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Table A.1.

Solutions of the dispersion relation for m = 16 and γ = 12.

Mode m εj η Mj ω [c/Rj] Re(k) [1/Rj] λ [mas] Dispersion
Hs 16 10 10−7 1.55 0.0019−0.0052 0.0054−0.0117 96.69−167.61
Hb1 16 10 10−7 1.55 0.0053−0.014 0.0310−0.0380 23.82−25.59 0.135
Hb2 16 10 10−7 1.55 0.0070−0.0120 0.0520−0.0590 14.00−14.62
Hs 16 1 10−6 1.94 0.0018−0.0050 0.0052−0.0110 103.97−171.92
Hb1 16 1 10−6 1.94 0.0050−0.010 0.0310−0.0380 23.48−25.29 0.171
Hb2 16 1 10−6 1.94 0.0060−0.0125 0.0500−0.0590 14.15−14.96
Hs 16 1 10−5 1.94 0.0055−0.0150 0.0160−0.0340 32.91−55.65
Hb1 16 1 10−5 1.94 0.0150−0.0280 0.0900−0.1100 8.02−8.77 0.774
Hb2 16 1 10−5 1.94 0.0205−0.0400 0.1300−0.1600 5.48−6.01
Hs 16 1 10−4 1.94 0.012−0.034 0.033−0.076 14.7−26.7
Hb1 16 1 10−4 1.94 0.050−0.090 0.180−0.230 4.69−5.05 1.207
Hb2 16 1 10−4 1.94 0.050−0.090 0.310−0.365 2.39−2.53
Hs 16 1 0.001 1.94 0.023−0.056 0.046−0.105 12.23−21.57
Hb1 16 1 0.001 1.94 0.086−0.151 0.310−0.400 2.63−2.93 1.358
Hb2 16 1 0.001 1.94 0.127−0.221 0.520−0.630 1.61−1.67
Hs 16 0.1 10−5 4.21 0.0018−0.0050 0.0050−0.0110 103.97−180.10
Hb1 16 0.1 10−5 4.21 0.0050−0.010 0.0290−0.0360 25.28−27.40 0.187
Hb2 16 0.1 10−5 4.21 0.0060−0.0110 0.0450−0.0520 16.05−16.87
Hs 16 0.1 2 × 10−5 4.21 0.0025−0.0067 0.0070−0.0150 75.20−128.62
Hb1 16 0.1 2 × 10−5 4.21 0.0064−0.0120 0.0380−0.0460 19.34−20.81 0.183
Hb2 16 0.1 2 × 10−5 4.21 0.010−0.0220 0.0570−0.0710 13.42−14.00
Hs 16 0.1 5 × 10−5 4.21 0.0040−0.010 0.010−0.0230 48.22−93.20
Hb1 16 0.1 5 × 10−5 4.21 0.010−0.0190 0.0500−0.0600 16.04−16.45 0.332
Hb2 16 0.1 5 × 10−5 4.21 0.0130−0.0260 0.0770−0.0940 9.67−10.28
Hs 16 0.1 10−4 4.21 0.0045−0.0126 0.0129−0.0286 38.88−68.18
Hb1 16 0.1 10−4 4.21 0.0160−0.0330 0.0600−0.0800 13.98−14.94 0.487
Hb2 16 0.1 10−4 4.21 0.0170−0.0325 0.1−0.1200 7.51−7.92
Hs 16 0.1 5 × 10−4 4.21 0.0060−0.0160 0.0150−0.0360 30.45−58.02
Hb1 16 0.1 5 × 10−4 4.21 0.0300−0.0500 0.0900−0.1200 9.35−10.90 0.755
Hb2 16 0.1 5 × 10−4 4.21 0.0300−0.0600 0.1600−0.1900 5.06−5.06
Hs 16 0.1 0.001 4.21 0.007−0.017 0.017−0.038 28.71−53.06
Hb1 16 0.1 0.001 4.21 0.033−0.057 0.107−0.140 7.88−8.84 0.972
Hb2 16 0.1 0.001 4.21 0.050−0.090 0.186−0.236 4.50−4.84
Hs 16 0.1 0.01 4.21 0.019−0.035 0.030−0.056 27.79−43.23
Hb1 16 0.1 0.01 4.21 0.063−0.110 0.160−0.210 6.56−6.77 0.972
Hb2 16 0.1 0.01 4.21 0.080−0.140 0.250−0.320 3.65−3.87
Hs 16 0.01 10−4 12.53 0.0015−0.0041 0.0042−0.0092 121.71−211.18
Hb1 16 0.01 10−4 12.53 0.0050−0.010 0.0200−0.0260 39.00−41.94 0.499
Hb2 16 0.01 10−4 12.53 0.0054−0.010 0.0320−0.0390 22.68−24.73
Hs 16 0.01 10−3 12.53 0.0024−0.0055 0.0054−0.0122 89.69−166.25
Hb1 16 0.01 10−3 12.53 0.0110−0.0190 0.0340−0.0450 25.14−28.41 0.096
Hb2 16 0.01 10−3 12.53 0.0160−0.0310 0.0600−0.0760 14.61−14.95
Hs 16 0.01 2 × 10−3 12.53 0.0030−0.0060 0.0060−0.0130 85.19−157.74
Hb1 16 0.01 2 × 10−3 12.53 0.0120−0.0200 0.0330−0.0490 22.55−31.01 0.075
Hb2 16 0.01 2 × 10−3 12.53 0.0190−0.0330 0.0660−0.0830 13.14−13.99
Hs 16 0.01 6 × 10−3 12.53 0.0045−0.0084 0.0078−0.0152 85.60−140.39
Hb1 16 0.01 6 × 10−3 12.53 0.0150−0.0250 0.0440−0.0570 20.47−22.59 0.155
Hb2 16 0.01 6 × 10−3 12.53 0.0210−0.0360 0.0720−0.0890 12.40−12.89
Hs 16 0.01 0.01 12.53 0.006−0.011 0.01−0.018 84.37−126.43
Hb1 16 0.01 0.01 12.53 0.019−0.033 0.049−0.066 19.86−21.85 0.174
Hb2 16 0.01 0.01 12.53 0.025−0.045 0.079−0.100 11.95−12.18
Hs 16 0.01 0.1 12.53 0.015−0.022 0.020−0.029 87.23−114.63
Hb1 16 0.01 0.1 12.53 0.047−0.078 0.077−0.111 19.85−21.84 0.183
Hb2 16 0.01 0.1 12.53 0.070−0.120 0.125−0.180 10.94−11.94
Hs 16 0.001 0.1 39.36 0.005−0.007 0.006−0.009 302.69−520.51
Hb1 16 0.001 0.1 39.36 0.016−0.021 0.025−0.031 65.50−72.76 9.963
Hb2 16 0.001 0.1 39.36 0.027−0.035 0.045−0.051 41.00−36.48

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