Compute the minimum-amplitude downward continuation filter of Wieczorek and Phillips (1998).
wl
= DownContFilterMa (l
, half
, r
, d
)
wl
: output, real*8
: The amplitude of the downward continuation filter.
l
: input, integer
: The spherical harmonic degree.
half
: input, integer
: The spherical harmonic degree where the filter is equal to 0.5.
r
: input, real*8
: The reference radius of the gravitational field.
d
: input, real*8
: The radius of the surface to downward continue to.
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.
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.