Circles of Light: The Mathematics of Rainbows

How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This lab helps to answer these and other questions by examining a mathematical model of light passing through a water droplet. The lab uses Fermat's Principle of least-time to derive the Law of Reflection and the Law of Refraction. The student applies knowledge of derivatives to a problem in the physical sciences. Problems and solutions are presented that explore the relation of reflection and refraction of light.

Not available.

University of Minnesota

Math, Physics, Science (General), Weather and Meteorology

Science and Math

All