When a ray of light passes from a region with an index of refraction n₁ into a region with a different index of refraction n₂, the light ray is bent. The angle at which the light is bent is given by Snells Law

where ₁ is the angle of incidence of the light in the first region, and ₂ is the angle of incidence of the light in the second region. Using Snells Law, it is possible to predict the angle of incidence of a light ray in Region 2 if the angle of incidence ₁ in Region 1 and the indices of refraction n₁ and n₂ are known. The equation to perform this calculation is

₂ = sin^-1[n₁/n₂ sin ₁]

Write a matlab program to calculate the angle of incidence (in degrees) of a light ray in Region 2 given the angle of incidence ₁ in Region 1 and the indices of refraction n₁ and n₂. (Note: If n₁>n₂, then for some angles ₁, the equation will have no real solution because the absolute value of the quantity [n₁/n₂ sin ₁] will be greater than 1.0. when this occurs, all light is reflected back into Region 1, and no light passes into Region 2 at all. Your program must be able to recognize and properly handle this condition.)

The program should also create a plot showing the incident ray, the boundary between the two regions, and the refracted ray on the other side of the boundary.