Huygens' principle (first described by the Dutch scientistChristiaan Huygens in 1678) uses geometry to determine the shape ofa wavefront at a time t, given some initial wavefront at an earliertime. This can be constructed by imagining that the initialwavefront is a source of wavelets that propagate from each point atthe speed of light. From this principle, one can determine theangles of reflection and refraction by considering the speed oflight at each point on the wavefront. In this problem, we willexplore some of these concepts.
PART C
How far did point C go into the material interface in the time t =t_{\rm B} that it took for point B to get to the interface? Forthis part we are looking for the distance traversed by the point Cin the material ( d_C).
Give your answer in terms of the time t_B, c, and n.
Huygens' principle (first described by the Dutch scientistChristiaan Huygens in 1678) uses geometry to determine the shape ofa wavefront at a time t, given some initial wavefront at an earliertime. This can be constructed by imagining that the initialwavefront is a source of wavelets that propagate from each point atthe speed of light. From this principle, one can determine theangles of reflection and refraction by considering the speed oflight at each point on the wavefront. In this problem, we willexplore some of these concepts.
PART C
How far did point C go into the material interface in the time t =t_{\rm B} that it took for point B to get to the interface? Forthis part we are looking for the distance traversed by the point Cin the material ( d_C).
Give your answer in terms of the time t_B, c, and n.
