Table 3
Photon-photon optical depth as a function of energy and redshift.
| Energy | τ(z,Eγ) | τ(z,Eγ) | τ(z,Eγ) | τ(z,Eγ) | τ(z,Eγ) | τ(z,Eγ) | τ(z,Eγ) | τ(z,Eγ) | τ(z,Eγ) |
| [TeV] | z = 0.01 | z = 0.03 | z = 0.1 | z = 0.3 | z = 0.5 | z = 1.0 | z = 1.5 | z = 2.0 | z = 3.0 |
|
|
|||||||||
| 0.0200 | 2.91E-19 | 8.692E-19 | 2.758E-18 | 4.659E-07 | 1.167E-03 | 0.0545 | 0.2543 | 0.5830 | 1.206 |
| 0.0240 | 2.91E-19 | 8.692E-19 | 2.758E-18 | 8.606E-05 | 3.773E-03 | 0.0946 | 0.3564 | 0.7786 | 1.528 |
| 0.0289 | 2.91E-19 | 8.692E-19 | 2.758E-18 | 6.880E-04 | 9.205E-03 | 0.1390 | 0.4979 | 1.037 | 1.928 |
| 0.0347 | 2.91E-19 | 8.692E-19 | 4.388E-06 | 2.531E-03 | 1.899E-02 | 0.2100 | 0.6946 | 1.374 | 2.420 |
| 0.0417 | 2.11E-07 | 2.832E-06 | 1.523E-04 | 6.572E-03 | 3.506E-02 | 0.3138 | 0.9642 | 1.806 | 3.016 |
| 0.0502 | 2.12E-05 | 9.445E-05 | 8.587E-04 | 1.402E-02 | 6.016E-02 | 0.4659 | 1.325 | 2.352 | 3.730 |
| 0.0603 | 1.13E-04 | 4.241E-04 | 2.546E-03 | 2.635E-02 | 9.868E-02 | 0.6841 | 1.797 | 3.028 | 4.574 |
| 0.0726 | 3.14E-04 | 1.103E-03 | 5.605E-03 | 4.571E-02 | 0.1577 | 0.9877 | 2.400 | 3.847 | 5.556 |
| 0.0873 | 6.64E-04 | 2.258E-03 | 1.058E-02 | 7.572E-02 | 0.2476 | 1.396 | 3.151 | 4.817 | 6.681 |
| 0.104 | 1.22E-03 | 4.097E-03 | 1.849E-02 | 0.1221 | 0.3814 | 1.929 | 4.060 | 5.935 | 7.960 |
| 0.126 | 2.12E-03 | 7.039E-03 | 3.104E-02 | 0.1928 | 0.5738 | 2.602 | 5.129 | 7.194 | 9.406 |
| 0.151 | 3.55E-03 | 1.167E-02 | 5.045E-02 | 0.2971 | 0.8389 | 3.425 | 6.342 | 8.576 | 11.06 |
| 0.182 | 5.74E-03 | 1.872E-02 | 7.953E-02 | 0.4447 | 1.188 | 4.394 | 7.672 | 10.07 | 12.97 |
| 0.219 | 8.96E-03 | 2.907E-02 | 0.1216 | 0.6441 | 1.629 | 5.490 | 9.091 | 11.71 | 15.24 |
| 0.263 | 1.36E-02 | 4.378E-02 | 0.1800 | 0.9006 | 2.163 | 6.681 | 10.57 | 13.55 | 17.99 |
| 0.316 | 1.98E-02 | 6.367E-02 | 0.2573 | 1.214 | 2.781 | 7.928 | 12.13 | 15.70 | 21.35 |
| 0.381 | 2.80E-02 | 8.935E-02 | 0.3540 | 1.580 | 3.465 | 9.193 | 13.85 | 18.29 | 25.55 |
| 0.458 | 3.79E-02 | 0.1205 | 0.4683 | 1.988 | 4.187 | 10.46 | 15.83 | 21.47 | 31.00 |
| 0.550 | 4.95E-02 | 0.1563 | 0.5963 | 2.420 | 4.918 | 11.75 | 18.20 | 25.40 | 38.11 |
| 0.662 | 6.22E-02 | 0.1953 | 0.7337 | 2.858 | 5.630 | 13.14 | 21.10 | 30.39 | 47.92 |
| 0.796 | 7.56E-02 | 0.2364 | 0.8742 | 3.282 | 6.306 | 14.74 | 24.72 | 36.89 | 61.48 |
| 0.957 | 8.89E-02 | 0.2768 | 1.010 | 3.678 | 6.942 | 16.65 | 29.37 | 45.61 | 81.33 |
| 1.15 | 0.101 | 0.3152 | 1.137 | 4.039 | 7.564 | 19.03 | 35.50 | 57.71 | 110.4 |
| 1.38 | 0.113 | 0.3501 | 1.251 | 4.368 | 8.223 | 22.05 | 43.75 | 75.25 | 153.5 |
| 1.66 | 0.123 | 0.3810 | 1.352 | 4.685 | 8.990 | 26.01 | 55.34 | 101.6 | 216.5 |
| 2.000 | 0.132 | 0.4076 | 1.442 | 5.029 | 9.957 | 31.34 | 72.36 | 142.1 | 305.3 |
| 2.40 | 0.140 | 0.4318 | 1.528 | 5.452 | 11.21 | 38.75 | 98.22 | 204.1 | 428.1 |
| 2.89 | 0.147 | 0.4560 | 1.627 | 6.017 | 12.88 | 49.44 | 138.5 | 296.5 | 589.3 |
| 3.47 | 0.157 | 0.4863 | 1.756 | 6.783 | 15.16 | 65.46 | 201.3 | 428.0 | 793.1 |
| 4.17 | 0.170 | 0.5284 | 1.938 | 7.825 | 18.32 | 90.25 | 296.0 | 606.7 | 1040. |
| 5.02 | 0.188 | 0.5887 | 2.195 | 9.254 | 22.88 | 129.3 | 431.7 | 836.3 | 1328. |
| 6.03 | 0.215 | 0.6732 | 2.539 | 11.24 | 29.62 | 190.3 | 615.8 | 1115. | 1649. |
| 7.26 | 0.250 | 0.7847 | 3.011 | 14.14 | 39.94 | 281.8 | 851.4 | 1439. | 1998. |
| 8.73 | 0.301 | 0.9447 | 3.680 | 18.50 | 56.15 | 411.0 | 1134. | 1796. | 2361. |
| 10.5 | 0.373 | 1.171 | 4.662 | 25.23 | 81.67 | 582.1 | 1458. | 2172. | 2727. |
| 12.6 | 0.479 | 1.513 | 6.175 | 35.83 | 121.1 | 795.1 | 1806. | 2546. | 3080. |
| 15.2 | 0.646 | 2.048 | 8.516 | 52.53 | 179.6 | 1043. | 2163. | 2905. | 3406. |
| 18.2 | 0.901 | 2.871 | 12.18 | 78.21 | 260.5 | 1315. | 2505. | 3235. | 3699. |
| 21.9 | 1.30 | 4.162 | 17.95 | 115.9 | 365.0 | 1596. | 2821. | 3516. | 3941. |
| 26.4 | 1.92 | 6.177 | 26.78 | 167.9 | 491.0 | 1869. | 3090. | 3742. | 4129. |
| 31.7 | 2.86 | 9.181 | 39.64 | 234.1 | 633.0 | 2119. | 3306. | 3910. | 4258. |
| 38.1 | 4.22 | 13.47 | 57.24 | 312.4 | 781.9 | 2330. | 3462. | 4016. | 4325. |
| 45.8 | 6.05 | 19.14 | 79.29 | 398.3 | 927.3 | 2494. | 3555. | 4055. | 4331. |
| 55.1 | 8.29 | 26.00 | 104.6 | 485.1 | 1059. | 2604. | 3585. | 4034. | 4278. |
| 66.2 | 10.8 | 33.59 | 131.5 | 566.2 | 1168. | 2658. | 3555. | 3958. | 4168. |
| 79.6 | 13.4 | 41.42 | 158.0 | 635.6 | 1248. | 2659. | 3470. | 3829. | 4013. |
| 95.7 | 15.9 | 48.81 | 181.3 | 688.3 | 1294. | 2609. | 3340. | 3657. | 3816. |
| 115. | 18.1 | 54.98 | 199.9 | 721.9 | 1307. | 2518. | 3171. | 3451. | 3587. |
| 138. | 19.9 | 59.82 | 213.4 | 735.3 | 1290. | 2393. | 2974. | 3220. | 3338. |
| 166. | 21.0 | 63.03 | 220.5 | 729.6 | 1247. | 2244. | 2759. | 2975. | 3076. |
Notes. The absorption multiplicative factor is e− τ(z,Eγ).
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.