Efficient iterative tip/tilt reconstruction for atmospheric tomography

Figures & data

Figure 1. Atmospheric tomography: measurements from natural guide stars (l) and influence of the cone effect (r).

Figure 2. Domain for the evaluation of ${\mathbf{N}}_{{\mathit{\beta }}_1}^{\ast }$.

Figure 3. Reconstructed $\mathbf{\Phi }$ for ${\mathbf{t}}_{{\mathit{\beta }}_1}={(0,1)}^T$ (left) and function values of $\mathbf{\Phi }$ along a vertical line through the center of the ellipse (right, the line is also depicted in the left image).

Figure 4. Reconstructed $\mathbf{\Phi }$ for ${\mathbf{t}}_{{\mathit{\beta }}_1}={(1,0)}^T$ (left) and for ${\mathbf{t}}_{{\mathit{\beta }}_1}{(\sqrt{2},\sqrt{2})}^T$ (right).

Table 1. Location of the layers in the atmosphere.

Layer	1	2	3	4	5	6	7	8	9
Height (m)	47	140	281	562	1125	2250	4500	9000	18,000
$c_n^2$-profile	0.52	0.027	0.04	0.12	0.1	0.03	0.06	0.043	0.06

Figure 5. Position of NGS (star) and LGS (circle).

Figure 6. Tip/tilt ansatz functions ${\mathbf{u}}_i^1,i=1,2,3$ (first row) and ${\mathbf{u}}_i^2,i=1,2,3$ (second row) on layer 9.

Figure 7. Contour plot of the Strehl ratio for the integrated (left) and separated (right) approach.

Figure 8. Short and long exposure on-axis Strehl ratios for MVM, separated and integrated reconstructors. The test was carried out with a photon flux of 10,000.

Figure 9. Short and long exposure on-axis Strehl ratios for MVM, separated and integrated reconstructors. The test was carried out with a photon flux of 500.

Figure 10. LE Strehl ratios, averaged over the field of view, over photon flux level for MVM, separated and integrated reconstructors.