Table 2 The coefficients of the optimised states with \({n}_{\max }=7\) photons.
Distance | a0 | a1 | a2 | a3 | a4 | a5 | a6 | a7 |
|---|---|---|---|---|---|---|---|---|
(km) | b0 | b1 | b2 | b3 | b4 | b5 | b6 | b7 |
0 | 0.0823 | 0.1162 | 0.1432 | 0.1582 | 0.1582 | 0.1432 | 0.1162 | 0.0823 |
0.5 | 0.1073 | 0.1359 | 0.1557 | 0.1603 | 0.1496 | 0.1267 | 0.0968 | 0.0676 |
1 | 0.1226 | 0.1472 | 0.1616 | 0.1600 | 0.1438 | 0.1174 | 0.0868 | 0.0605 |
2.5 | 0.1550 | 0.1705 | 0.1710 | 0.1567 | 0.1307 | 0.0994 | 0.0691 | 0.0477 |
5 | 0.1967 | 0.2012 | 0.1786 | 0.1483 | 0.1129 | 0.0787 | 0.0508 | 0.0329 |
10 | 0.4468 | 0.3137 | 0.1410 | 0.0601 | 0.0245 | 9.4433 × 10−3 | 3.3895 × 10−3 | 1.1308 × 10−3 |
15 | 0.6654 | 0.2955 | 0.0366 | 2.4273 × 10−3 | 1.1213 × 10−4 | 3.9036 × 10−6 | 9.8873 × 10−8 | 0 |
20 | 0.7230 | 0.2608 | 0.0160 | 2.8606 × 10−4 | 2.1895 × 10−6 | 3.2584 × 10−9 | 0 | 0 |
25 | 0.7548 | 0.2366 | 8.5496 × 10−3 | 4.9545 × 10−5 | 6.2159 × 10−8 | 0 | 0 | 0 |
30 | 0.7760 | 0.2189 | 5.0283 × 10−3 | 1.0464 × 10−5 | 0 | 0 | 0 | 0 |
50 | 0.8176 | 0.1811 | 1.3468 × 10−3 | 1.2642 × 10−7 | 0 | 0 | 0 | 0 |
100 | 0.8477 | 0.1520 | 3.3582 × 10−4 | 0 | 0 | 0 | 0 | 0 |
200 | 0.8571 | 0.1427 | 1.9467 × 10−4 | 0 | 0 | 0 | 0 | 0 |
