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Home » \mathbfM eginbmatrix x \ y \endbmatrix = eginbmatrix x + 2y \ 3x - y \endbmatrix - AMAZONAWS

\mathbfM eginbmatrix x \ y \endbmatrix = eginbmatrix x + 2y \ 3x - y \endbmatrix - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 n_1 \sin heta = n_2 \sin \phi

📌 For a fiber with refractive index \(n\) and assuming the inside of the fiber is air (refractive index 1), we have:

📌 \sin heta = n \sin \phi

📌 Solving for \(\sin \phi\):

📌 \sin \phi = rac{\sin heta}{n}

📌 We seek \(\cos \phi\). Using the identity \(\cos^2 \phi = 1 - \sin^2 \phi\):

📌 \cos^2 \phi = 1 - \left(rac{\sin heta}{n}

📌 ight)^2 = 1 - rac{\sin^2 heta}{n^2}

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