Table I
Dimensions of the first harmonic of Lorentz curves as a function of modulation, for the case of negligible sweep rates. All dimensions, as shown in Fig. 1, and the modulation, are in terms of the line width, Γ.
Modulation (Hθ) | 2P | W | D | Hθ/(W+D) | D/W |
---|
0.0 | 1.155 | 1.214 | 0.1722 | 0.0000 | 0.1419 |
0.1 | 1.163 | 1.219 | 0.1737 | 0.0718 | 0.1425 |
0.3 | 1.231 | 1.254 | 0.1864 | 0.2082 | 0.1486 |
0.5 | 1.362 | 1.320 | 0.2107 | 0.3268 | 0.1597 |
0.7 | 1.546 | 1.405 | 0.2470 | 0.4237 | 0.1758 |
0.9 | 1.774 | 1.507 | 0.2938 | 0.4997 | 0.1949 |
1.1 | 2.030 | 1.607 | 0.3503 | 0.5619 | 0.2179 |
1.3 | 2.323 | 1.715 | 0.4150 | 0.6103 | 0.2420 |
1.5 | 2.631 | 1.823 | 0.4874 | 0.6492 | 0.2673 |
1.7 | 2.956 | 1.921 | 0.5690 | 0.6827 | 0.2962 |
1.9 | 3.293 | 2.029 | 0.6564 | 0.7075 | 0.3235 |
Table II
Dimensions of the first harmonic of dispersion curves as a function of modulation for the case of negligible sweep rates. All dimensions, as shown in Fig. 2, are in terms of the line width, Γ.
Modulation (Hθ) | Z | T | Hθ/Z | T/Z |
---|
0.0 | 2.000 | 0.6234 | 0.0000 | 0.3117 |
0.1 | 2.005 | 0.6268 | 0.0499 | 0.3126 |
0.3 | 2.066 | 0.6617 | 0.1452 | 0.3203 |
0.5 | 2.179 | 0.7478 | 0.2295 | 0.3432 |
0.7 | 2.339 | 0.8540 | 0.2993 | 0.3651 |
0.9 | 2.536 | 0.9921 | 0.3548 | 0.3912 |
1.1 | 2.764 | 1.1559 | 0.3980 | 0.4182 |
1.3 | 3.016 | 1.3397 | 0.4310 | 0.4442 |
1.5 | 3.288 | 1.5401 | 0.4562 | 0.4684 |
1.7 | 3.574 | 1.7677 | 0.4757 | 0.4946 |
1.9 | 3.872 | 2.0100 | 0.4907 | 0.5191 |
Table III
Corrections to widths and positions of the first harmonic of Δm=2 level-crossing signals. All linear dimensions are in terms of the half-width, Γ.
Sweep rate (Γ/τ) | Modulation (Γ) |
|
|
|
| S−S′ |
| (S+S′)/2 |
---|
B=0.2 | B=0.2 |
---|
0.05 | 0.1 | 1.19 | 1.58 | 0.145 | 1.45 | 0.087 | 1.26 | 0.103 |
0.3 | 1.25 | 1.64 | 0.151 | 1.47 | 0.085 | 1.25 | 0.109 |
0.5 | 1.38 | 1.75 | 0.161 | 1.50 | 0.085 | 1.24 | 0.120 |
0.7 | 1.58 | 1.91 | 0.177 | 1.52 | 0.085 | 1.22 | 0.136 |
0.9 | 1.77 | 2.10 | 0.195 | 1.56 | 0.085 | 1.20 | 0.156 |
1.1 | 2.04 | 2.32 | 0.216 | 1.59 | 0.085 | 1.18 | 0.179 |
1.3 | 2.34 | 2.55 | 0.240 | 1.61 | 0.085 | 1.17 | 0.205 |
| | | | | | | | |
0.15 | 0.1 | 1.24 | 1.63 | 0.148 | 1.48 | 0.28 | 1.26 | 0.107 |
0.3 | 1.30 | 1.69 | 0.153 | 1.51 | 0.28 | 1.24 | 0.112 |
0.5 | 1.44 | 1.80 | 0.161 | 1.52 | 0.28 | 1.24 | 0.123 |
0.7 | 1.61 | 1.95 | 0.174 | 1.55 | 0.29 | 1.22 | 0.138 |
0.9 | 1.81 | 2.13 | 0.193 | 1.60 | 0.29 | 1.20 | 0.157 |
1.1 | 2.05 | 2.34 | 0.211 | 1.61 | 0.29 | 1.18 | 0.179 |
1.3 | 2.36 | 2.58 | 0.234 | 1.63 | 0.29 | 1.17 | 0.205 |
| | | | | | | | |
0.35 | 0.1 | 1.37 | 1.81 | 0.149 | 1.61 | 0.58 | 1.25 | 0.119 |
0.3 | 1.43 | 1.85 | 0.153 | 1.62 | 0.58 | 1.24 | 0.124 |
0.5 | 1.55 | 1.95 | 0.160 | 1.63 | 0.60 | 1.24 | 0.133 |
0.7 | 1.69 | 2.09 | 0.172 | 1.66 | 0.62 | 1.22 | 0.146 |
0.9 | 1.89 | 2.25 | 0.184 | 1.70 | 0.63 | 1.21 | 0.163 |
1.1 | 2.12 | 2.45 | 0.203 | 1.72 | 0.65 | 1.19 | 0.183 |
1.3 | 2.38 | 2.67 | 0.222 | 1.76 | 0.66 | 1.18 | 0.207 |
| | | | | | | | |
0.55 | 0.1 | 1.55 | 2.00 | 0.147 | 1.78 | 0.81 | 1.25 | 0.131 |
0.3 | 1.57 | 2.04 | 0.150 | 1.80 | 0.82 | 1.25 | 0.136 |
0.5 | 1.67 | 2.13 | 0.157 | 1.81 | 0.84 | 1.24 | 0.143 |
0.7 | 1.81 | 2.26 | 0.167 | 1.83 | 0.87 | 1.23 | 0.155 |
0.9 | 2.00 | 2.41 | 0.176 | 1.88 | 0.91 | 1.21 | 0.170 |
1.1 | 2.19 | 2.60 | 0.192 | 1.90 | 0.94 | 1.20 | 0.196 |
1.3 | 2.43 | 2.80 | 0.207 | 1.92 | 0.97 | 1.19 | 0.216 |
| | | | | | | | |
0.75 | 0.1 | 1.66 | 2.19 | 0.147 | 1.96 | 1.00 | 1.25 | 0.143 |
0.3 | 1.69 | 2.23 | 0.149 | 1.98 | 1.01 | 1.25 | 0.147 |
0.5 | 1.77 | 2.31 | 0.154 | 1.99 | 1.04 | 1.24 | 0.154 |
0.7 | 1.91 | 2.42 | 0.161 | 2.02 | 1.08 | 1.23 | 0.165 |
0.9 | 2.09 | 2.57 | 0.170 | 2.03 | 1.13 | 1.22 | 0.178 |
1.1 | 2.30 | 2.74 | 0.182 | 2.07 | 1.18 | 1.20 | 0.196 |
1.3 | 2.53 | 2.93 | 0.195 | 2.09 | 1.23 | 1.19 | 0.216 |
| | | | | | | | |
0.95 | 0.1 | 1.77 | 2.36 | 0.146 | 2.13 | 1.16 | 1.25 | 1.77 |
0.3 | 1.81 | 2.42 | 0.148 | 2.16 | 1.18 | 1.25 | 1.81 |
0.5 | 1.90 | 2.49 | 0.151 | 2.18 | 1.21 | 1.24 | 1.90 |
0.7 | 2.01 | 2.60 | 0.157 | 2.20 | 1.26 | 1.24 | 2.01 |
0.9 | 2.18 | 2.73 | 0.164 | 2.23 | 1.32 | 1.22 | 2.18 |
1.1 | 2.39 | 2.90 | 0.175 | 2.26 | 1.38 | 1.21 | 2.39 |
1.3 | 2.62 | 3.07 | 0.186 | 2.28 | 1.45 | 1.20 | 2.62 |
Table IV
Corrections to widths and positions of the first harmonic of Δm=1 level-crossing signals. All linear dimensions are in terms of the half-width, Γ.
Sweep rate (Γ/τ) | Modulation (Γ) |
| C−C′ |
|
|
| (C+C′)/2 |
---|
A=0.1 | A=0.1 |
---|
0.05 | 0.1 | 2.03 | 0.085 | 0.042 | 0.314 | 0.706 | −0.102 |
0.3 | 2.08 | 0.085 | 0.041 | 0.323 | 0.707 | −0.101 |
0.5 | 2.20 | 0.085 | 0.039 | 0.340 | 0.713 | −0.100 |
0.7 | 2.36 | 0.085 | 0.036 | 0.363 | 0.720 | −0.102 |
0.9 | 2.55 | 0.085 | 0.033 | 0.389 | 0.728 | −0.103 |
1.1 | 2.78 | 0.085 | 0.031 | 0.416 | 0.733 | −0.104 |
1.3 | 3.03 | 0.085 | 0.028 | 0.442 | 0.739 | −0.105 |
| | | | | | | |
0.15 | 0.1 | 2.08 | 0.304 | 0.146 | 0.316 | 0.712 | −0.101 |
0.3 | 2.14 | 0.303 | 0.142 | 0.325 | 0.712 | −0.102 |
0.5 | 2.25 | 0.300 | 0.133 | 0.341 | 0.716 | −0.102 |
0.7 | 2.40 | 0.299 | 0.125 | 0.362 | 0.722 | −0.103 |
0.9 | 2.59 | 0.297 | 0.115 | 0.386 | 0.731 | −0.103 |
1.1 | 2.81 | 0.293 | 0.104 | 0.411 | 0.735 | −0.105 |
1.3 | 3.06 | 0.294 | 0.096 | 0.437 | 0.739 | −0.106 |
| | | | | | | |
0.35 | 0.1 | 2.29 | 0.731 | 0.319 | 0.320 | 0.718 | −0.107 |
0.3 | 2.34 | 0.726 | 0.310 | 0.327 | 0.720 | −0.108 |
0.5 | 2.43 | 0.718 | 0.295 | 0.340 | 0.722 | −0.110 |
0.7 | 2.57 | 0.708 | 0.275 | 0.357 | 0.729 | −0.110 |
0.9 | 2.75 | 0.697 | 0.253 | 0.377 | 0.734 | −0.111 |
1.1 | 2.95 | 0.688 | 0.233 | 0.399 | 0.739 | −0.113 |
1.3 | 3.18 | 0.677 | 0.213 | 0.421 | 0.746 | −0.114 |
| | | | | | | |
0.55 | 0.1 | 2.53 | 1.13 | 0.447 | 0.316 | 0.725 | −0.119 |
0.3 | 2.57 | 1.12 | 0.437 | 0.322 | 0.727 | −0.120 |
0.5 | 2.66 | 1.11 | 0.417 | 0.333 | 0.730 | −0.120 |
0.7 | 2.89 | 1.09 | 0.377 | 0.348 | 0.732 | −0.122 |
0.9 | 2.95 | 1.07 | 0.363 | 0.366 | 0.738 | −0.123 |
1.1 | 3.14 | 1.06 | 0.338 | 0.385 | 0.744 | −0.123 |
1.3 | 3.36 | 1.04 | 0.310 | 0.402 | 0.749 | −0.125 |
| | | | | | | |
0.75 | 0.1 | 2.78 | 1.50 | 0.540 | 0.310 | 0.729 | −0.131 |
0.3 | 2.82 | 1.49 | 0.528 | 0.315 | 0.733 | −0.132 |
0.5 | 2.90 | 1.47 | 0.507 | 0.324 | 0.732 | −0.133 |
0.7 | 3.02 | 1.45 | 0.480 | 0.338 | 0.736 | −0.133 |
0.9 | 3.17 | 1.43 | 0.451 | 0.353 | 0.740 | −0.135 |
1.1 | 3.35 | 1.40 | 0.418 | 0.371 | 0.744 | −0.137 |
1.3 | 3.55 | 1.38 | 0.389 | 0.390 | 0.749 | −0.138 |
| | | | | | | |
0.95 | 0.1 | 3.04 | 1.85 | 0.609 | 0.301 | 0.730 | −0.145 |
0.3 | 3.08 | 1.84 | 0.597 | 0.306 | 0.732 | −0.145 |
0.5 | 3.15 | 1.82 | 0.578 | 0.315 | 0.734 | −0.145 |
0.7 | 3.27 | 1.79 | 0.547 | 0.327 | 0.738 | −0.147 |
0.9 | 3.40 | 1.77 | 0.521 | 0.341 | 0.742 | −0.148 |
1.1 | 3.57 | 1.74 | 0.487 | 0.358 | 0.744 | −0.149 |
1.3 | 3.76 | 1.71 | 0.455 | 0.375 | 0.749 | −0.151 |