Open Access
Table A.2.
Solutions of the dispersion relation for m = 8 and γ = 12.
| Mode | m | εj | η | Mj | ω [c/Rj] | Re(k) [1/Rj] | λ [mas] | Dispersion |
|---|---|---|---|---|---|---|---|---|
| Hs | 8 | 1 | 10−6 | 1.94 | 0.0010−0.0020 | 0.0030−0.0052 | 195.02−296.18 | |
| Hb1 | 8 | 1 | 10−6 | 1.94 | 0.0030−0.0044 | 0.0160−0.0190 | 45.03−50.57 | 2.166 |
| Hb2 | 8 | 1 | 10−6 | 1.94 | 0.0035−0.0047 | 0.0280−0.0300 | 26.01−26.86 | |
| Hs | 8 | 1 | 10−5 | 1.94 | 0.0024−0.0071 | 0.0065−0.0164 | 66.41−131.81 | |
| Hb1 | 8 | 1 | 10−5 | 1.94 | 0.0080−0.0160 | 0.0500−0.0620 | 14.29−15.66 | 0.384 |
| Hb2 | 8 | 1 | 10−5 | 1.94 | 0.010−0.0200 | 0.0820−0.0970 | 8.54−9.14 | |
| Hs | 8 | 1 | 10−4 | 1.94 | 0.007−0.019 | 0.018−0.044 | 24.59−48.24 | |
| Hb1 | 8 | 1 | 10−4 | 1.94 | 0.024−0.047 | 0.126−0.156 | 6.03−6.45 | 0.989 |
| Hb2 | 8 | 1 | 10−4 | 1.94 | 0.030−0.060 | 0.205−0.249 | 3.48−3.76 | |
| Hs | 8 | 1 | 0.001 | 1.94 | 0.019−0.038 | 0.038−0.077 | 15.33−26.25 | |
| Hb1 | 8 | 1 | 0.001 | 1.94 | 0.061−0.114 | 0.265−0.336 | 2.96−3.22 | 1.307 |
| Hb2 | 8 | 1 | 0.001 | 1.94 | 0.083−0.161 | 0.445−0.540 | 1.74−1.82 | |
| Hs | 8 | 0.1 | 10−5 | 4.21 | 0.0010−0.0022 | 0.0027−0.0052 | 206.16−335.70 | |
| Hb1 | 8 | 0.1 | 10−5 | 4.21 | 0.0026−0.0053 | 0.0160−0.0200 | 44.57−49.07 | 2.956 |
| Hb2 | 8 | 0.1 | 10−5 | 4.21 | 0.0032−0.0064 | 0.0270−0.0320 | 25.70−27.65 | |
| Hs | 8 | 0.1 | 10−4 | 4.21 | 0.0024−0.0066 | 0.0060−0.0150 | 73.34−146.59 | |
| Hb1 | 8 | 0.1 | 10−4 | 4.21 | 0.0075−0.0140 | 0.0440−0.0530 | 16.86−18.02 | 0.269 |
| Hb2 | 8 | 0.1 | 10−4 | 4.21 | 0.010−0.0210 | 0.0680−0.0820 | 10.78−11.35 | |
| Hs | 8 | 0.1 | 0.001 | 4.21 | 0.006−0.013 | 0.014−0.029 | 37.84−65.61 | |
| Hb1 | 8 | 0.1 | 0.001 | 4.21 | 0.022−0.042 | 0.090−0.110 | 9.65−9.66 | 0.738 |
| Hb2 | 8 | 0.1 | 0.001 | 4.21 | 0.025−0.047 | 0.150−0.180 | 4.95−5.26 | |
| Hs | 8 | 0.1 | 0.01 | 4.21 | 0.016−0.027 | 0.028−0.048 | 28.09−42.24 | |
| Hb1 | 8 | 0.1 | 0.01 | 4.21 | 0.044−0.080 | 0.150−0.190 | 5.97−6.20 | 1.003 |
| Hb2 | 8 | 0.1 | 0.01 | 4.21 | 0.051−0.091 | 0.230−0.280 | 3.48−3.67 | |
| Hs | 8 | 0.01 | 10−4 | 12.53 | 0.0010−0.0021 | 0.0026−0.0048 | 227.82−355.68 | |
| Hb1 | 8 | 0.01 | 10−4 | 12.53 | 0.0024−0.0045 | 0.0140−0.0170 | 52.60−56.70 | 3.931 |
| Hb2 | 8 | 0.01 | 10−4 | 12.53 | 0.0032−0.0068 | 0.0220−0.0260 | 34.26−35.00 | |
| Hs | 8 | 0.01 | 10−3 | 12.53 | 0.0020−0.0043 | 0.0044−0.0095 | 116.13−210.87 | |
| Hb1 | 8 | 0.01 | 10−3 | 12.53 | 0.0070−0.0140 | 0.0280−0.0364 | 29.31−31.28 | 0.404 |
| Hb2 | 8 | 0.01 | 10−3 | 12.53 | 0.0080−0.0150 | 0.0480−0.0565 | 15.85−16.45 | |
| Hs | 8 | 0.01 | 0.01 | 12.53 | 0.005−0.009 | 0.009−0.015 | 90.54−130.82 | |
| Hb1 | 8 | 0.01 | 0.01 | 12.53 | 0.014−0.025 | 0.046−0.060 | 18.76−20.52 | 0.208 |
| Hb2 | 8 | 0.01 | 0.01 | 12.53 | 0.017−0.030 | 0.073−0.088 | 11.33−11.74 | |
| Hs | 8 | 0.01 | 0.1 | 12.53 | 0.012−0.017 | 0.017−0.026 | 69.32−114.11 | |
| Hb1 | 8 | 0.01 | 0.1 | 12.53 | 0.035−0.056 | 0.070−0.092 | 17.98−18.76 | 0.260 |
| Hb2 | 8 | 0.01 | 0.1 | 12.53 | 0.043−0.078 | 0.106−0.143 | 10.11−10.44 | |
| Hs | 8 | 0.001 | 0.1 | 39.36 | 0.004−0.005 | 0.005−0.008 | 246.47−507.97 | |
| Hb1 | 8 | 0.001 | 0.1 | 39.36 | 0.012−0.016 | 0.023−0.027 | 59.67−59.69 | 7.850 |
| Hb2 | 8 | 0.001 | 0.1 | 39.36 | 0.023−0.030 | 0.040−0.050 | 32.83−38.62 | |
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