wave-spectrum-truncation

Spherical Harmonics Truncation

The table shows several animations of an N-truncated representation of a plane wave and a Green's function. A rough rule of thumb:

We need an increase of the order by 6 for to increase the radius of accurate representation by one wave-length

A very interesting fact when designing appropriate playback for a big sweet-spot.

	plane wave	Green's function at z/lambda=2
N=0		note that this column uses all two kinds of base solutions regular base solutions (red/blue) singular base solutions (magenta/cyan)
N=1
N=3
N=6
N=13

Franz Zotter, 2008.