A mathematical explanation for total internal reflection is that when you compute the sin value for the exit angle, it will be larger than 1. So, in this case, Snall's law does not work anymore.

LeslieTrue

In physics, it's common to represent light as complex exponential forms such that we can more elegantly represent refraction. This is breifly included in wiki https://en.wikipedia.org/wiki/Refractive_index

sZwX74

One interesting thing to note is that total internal reflection is the driving force behind optical fibers. The light stays within the cable even when it twists and turns.

A mathematical explanation for total internal reflection is that when you compute the sin value for the exit angle, it will be larger than 1. So, in this case, Snall's law does not work anymore.

In physics, it's common to represent light as complex exponential forms such that we can more elegantly represent refraction. This is breifly included in wiki https://en.wikipedia.org/wiki/Refractive_index

One interesting thing to note is that total internal reflection is the driving force behind optical fibers. The light stays within the cable even when it twists and turns.