CMB / Lowermost Mantle Joint Tomographic Model

<p>Output model for Muir, Tanaka and Tkalčić</p> <p>Description of included data files:&nbsp;</p> <p>corrmat.dat - correlation matrix between slowness &amp; radius perturbation coefficients; order of coefficients is (0,0), (1,-1), (1,0)....(8,8) for slowness, and then the same for radius<br> drpowers.dat - power per degree l for radius perturbation, column 1 = l, column 2 = mean, column 3 = 5%ile, column 4 = 95%ile<br> vppowers.dat - power per degree l for Vp perturbation, column 1 = l, column 2 = mean, column 3 = 5%ile, column 4 = 95%ile (using 13.61 km/s reference velocity)<br> m_dr.dat - summary statistics for radius perturbation coefficients, column 1 = l, column 2 = m, column 3 = mean, column 4 = 5%ile, column 5 = 95%ile<br> m_ds.dat - summary statistics for slowness perturbation coefficients, column 1 = l, column 2 = m, column 3 = mean, column 4 = 5%ile, column 5 = 95%ile<br> spatialcorr.dat - spatial correlation between slowness and radius, column 1 = latitude, column 2 = longitude, column 3 = correlation<br> tomodata.dat - summary statistics for Vp, column 1 = latitude, column 2 = longitude, column 3 = mean, column 4 = std dev<br> topodata.dat - summary statistics for radius, column 1 = latitude, column 2 = longitude, column 3 = mean, column 4 = std dev</p> <p>Spherical harmonics are given by&nbsp;<br> Y^m_l(phi, theta) = sqrt(2)*sqrt(((2l+1)(l-m)!)/(4pi(l+m)!)) cos(m phi) P^m_l(cos(theta)); m&gt;0<br> Y^m_l(phi, theta) = sqrt(2)*sqrt(((2l+1)(l-m)!)/(4pi(l+m)!)) sin(-m phi) P^(-m)_l(cos(theta)); m&lt;0<br> Y^m_l(phi, theta) = sqrt(((2l+1)(l-m)!)/(4pi(l+m)!)) P^(-m)_l(cos(theta)); m=0</p> <p>where P^m_l is the associated legendre function including the Condon-Shortley phase</p>