Table I
N0,N1,g0, and g1 at Various d for a0 = 1.9 cm,a1 = 2.5 cm,R0 = −450 m,R1 = 150 m
a1 = 2.5 cm |
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|
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d in meters | N0 | N1 | g0 | g1 |
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8 | 4.280 | 7.608 | 1.0178 | 0.9467 |
9 | 3.804 | 6.763 | 1.0200 | 0.9400 |
10 | 3.424 | 6.086 | 1.0222 | 0.9333 |
11 | 3.112 | 5.533 | 1.0244 | 0.9267 |
12 | 2.853 | 5.072 | 1.0267 | 0.9200 |
13 | 2.634 | 4.682 | 1.0289 | 0.9133 |
14 | 2.445 | 4.347 | 1.0311 | 0.9067 |
15 | 2.282 | 4.058 | 1.0333 | 0.9000 |
16 | 2.140 | 3.804 | 1.0356 | 0.8933 |
Table II
N0, N1,g0, and g1 at Various d for a0 = 1.9 cm, a1 = 2.2 cm, R0 = −450 m, R1, = 1 50 m
a1 = 2.2 cm |
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|
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d in meters | N0 | N1 | g0 | g1 |
---|
8 | 4.280 | 5.825 | 1.0178 | 0.9467 |
9 | 3.804 | 5.178 | 1.0200 | 0.9400 |
10 | 3.424 | 4.660 | 1.0222 | 0.9333 |
11 | 3.112 | 4.236 | 1.0244 | 0.9267 |
12 | 2.853 | 3.883 | 1.0267 | 0.9200 |
13 | 2.634 | 3.585 | 1.0289 | 0.9133 |
14 | 2.445 | 3.329 | 1.0311 | 0.9067 |
15 | 2.282 | 3.107 | 1.0333 | 0.9000 |
16 | 2.140 | 2.912 | 1.0356 | 0.8933 |
Table III
Diffraction Losses per Transit for the First Three Lowest Loss Modes with l = 0 and l = 1 at Various d. a1 Is Fixed at 2.5 cm
a1 = 2.5 cm Diffraction losses per transit in % |
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|
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d in meters | 1st mode | l = 0 2nd mode | 3rd mode | 1st mode | l = 1 2nd mode | 3rd mode |
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8 | 0.8 | 1.5 | 6.0 | 0.9 | 2.9 | 10.2 |
9 | 0.9 | 1.9 | 7.2 | 1.3 | 4.0 | 13.3 |
10 | 1.1 | 2.4 | 10.1 | 1.6 | 4.6 | 16.1 |
11 | 1.4 | 3.0 | .11.5 | 1.8 | 6.4 | 18.7 |
12 | 1.5 | 4.0 | 13.6 | 2.2 | 7.0 | 22.3 |
13 | 1.5 | 4.6 | 16.0 | 2.9 | 8.2 | 26.9 |
14 | 1.8 | 5.0 | 19.0 | 3.4 | 9.7 | 31.3 |
15 | 2.3 | 5.6 | 22.6 | 3.5 | 11.8 | 33.1 |
16 | 2.9 | 6.7 | 24.2 | 3.4 | 14.2 | 35.3 |
Table IV
Diffraction Losses per Transit for the First Three Lowest Loss Modes with l = 0 and l = 1 at Various d; a1 Is Fixed at 2.2 cm
a1 = 2.2 cm Diffraction losses per transit in% |
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|
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d in meters | 1st mode | l = 0 2nd mode | 3rd mode | 1st mode | l = 1 2nd mode | 3rd mode |
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8 | 4.5 | 7.3 | 18.7 | 7.4 | 11.6 | 24.8 |
9 | 5.7 | 8.6 | 21.1 | 7.5 | 14.9 | 28.4 |
10 | 6.4 | 10.8 | 23.2 | 7.9 | 16.9 | 34.0 |
11 | 6.3 | 12.7 | 27.9 | 9.4 | 17.8 | 40.3 |
12 | 6.1 | 12.8 | 33.5 | 11.5 | 21.0 | 41.6 |
13 | 7.4 | 14.1 | 35.4 | 11.5 | 25.5 | 43.9 |
14 | 8.6 | 17.1 | 36.0 | 11.1 | 28.1 | 49.3 |
15 | 8.8 | 20.4 | 39.3 | 11.7 | 28.2 | 55.8 |
16 | 8.3 | 21.5 | 44.4 | 11.4 | 29.3 | 60.1 |
Table V
Comparison of the Eigenvalues Obtained from Two Different Approaches for Three Different Cavity Configurations
| Asymmetric cavity Double iteration Fox-Li method | Symmetric cavity |
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|γ1| | |γ2| | |γ1γ2| | γ |
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d = 12m | 1.681 | 0.587 | 0.987 | 0.993 |
a1 = 2.5 cm | | | | |
d = 8 m | 0.665 | 1.475 | 0.982 | 0.977 |
a1 = 2.2 cm | | | | |
d = 12 m | 2.389 | 0.407 | 0.972 | 0.969 |
a1 = 2.2 cm | | | | |