Velocity Change: Refraction occurs because EM waves travel at different speeds in different media; while they all travel at m/s in a vacuum, they slow down when entering denser materials like glass or water.
Wavefront Alignment: As a wave hits a boundary at an angle, one side of the wavefront enters the new medium and changes speed before the other side, causing the entire wave to pivot or bend.
The Refractive Index: This is a dimensionless number that describes how much a medium slows down a wave, defined by the ratio , where is the speed in the medium.
Identify the Normal: Always draw the normal line perpendicular to the boundary at the point of incidence before attempting to draw or calculate angles.
Angle Measurement: Ensure all angles (incidence, reflection, refraction) are measured between the ray and the normal, never between the ray and the surface of the material.
Frequency Invariance: Remember that when a wave refracts, its frequency remains constant; only the speed and wavelength change to satisfy the wave equation .
Sanity Check: If a ray enters a denser medium (like water from air), the angle of refraction must be smaller than the angle of incidence.