Overview

spherical harmonics


'spherical harmonics' can also refer to...

spherical harmonics

spherical harmonics

Regularization of spherical cap harmonics

Spherical harmonic analysis of a harmonic function given on a spheroid

A new proposal for spherical cap harmonic modelling

Analysis of lithospheric magnetization in vector spherical harmonics

On the efficient calculation of ordinary and generalized spherical harmonics

Imaging on a sphere with interferometers: the spherical wave harmonic transform

Parametrizing surface wave tomographic models with harmonic spherical splines

Scalar and vector spherical harmonic spectral equations of rotating magnetohydrodynamics

Projected bispectrum in spherical harmonics and its application to angular galaxy catalogues

Orthogonality and mean squares of the vector fields given by spherical cap harmonic potentials

Assessment of regional geomagnetic field modelling methods using a standard data set: spherical cap harmonic analysis

Wavelet frames:An alternative to spherical harmonic representation of potential fields

Worldwide features of magnetic storms using spherical harmonic analysis of Intermagnet data

A more realistic estimate of the variances and systematic errors in spherical harmonic geomagnetic field models

Earth's lithospheric magnetic field determined to spherical harmonic degree 90 from CHAMP satellite measurements

Surface wave ray tracing and azimuthal anisotropy: a generalized spherical harmonic approach

On the derivation of the Earth's conductivity structure by means of spherical cap harmonic analysis

 

More Like This

Show all results sharing this subject:

  • Physics

GO

Show Summary Details

Quick Reference

The natural vibrations of an elastic sphere. Spherical harmonics may be used to describe the normal modes of oscillation of spherically shaped objects. They have been used mathematically to model systems as diverse as the surface of the sun and the atomic nucleus. Each harmonic has two identifying indices that distinguish it from other spherical harmonic waveforms. On the surface of a vibrating sphere, certain nodal circles appear, where the surface is at rest. The number of these nodal circles for a given spherical harmonic is called its order n; n is one of the indices used to identify the normal mode. The second identification index corresponds to the number m of nodal circles, which pass through the poles of the vibrating sphere. A general property of spherical harmonics is that if a nodal circle does not pass through the poles of the sphere, then it must lie in a plane parallel to the sphere's equator. Consequently all nodal circles are lines of definite latitude or longitude.

Spherical harmonics.

Subjects: Physics.


Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.