Refraction Redux

el es

Registered Senior Member
Third Model

Unity Hypotenuse Model

Given an angle of incidence, the path of the ray in free space can be used as the hypotenuse and set to 1. A right angle triangle can then be constructed in free space. This triangle in free space can then be transformed into a triangle in a refractive medium keeping the hypotenuse of 1 invariant.

Knowing the refractive index of the material, then the value of x is X/R.I.

The value of t is determined by x^2 + t^2 = 1

This model or template is not about length contraction or time dilation.

For a given unit of time, a photon in free space will have a greater displacement in space than in a refractive medium. For a given distance, it will take a photon in a refractive medium a longer time than in free space.

As a worldline.

Pythagorean treatment