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SOFiA Lebedev Quadrature Grids

This function computes Lebedev quadrature nodes and weigths in the SOFiA/VariSphear data format.



ARGUMENTS

Input

Name Type Purpose Default
Degree int
Degree/Number of points

Valid Degrees are:
6, 14, 26, 38, 50, 74, 86, 110, 146, 170,
194, 230, 266, 302, 350, 434, 590, 770,
974, 1202, 1454, 1730, 2030, 2354, 2702,
3074, 3470, 3890, 4334, 4802, 5294, 5810

Call: sofia_lebedev() to obtain valid degrees
-
plot int

Schow globe plot of the grid
0: Plot off, 1: Plot on

1

Output

Name Type Purpose
gridData float mtx Quadrature grid, positions and weights (W):
AZ1 EL1 W1 AZ2 EL2 W2 ... AZM ELM WM for M Positions
Npoints int Number of sampling points
Nmax int Maximum Grid Order

Angles AZ, EL are in RAD

Example


Lebedev 50P Quadrature

FILE(S):

File Type OS/Matlab
sofia_lebedev.m Help header, Fuction All OS

SOURCE OF THE QUADRATURE

Written by: Rob Parrish, The Sherril Group, CCMST Georgia Tech. Date 03/24/2010

HEADER

/*
[gridData, Npoints, Nmax] = sofia_lebedev(degree, plot)

------------------------------------------------------------------------------------

gridData Lebedev quadrature including weigths(W):
[AZ_1 EL_1 W_1;
AZ_2 EL_2 W_2;
...
AZ_n EL_n W_n]

Npoint

Total number of nodes

Nmax

Highest stable grid order
------------------------------------------------------------------------------------
Order Lebedev Degree (Number of nodes)
Call sofia_lebedev() to obtain a
list of valid degrees

plot

Show a globe plot of the selected grid
0: Off, 1: ON [default]
*/