Spherical harmonic
From Glossary of Meteorology
Revision as of 19:02, 26 January 2012 by imported>Perlwikibot (Created page with " {{TermHeader}} {{TermSearch}} <div class="termentry"> <div class="term"> == spherical harmonic == </div> <div class="definition"><div class="short_definition">An analy...")
spherical harmonic
An analytic basis function on the sphere that is commonly used in a spectral model.
A spherical harmonic is defined for each total wavenumber n and zonal wavenumber m as the following function of sine of latitude μ and longitude λ: where Pm,n is the associated Legendre function defined as The spherical harmonic basis functions satisfy the orthogonal relationship and they satisfy the elliptic equation on the sphere:
