Here are the plots of displacement fields due to spherical harmonics of degree 1, 2 and 3. Displacement is defined as

- D
_{1}(z) = a * cos z - D
_{2}(z) = a * ( 3/2 cos^{2}z - 1/2) - D
_{3}(z) = a * ( 5/2 cos^{3}z - 3/2 cos z )

Spherical harmonic functions of degree 1

Spherical harmonic functions of degree 2

Spherical harmonic functions of degree 3

Another example. Three plots are shown here:

- black -- orginal, underformed surface
- blue -- field of displacements D
_{1}(z) = 0.33 * cos z - red -- the sphere shifted up at 0.33

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Last update: 08-JUL-2002 19:19:58
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