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>
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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|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.