Multipole Component Animation

Here is an animation going up to l=24 showing the l+1 components of each step. Notice that for each l we have a series of m's with m sinusoidal cycles in azimuth each, and l ``cycles'' going around a meridian. Notice also that for m small the pattern is concentrated near the poles, while for m large the pattern moves down to the equator. These two facts combined mean that the angular scale of the pattern summing over the m's at a given l is the same at all latitudes. The range of the color scale is indicated (held constant for each l). Notice that the patterns become somewhat more peaky as l increases.

This page prepared by Clem Pryke (