# Difference between revisions of "Spherical harmonics"

From Glossary of Meteorology

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− | <div class="definition"><div class="short_definition">In analogy to [[harmonic]] functions in the plane, the solutions of the [[Laplace equation]] in [[spherical coordinates]].</div><br/> <div class="paragraph">Spherical surface harmonics are special sets taken over the surface of a sphere; therefore, the harmonic components are restricted to an integral number of waves over the sphere. Spherical harmonics have been applied in the study of the large-scale oscillations of the [[atmosphere]].</div><br/> </div> | + | <div class="definition"><div class="short_definition">In analogy to [[harmonic]] functions in the plane, the solutions of the [[Laplace equation|Laplace equation]] in [[spherical coordinates]].</div><br/> <div class="paragraph">Spherical surface harmonics are special sets taken over the surface of a sphere; therefore, the harmonic components are restricted to an integral number of waves over the sphere. Spherical harmonics have been applied in the study of the large-scale oscillations of the [[atmosphere]].</div><br/> </div> |

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## Latest revision as of 16:57, 25 April 2012

## spherical harmonics

In analogy to harmonic functions in the plane, the solutions of the Laplace equation in spherical coordinates.

Spherical surface harmonics are special sets taken over the surface of a sphere; therefore, the harmonic components are restricted to an integral number of waves over the sphere. Spherical harmonics have been applied in the study of the large-scale oscillations of the atmosphere.