In the case of Ex1 (, w = 2 cm), we give, in order to be specific, some values of
(see
Table 7). The number of terms for a good reconstruction of the lenses and of the surface is about 15. The
coefficient gives the mean curvature over the whole circular aperture of the mirror. Thus
there is no relation between
and the curvature averaged and weighted by the intensity
profile.
lensing: | lensing: | aberration: | aberration: | |
heating | heating | heating | heating | |
by bulk | by coating | by coating | by bulk | |
![]() |
µm/W | µm/W | nm/W | nm/W |
0 | 0.940 | 0.873 | 140.76 | 25.85 |
1 | ![]() |
![]() |
34.79 | ![]() |
2 | 0.470 | ![]() |
![]() |
12.25 |
3 | ![]() |
![]() |
17.95 | ![]() |
4 | 0.250 | 0.239 | ![]() |
5.06 |
5 | ![]() |
![]() |
10.38 | ![]() |
6 | 0.151 | 0.146 | ![]() |
2.27 |
7 | ![]() |
![]() |
6.50 | ![]() |
8 | 0.095 | 0.092 | ![]() |
1.10 |
9 | ![]() |
![]() |
4.14 | ![]() |
10 | 0.060 | 0.059 | ![]() |
0.57 |
11 | ![]() |
![]() |
2.61 | ![]() |
12 | 0.038 | 0.037 | ![]() |
![]() |
13 | ![]() |
![]() |
1.61 | ![]() |
14 | 0.023 | 0.022 | ![]() |
0.16 |
Reconstruction of an mode requires many polynomials due to the sharp and far-from-spherical
power profile of the beam. For higher-order modes and a fortiori for a flat or mesa mode, the reconstruction
is achieved with fewer polynomials. In Table 8 we give the results of our
mode (Ex3), and in
Table 9 for the mesa mode (the figures are quite similar for the flat mode).
lensing: | lensing: | aberration: | aberration: | |
heating | heating | heating | heating | |
by bulk | by coating | by coating | by bulk | |
![]() |
µm/W | µm/W | nm/W | nm/W |
0 | 0.817 | 0.865 | 16.48 | 24.21 |
1 | ![]() |
![]() |
13.00 | ![]() |
2 | 0.044 | 0.046 | ![]() |
1.38 |
3 | ![]() |
![]() |
1.058 | ![]() |
4 | 0.021 | 0.022 | ![]() |
0 |
5 | ![]() |
![]() |
0.135 | 0 |
6 | ![]() |
![]() |
0.314 | 0 |
7 | 0.001 | 0.001 | ![]() |
0 |
8 | ![]() |
![]() |
0.091 | 0 |
9 | 0.006 | 0.007 | ![]() |
0 |
10 | ![]() |
![]() |
0.315 | 0 |
lensing: | lensing: | aberration: | aberration: | |
heating | heating | heating | heating | |
by bulk | by coating | by coating | by bulk | |
![]() |
µm/W | µm/W | nm/W | nm/W |
0 | 0.845 | 0.895 | 30.81 | 25.05 |
1 | ![]() |
![]() |
22.25 | ![]() |
2 | 0.147 | 0.155 | ![]() |
4.12 |
3 | ![]() |
![]() |
0 | 0 |
4 | ![]() |
![]() |
0 | 0 |
5 | 0.008 | 0.008 | 0 | 0 |
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