SHTOOLS --- Tools for working with spherical harmonics

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DownContFilterMA

Compute the minimum-amplitude downward continuation filter of Wieczorek and Phillips (1998).

Usage

wl = pyshtools.DownContFilterMa (l, half, r, d)

Returns

wl : float
The amplitude of the downward continuation filter.

Parameters

l : integer
The spherical harmonic degree.
half : integer
The spherical harmonic degree where the filter is equal to 0.5.
r : float
The reference radius of the gravitational field.
d : float
The radius of the surface to downward continue to.

Description

DownContFilterMA will calculate the downward continuation filter of Wieczorek and Phillips (1998; eq. 19) for a given spherical harmonic degree l. The input parameters include half, which is the degree where the filter is equal to 0.5, and r and d, which are the reference radius of the gravitational field and the radius of the surface to downward continue to, respectively.

References

Wieczorek, M. A. and R. J. Phillips, Potential anomalies on a sphere: applications to the thickness of the lunar crust, J. Geophys. Res., 103, 1715-1724, 1998.

See also

downcontfiltermc, batohilmdh batohilmrhohdh

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