15. The figure below depicts a simplistic optical fiber; a plastic core ($n_1 = 1.58$) is surrounded by a plastic sheath ($n_2 = 1.53$). A light ray is incident on one end of the fiber at angle $ heta$. The ray is to undergo total internal reflection at point A, where it encounters the core-sheath boundary. (Thus there is no loss of light through that boundary.) What is the maximum value of $ heta$ that allows total internal reflection at A? (20 pts.)
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Figure 33-45 depicts a simplistic optical fiber: a plastic core $\left(n_{1}=1.58\right)$ is surrounded by a plastic sheath $\left(n_{2}=1.46\right)$. A light ray is incident on one end of the fiber at angle $\theta$. The ray is to undergo total internal reflection at point $A$, where it encounters the core-sheath boundary. (Thus there is no loss of light through that bound- ary.) What is the maximum value of $\theta$ that allows total internal reflection at $A$ ?
Total Internal Reflection Figure 33-61 depicts a simplistic optical fiber: a plastic core $\left(n_{1}=1.58\right)$ is surrounded by a plastic sheath $\left(n_{2}=1.53\right) .$ A light ray is incident on one end of the fiber at angle $\theta$. The ray is to undergo total internal reflection at point $A,$ where it encounters the core-sheath boundary. (Thus there is no loss of light through that boundary.) What is the total internal reflection at $A?$
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