A toroidal field is the toroidal component in a partition of a divergenceless field into toroidal and poloidal parts. This separation is important in geo-
and heliophysics, and in particular in dynamo theory and helioseismology. The toroidal
field is defined as
which can additionally be multiplied by a radial weighting function .
This is equivalent to the definition
where
is a scalar function and the gradient is taken in spherical coordinates.
.
is a scalar function and the gradient is taken in spherical coordinates.
