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. 2013 Jan 2;21(1):87–101. doi: 10.1364/OE.21.000087

Table 1.

Normalized Euclidean-norm error ε2 [given by Eq. (22)] over the xz plane for the approximation in Eq. (8).

f 0 Cubature rules
Equally-spaced sx, sy (EQ) 20×8 Gauss-Legendre (GL) 127-point cubature (CC)
(0,0) mode (1,0) mode (0,0) mode (1,0) mode (0,0) mode (1,0) mode
0.4 0.96% 1.07% 3.72% 0.92% 1.62% 3.70%
0.5 1.58% 2.83% 3.01% 1.16% 1.89% 4.02%
0.6 3.38% 5.78% 2.68% 1.86% 2.88% 5.30%