Light Propagation Through a Medium

This page is going to be about about Light Propagation. A work in progress . Edited by Roshan Konda Fall 2017

The Main Idea

When light travels through anything but a vacuum the speed of light travels at a speed different from c=3.00E8 m/s and the light particles scatter. The highest speed that light can travel though is the universal constant c. Light also refracts, or changes direction when it enters a new medium.

A Mathematical Model

The speed of light through a medium can be given by the formula n=(c/v), where n is the index of refraction, v is the velocity of light through the medium and c is the speed of light through a vacuum. The relationship between the angle of incidence and angle of refraction when light passes through a medium is given by Snell's Law. n1sin(theta1) = n2sin(theta2)

A Computational Model

Examples

Easy

The speed of light is measured to be 2.76E8 m/s, What is the index of refraction for the medium?

Solution

The index of refraction is n=(c/v), n=(3.00E8)/(2.76E8) = 1.09.

Medium

What is the index of refraction of a refractive medium if the angle of incidence in air is 30 degrees and the angle of refraction is 15 degrees.

Solution

(1*sin(30))/sin(15) = 1.93