Definition:Sectoral Harmonic

This page is about Sectoral Harmonic. For other uses, see harmonic.

Definition

A sectoral harmonic is a surface harmonic in the form:

$\cos m \phi \, \map { {P_n}^m} {\cos \theta}$

or:

$\sin m \phi \, \map { {P_n}^m} {\cos \theta}$

such that $m = n$.

Also see

• Definition:Tesseral Harmonic, for the case where $m < n$

• Results about sectoral harmonics can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): harmonic
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): harmonic: 2.