課程名稱︰普通物理學甲下
課程性質︰數學系大一必帶
課程教師︰黃暉理
開課學院:理學院
開課系所︰數學系
考試日期(年月日)︰2014/05/27
考試時限(分鐘):60
試題 :
1. Figure shows an optical fiber in which a central plastic core of index of re-
fraction $n_1$ is surrounded by a plastic sheath of index of refraction $n_2$
(Note: $n_1 > n_2$). Light can travel along different paths within the cen-
tral core, leading to different travel times through the fiber. This causes
an initially short pulse of light to spread as it travels along the fiber,
resulting in information loss. Consider light that travels directly along the
central axis of the fiber and light that is repeatedly reflected at the cri-
tical angle along the core-sheath interface, reflecting from side to side as
it travels down the central core. If the fiber length is L, what is the dif-
ference in the travel times along these two routes? (25 pt.)
https://i.imgur.com/oZNe4Uy.png
\begin{tikzpicture}
\filldraw[lightgray] (0, 0) ellipse(.3 and .7);
\filldraw[lightgray] (0, -.7) rectangle (3, .7);
\filldraw[lightgray] (3, 0) ellipse(.3 and .7);
\filldraw[gray] (0, -.6) rectangle(3.1, .6);
\filldraw[darkgray] (0, 0) ellipse(.2 and .6);
\draw[fill=gray] (3.1, 0) ellipse(.2 and .6);
\draw (0, .6) arc[
start angle=90, end angle=270, x radius=.2, y radius=.6];
\draw[white] (0, -.6) arc[
start angle=-90, end angle=90, x radius=.2, y radius=.6];
\draw (0, .6)