smith Oct 23 '20 at 21:19

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