Table I
Comparison Between Theoretical and Experimental Values of n(2)(T) and its Mean Standard Deviation σ for a Lorentzian Profile
| | | | Theory | Experiment |
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| | | |
|
|
---|
Δt/P | h | t1/P | T/P | n(2)(T) | σ | n(2)(T) | σ |
---|
0.2 | 0.75 | 0.4 | 4.98 × 10−3 | 1.2008 | 0.0832 | 1.1969 | 0.0795 |
0.2 | 0.5 | 0.4 | 4.99 × 10−3 | 1.3985 | 0.1051 | 1.3853 | 0.1124 |
0.2 | 0.25 | 0.4 | 5.01 × 10−3 | 1.6155 | 0.1145 | 1.5920 | 0.1073 |
0.3 | 0.5 | 0.4 | 5.14 × 10−3 | 2.1614 | 0.1499 | 2.1214 | 0.1268 |
0.2 | 0.5 | 0.2 | 5.02 × 10−3 | 1.6300 | 0.1308 | 1.6036 | 0.1577 |
0.2 | 0.5 | 0.3 | 5.04 × 10−3 | 1.4671 | 0.1154 | 1.4538 | 0.1244 |
0.2 | 0.5 | 0.5 | 4.98 × 10−3 | 1.3837 | 0.0991 | 1.3720 | 0.0691 |
Table II
Comparison Between Theoretical and Experimental Values of n(2)(T) and its Mean Standard Deviation σ for a Gaussian Profile
| | | | Theory | Experiment |
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| | | |
|
|
---|
Δt/P | h | t1/P | T/P | n(2)(T) | σ | n(2)(T) | σ |
---|
0.2 | 0.75 | 0.4 | 5.09 × 10−3 | 1.7013 | 0.1324 | 1.6586 | 0.1006 |
0.2 | 0.5 | 0.4 | 5.16 × 10−3 | 1.8514 | 0.1412 | 1.7960 | 0.1251 |
0.2 | 0.25 | 0.4 | 5.18 × 10−3 | 2.2634 | 0.1463 | 2.1719 | 0.1254 |
0.3 | 0.5 | 0.4 | 4.98 × 10−3 | 1.3339 | 0.1040 | 1.3304 | 0.1141 |
0.2 | 0.5 | 0.2 | 5.42 × 10−3 | 2.2147 | 0.1670 | 2.0176 | 0.1278 |
0.2 | 0.5 | 0.3 | 5.25 × 10−3 | 1.9107 | 0.1512 | 1.7981 | 0.1374 |
0.2 | 0.5 | 0.5 | 5.12 × 10−3 | 1.8515 | 0.1347 | 1.8079 | 0.0933 |
Table III
Values of eΔ, eh, and et1, for Δt/P = 0.1, h = 0.5, and Different Values of t1
| Lorentzian profile | Gaussian profile |
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|
|
|
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t1/P | eΔ(%) | eh(%) | et1(%) | eΔ(%) | eh(%) | et1(%) |
---|
0.001 | 0.205 | 12000 | 2000 | 0.170 | 8280 | 1380 |
0.003 | 0.205 | 1330 | 223 | 0.170 | 920 | 154 |
0.010 | 0.207 | 120 | 20.3 | 0.172 | 82.9 | 13.9 |
0.030 | 0.219 | 13.8 | 2.50 | 0.189 | 9.25 | 1.64 |
0.100 | 0.284 | 1.73 | 0.580 | 0.308 | 0.996 | 0.359 |
0.300 | 0.239 | 0.775 | 1.50 | 0.171 | 0.643 | 2230 |
0.500 | 0.226 | 0.699 | 9.29 | 0.171 | 0.642 | 0.947 × 106 |
0.700 | 0.238 | 0.676 | 0.632 | 0.172 | 0.643 | 20.5 |
0.900 | 0.257 | 0.668 | 0.091 | 0.265 | 0.639 | 0.066 |
Table IV
Values of eΔ, eh, and et1 for Δt/P = 0.1, t1/P = 0.3, and Different Values of h
| Lorentzian profile | Gaussian profile |
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|
|
|
---|
h | eΔ(%) | eh(%) | et1(%) | eΔ(%) | eh(%) | et1(%) |
---|
0.01 | 0.209 | 10.1 | 58.8 | 0.171 | 8.70 | 88700 |
0.03 | 0.212 | 3.53 | 19.7 | 0.171 | 3.03 | 29600 |
0.10 | 0.220 | 1.26 | 6.06 | 0.173 | 1.06 | 9150 |
0.30 | 0.238 | 0.716 | 2.24 | 0.175 | 0.590 | 3310 |
0.50 | 0.239 | 0.775 | 1.50 | 0.171 | 0.643 | 2230 |
0.70 | 0.231 | 1.18 | 1.23 | 0.165 | 0.997 | 1830 |
0.90 | 0.225 | 3.64 | 1.14 | 0.162 | 3.09 | 1690 |
Table V
Values of eΔ, eh, and et1 for h = 0.5, t1/P = 0.3, and Different Values of Δt
| Lorentzian profile | Gaussian profile |
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|
|
|
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Δt/P | eΔ(%) | eh(%) | et1(%) | eΔ(%) | eh(%) | et1(%) |
---|
0.001 | 0.215 | 0.806 | — | 0.185 | 0.695 | — |
0.003 | 0.215 | 0.804 | — | 0.185 | 0.693 | — |
0.010 | 0.215 | 0.796 | — | 0.184 | 0.690 | — |
0.030 | 0.216 | 0.778 | 20.5 | 0.181 | 0.680 | 25.6 |
0.100 | 0.239 | 0.775 | 1.50 | 0.171 | 0.643 | 2.23 |
0.300 | 0.373 | 1.15 | 0.458 | 0.265 | 0.778 | 0.289 |