Refraction at a concave interfaceA concave interface is defined by a circle with a center $C$ at $(x_c=0,y_c=0)$ and a radius $R=$ cm. A light ray emitted from position $o$ $(x_0=$ , $y_0=$ $)$ cm strikes this interface at point $P$ at a height $y_p=$ cm. The index of refraction is $n_1=1$ to the left of the interface and $n_2=$ to the right of the interface. What is the angle between the normal to the interface at point $P$ (the gray line that runs through $C$ and $P$) and the refracted ray? |