Snell's Law describes how light refracts when it passes between different media, and an analogy using a marching band can help visualize this concept. When parts of the band slow down, the change in speed illustrates how light bends at the interface of two materials. For a clearer understanding, it's suggested to draw snapshots of the band’s movement over time. Additionally, while some explanations reference wavelet theory, it's emphasized that grasping the basic principles is essential before delving into more complex theories. Engaging with foundational resources can enhance comprehension of Snell's Law.