Distribution type

Optimal values (non-dimensional)

$P_{\text{tot,opt}}$

${r_{\text{opt}}|}_{P_{\text{tot,opt}}}$

${E_{\text{tot,opt}}|}_{P_{\text{tot,opt}}}$

Gaussian

3.10

0.725

10.7

Super-Gaussian ( $n=10$ )

2.73

0.746

7.99

Flat-top

2.62

0.742

7.17