J. D. Eversole, H.-B. Lin, A. L. Huston, A. J. Campillo, P. T. Leung, S. Y. Liu, and K. Young, "High-precision identification of morphology-dependent resonances in optical processes in microdroplets," J. Opt. Soc. Am. B 10, 1955-1968 (1993)
The spectroscopy of the morphology-dependent resonances of a microdroplet has been studied at high precision. The line positions are shown to reveal optical dispersion and permit the refractive index to be determined with sufficient accuracy to provide an estimate of the droplet cooling that is due to evaporation. Comparison of the remaining discrepancies in mode positions for different radial modes indicates a small temperature gradient near the surface. Both the cooling and the temperature gradient are compatible with thermodynamic estimates. The mode quantum numbers are identified with high confidence, and the systematics of the line intensities permit an estimate of the extra radiative loss 1/QL over and above that predicted by Lorenz–Mie theory for a perfect homogeneous microsphere, for example, that which is due to internal scattering, with QL ≈ 2 × 108 for first-order modes.
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Experimental Peak Positions, Heights, and Widths for Spectrum A and the Results of Mode Identification for the Polarization μ Mode Number l and Radial Order ia
No.
Experimental
Theoretical
Position
Height
Width
Position
μ
l
i
1
14 700.8
1.5
3.5
14 697.0
2
76
2
2
14 765.6
0.5
2.8
14 762.1
1
72
3
3
14 782.3
0.6
2.8
–
–
–
–
4
14 865.5
0.5
1.8
14 863.9
2
83
1
5
14 870.8
1.4
3.5
14 868.8
2
77
2
6
14 931.0
0.6
3.5
14 928.3
1
84
1
7
14 941.6
0.4
5.3
14 937.7
1
73
3
8
14 952.2
0.8
3.5
14 949.2
1
78
2
9
15 007.1
0.2
7.1
15 008.7
2
73
3
10
15 030.9
0.6
4.2
15 031.0
2
84
1
11
15 040.8
1.0
5.3
15 040.5
2
78
2
12
15 095.7
0.5
4.2
15 095.3
1
85
1
13
15 113.4
0.4
3.5
15 113.0
1
74
3
14
15 122.2
1.0
3.5
15 120.4
1
79
2
15
15 186.0
0.4
3.5
15 185.0
2
74
3
16
15 196.6
1.5
7.1
15 198.1
2
85
1
17
15 214.3
2.0
4.2
15 212.1
2
79
2
18
15 263.9
1.0
3.5
15 262.2
1
86
1
19
15 292.2
2.0
7.1
15 288.2
1
75
3
15 291.5
1
80
2
20
15 363.0
1.8
5.3
15 361.1
2
75
3
15 365.1
2
86
1
21
15 384.3
2.7
3.5
15 383.5
2
80
2
22
15 430.3
1.2
5.3
15 429.0
1
87
1
23
15 464.0
2.8
5.3
15 462.5
1
81
2
23
15 464.0
2.8
5.3
15 463.2
1
76
3
24
15 531.3
2.4
7.1
15 532.0
2
87
1
25
15 540.1
0.5
3.5
15 536.9
2
76
3
26
15 555.2
3.5
3.5
15 554.8
2
81
2
27
15 596.8
1.5
5.3
15 595.8
1
88
1
28
15 634.0
3.0
8.9
15 633.4
1
82
2
29
15 696.8
2.0
5.3
15 698.8
2
88
1
30
15 710.1
1.7
7.1
15 712.6
2
77
3
31
15 726.0
3.7
5.3
15 725.9
2
82
2
32
15 762.3
1.7
5.3
15 762.4
1
89
1
33
15 805.7
3.5
5.3
15 804.2
1
83
2
34
15 813.7
2.0
3.5
15 812.7
1
78
3
35
15 864.2
2.7
7.1
15 865.5
2
89
1
36
15 885.4
2.2
7.1
15 888.0
2
78
3
37
15 896.0
2.2
4.2
15 896.9
2
83
2
38
15 927.9
3.0
5.3
15 929.0
1
90
1
39
15 975.7
5.5
3.5
15 974.8
1
84
2
40
15 986.3
3.0
5.3
15 987.2
1
79
3
41
16 030.6
5.0
4.2
16 032.2
2
90
1
42
16 067.8
9.0
7.1
16 067.8
2
84
2
43
16 096.1
5.0
5.3
16 095.5
1
91
1
44
16 145.7
7.0
5.3
16 145.3
1
85
2
45
16 161.7
4.2
7.1
16 161.5
1
80
3
46
16 197.1
9.0
4.2
16 198.7
2
91
1
47
16 236.9
14.0
4.2
16 238.3
2
80
3
16 238.6
2
85
2
48
16 260.8
8.0
4.2
16 261.9
1
92
1
49
16 314.8
9.2
4.2
16 315.7
1
86
2
50
16 335.2
6.0
6.4
16 335.6
1
81
3
51
16 363.5
17.0
3.5
16 365.2
2
92
1
52
16 406.9
20.0
5.3
16 409.2
2
86
2
53
16 425.5
11.0
4.2
16 428.3
1
93
1
54
16 483.9
12.0
5.3
16 486.0
1
87
2
55
16 508.7
8.5
5.3
16 509.5
1
82
3
56
16 530.0
53.0
1.8
16 531.6
2
93
1
57
16 577.8
21.0
2.8
16 579.7
2
87
2
58
16 586.6
10.0
1.8
16 587.7
2
82
3
59
16 593.7
15.0
5.3
16 594.6
1
94
1
60
16 655.7
14.5
4.2
16 656.2
1
88
2
61
16 684.0
11.0
5.3
16 683.3
1
83
3
62
16 696.4
Off scale
4.2
16 698.0
2
94
1
63
16 747.8
22.0
1.8
16 750.1
2
88
2
64
16 759.3
29.5
4.2
16 760.8
1
95
1
65
16 825.7
17.0
4.2
16 826.2
1
89
2
66
16 857.5
14.0
1.8
16 857.0
1
84
3
67
16 862.9
Off scale
3.5
16 864.2
2
95
1
68
16 919.5
30.0
1.8
16 920.4
2
89
2
69
16 926.6
34.0
3.5
16 926.9
1
96
1
70
16 935.5
21.0
3.5
16 936.4
2
84
3
71
16 995.7
21.0
5.3
16 996.2
1
90
2
72
17 029.3
Off scale
2.8
17 030.4
2
96
1
17 030.5
1
85
3
73
17 091.3
Off scale
3.5
17 090.6
2
90
2
17 093.0
1
97
1
74
17 109.0
23.0
4.2
17 110.5
2
85
3
75
17 165.7
25.0
6.4
17 166.0
1
91
2
76
17 195.8
56.0
2.8
17 196.5
2
97
1
77
17 204.6
21.0
6.4
17 203.8
1
86
3
78
17 259.5
Off scale
3.5
17 258.9
1
98
1
17 260.6
2
91
2
79
17 284.3
29.0
3.5
17 284.4
2
86
3
80
17 300.2
2.0
12.4
17 298.2
1
82
4
81
17 335.6
30.0
5.3
17 335.8
1
92
2
82
17 360.4
27.0
3.5
17 362.6
2
98
1
83
17 377.3
24.0
7.1
17 377.0
1
87
3
84
17 413.2
19.0
1.8
–
–
–
–
85
17 431.2
50.0
3.5
17 430.5
2
92
2
86
17 457.8
30.0
5.3
17 458.1
2
87
3
87
17 477.3
3.0
15.9
17 474.7
1
83
4
88
17 505.6
32.0
4.2
17 505.4
1
93
2
89
17 528.7
18.0
3.5
17 528.5
2
99
1
17 531.8
2
83
4
90
17 551.7
33.0
6.4
17 550.0
1
88
3
91
17 588.8
6.0
3.5
17 590.7
1
100
1
92
17 599.5
48.0
2.8
17 600.4
2
93
2
93
17 631.3
50.0
3.5
17 631.6
2
88
3
94
17 652.5
5.0
15.9
17 651.0
1
84
4
95
17 675.6
22.0
5.3
17 674.9
1
94
2
96
17 693.3
4.0
5.3
17 694.4
2
100
1
97
17 709.3
2.0
8.9
17 709.3
2
84
4
98
17 725.2
36.0
5.3
17 722.9
1
89
3
99
17 757.1
2.0
7.1
17 756.5
1
101
1
100
17 771.2
30.0
2.1
17 770.1
2
94
2
101
17 804.9
53.0
3.5
17 805.0
2
89
3
102
17 829.7
4.0
8.9
17 827.1
1
85
4
103
17 845.6
8.0
5.3
17 844.4
1
95
2
104
17 859.8
2.0
5.3
17 860.3
2
101
1
105
17 882.8
3.0
3.5
17 886.6
2
85
4
106
17 897.0
37.0
4.2
17 895.6
1
90
3
107
17 939.5
11.0
3.5
17 939.7
2
95
2
108
17 978.4
47.0
3.5
17 978.2
2
90
3
109
18 006.7
6.0
10.6
18 003.1
1
86
4
110
18 015.6
3.0
3.5
18 013.7
1
96
2
111
18 070.5
29.0
6.4
18 068.2
1
91
3
112
18 109.4
2.0
2.1
18 109.2
2
96
2
113
18 151.9
26.0
3.5
18 151.3
2
91
3
114
18 183.8
4.0
10.6
18 182.9
1
97
2
115
18 242.3
11.0
6.4
18 240.6
1
92
3
18 240.7
2
87
4
116
18 325.5
4.5
5.3
18 324.2
2
92
3
117
18 355.6
1.0
10.6
18 352.1
1
98
2
18 354.7
1
88
4
118
18 414.0
1.0
3.5
18 413.0
1
93
3
18 417.5
2
88
4
TE, μ = 1; TM, μ = 2. The position and the width are in inverse centimeters; the height is in arbitrary units.
Table 2
Experimental Peak Positions for Spectrum B and the Results of Mode Indentification for the Polarization μ Mode Number l and Radial Order ia
Experimental
Theoretical
No.
Position
Position
μ
l
i
1
16 141.7
16 141.9
2
86
3
2
16 191.6
16 191.0
1
92
2
3
16 214.1
16 215.9
2
98
1
4
16 230.0
16 229.1
1
87
3
5
16 274.0
16 274.4
1
99
1
6
16 279.3
16 279.0
2
92
2
7
16 304.3
16 304.2
2
87
3
8
16 350.1
16 349.4
1
93
2
9
16 369.9
16 370.9
2
99
1
16 372.2
2
83
4
10
16 392.6
16 390.7
1
88
3
11
16 428.9
16 429.2
1
100
1
12
16 437.8
16 437.6
2
93
2
13
16 466.5
16 466.3
2
88
3
14
16 508.3
16 507.7
1
94
2
15
16 524.7
16 525.8
2
100
1
16
16 553.5
16 552.2
1
89
3
17
16 583.3
16 584.0
1
101
1
18
16 596.3
16 596.1
2
94
2
19
16 628.4
16 628.2
2
89
3
20
16 650.8
16 649.0
1
85
4
21
16 666.4
16 665.9
1
95
2
22
16 678.8
16 680.6
2
101
1
23
16 714.7
16 713.5
1
90
3
24
16 737.5
16 738.7
1
102
1
25
16 754.3
16 754.5
2
95
2
26
16 790.2
16 789.9
2
90
3
27
16 824.8
16 824.1
1
96
2
28
16 834.2
16 835.4
2
102
1
29
16 875.8
16 874.7
1
91
3
30
16 892.4
16 893.4
1
103
1
31
16 912.6
16 912.8
2
96
2
32
16 952.0
16 951.6
2
91
3
33
16 982.5
16 982.1
1
97
2
34
16 988.7
16 990.1
2
103
1
35
17 036.8
17 034.1
2
87
4
17 035.7
1
92
3
36
17 046.9
17 048.0
1
104
1
37
17 070.8
17 070.9
2
97
2
38
17 113.4
17 113.0
2
92
3
17 140.0
1
98
2
39
17 141.0
17 141.7
1
88
4
17 144.7
2
104
1
17 140.0
1
98
2
40.
17 143.1
17 141.7
1
88
4
17 144.7
2
104
1
41
17 198.0
17 196.6
1
93
3
17 199.2
2
88
4
42
17 201.5
17 199.2
2
88
4
17 202.5
1
105
1
43
17 228.6
17 229.0
2
98
2
44
17 274.5
17 274.4
2
93
3
45
17 298.2
17 297.8
1
99
2
17 299.3
2
105
1
46
17 357.9
17 357.0
1
106
1
17 357.4
1
94
3
47
17 386.8
17 387.0
2
99
2
48
17 435.5
17 435.6
2
94
3
49
17 455.3
17 453.8
2
106
1
17 455.6
1
100
2
50
17 470.2
17 469.3
1
90
4
51
17 510.8
17 511.4
1
107
1
52
17 518.6
17 518.1
1
95
3
53
17 529.4
17 528.8
2
90
4
54
17 544.8
17 544.9
2
100
2
55
17 596.8
17 596.6
2
95
3
56
17 607.1
17 608.2
2
107
1
57
17 613.7
17 613.2
1
101
2
58
17 633.9
17 632.9
1
91
4
59
17 664.9
17 665.7
1
108
1
60
17 679.7
17 678.6
1
96
3
61
17 692.6
17 693.3
2
91
4
62
17 702.0
17 702.7
2
101
2
63
17 757.5
17 757.5
2
96
3
64
17 771.0
17 770.8
1
102
2
65
17 797.3
17 796.4
1
92
4
66
17 818.4
17 820.0
1
109
1
67
17 839.6
17 839.1
1
97
3
68
17 859.4
17 857.7
2
92
4
17 860.4
2
102
2
69
17 918.5
17 916.9
2
109
1
17 918.3
2
97
3
70
17 960.6
17 959.7
1
93
4
71
18 000.1
17 999.4
1
98
3
72
18 019.6
18 018.0
2
103
2
18 021.9
2
93
4
73
18 079.1
18 079.0
2
98
3
74
18 124.1
18 122.8
1
94
4
75
18 160.3
18 159.6
1
99
3
76
18 185.1
18 185.8
2
94
4
77
18 239.7
18 239.5
2
99
3
18 243.0
1
105
2
78
18 286.7
18 285.8
1
95
4
79
18 320.3
18 319.7
1
100
3
80
18 349.6
18 349.6
2
95
4
81
18 399.8
18 399.9
2
100
3
18 400.2
1
106
2
82
18 449.4
18 448.7
1
96
4
83
18 480.0
18 479.7
1
101
3
84
18 512.9
18 513.3
2
96
4
85
18 559.7
18 557.3
1
107
2
18 560.2
2
101
3
86
18 611.9
18 611.4
1
97
4
87
18 640.1
18 639.5
1
102
3
88
18 676.3
18 676.7
2
97
4
89
18 719.9
18 720.3
2
102
3
90
18 774.3
18 774.0
1
98
4
91
18 799.7
18 799.3
1
103
3
92
18 839.0
18 840.0
2
98
4
18 841.4
2
115
1
93
18 879.0
18 880.4
2
103
3
94
18 936.0
18 936.4
1
99
4
TE, μ = 1; TM, μ = 2. The position is in inverse centimeters.
Table 3
Results of Fit without Dispersion or Offset
Data Set
n
a (μm)
C
S
l*
A
1.348
7.301
0.792
110 (93%)
97
B
1.347
7.897
0.722
72 (77%)
–
Table 4
Results of Fit without Dispersion but with Offset
Data Set
n
a (μm)
Δx
C
S
l*
A
1.364
7.226
0.85
0.909
117 (99%)
96
B
1.364
7.763
1.12
0.954
94 (100%)
–
Table 5
Results of Fit with Dispersion
Data Set
n0
n1(10−6 cm)
a (μm)
C
S
l*
A
1.366
0.964
7.133
0.883
116 (98%)
96
B
1.365
1.06
7.652
0.962
94 (100%)
–
Table 6
Fitted Values of γL for Different Mode Orders and Polarizations
Polarization
Mode Order i
1
2
3
TE
4 × 10−7
5 × 10−6
<10−4
TM
4 × 10−7
4 × 10−6
<10−4
Tables (6)
Table 1
Experimental Peak Positions, Heights, and Widths for Spectrum A and the Results of Mode Identification for the Polarization μ Mode Number l and Radial Order ia
No.
Experimental
Theoretical
Position
Height
Width
Position
μ
l
i
1
14 700.8
1.5
3.5
14 697.0
2
76
2
2
14 765.6
0.5
2.8
14 762.1
1
72
3
3
14 782.3
0.6
2.8
–
–
–
–
4
14 865.5
0.5
1.8
14 863.9
2
83
1
5
14 870.8
1.4
3.5
14 868.8
2
77
2
6
14 931.0
0.6
3.5
14 928.3
1
84
1
7
14 941.6
0.4
5.3
14 937.7
1
73
3
8
14 952.2
0.8
3.5
14 949.2
1
78
2
9
15 007.1
0.2
7.1
15 008.7
2
73
3
10
15 030.9
0.6
4.2
15 031.0
2
84
1
11
15 040.8
1.0
5.3
15 040.5
2
78
2
12
15 095.7
0.5
4.2
15 095.3
1
85
1
13
15 113.4
0.4
3.5
15 113.0
1
74
3
14
15 122.2
1.0
3.5
15 120.4
1
79
2
15
15 186.0
0.4
3.5
15 185.0
2
74
3
16
15 196.6
1.5
7.1
15 198.1
2
85
1
17
15 214.3
2.0
4.2
15 212.1
2
79
2
18
15 263.9
1.0
3.5
15 262.2
1
86
1
19
15 292.2
2.0
7.1
15 288.2
1
75
3
15 291.5
1
80
2
20
15 363.0
1.8
5.3
15 361.1
2
75
3
15 365.1
2
86
1
21
15 384.3
2.7
3.5
15 383.5
2
80
2
22
15 430.3
1.2
5.3
15 429.0
1
87
1
23
15 464.0
2.8
5.3
15 462.5
1
81
2
23
15 464.0
2.8
5.3
15 463.2
1
76
3
24
15 531.3
2.4
7.1
15 532.0
2
87
1
25
15 540.1
0.5
3.5
15 536.9
2
76
3
26
15 555.2
3.5
3.5
15 554.8
2
81
2
27
15 596.8
1.5
5.3
15 595.8
1
88
1
28
15 634.0
3.0
8.9
15 633.4
1
82
2
29
15 696.8
2.0
5.3
15 698.8
2
88
1
30
15 710.1
1.7
7.1
15 712.6
2
77
3
31
15 726.0
3.7
5.3
15 725.9
2
82
2
32
15 762.3
1.7
5.3
15 762.4
1
89
1
33
15 805.7
3.5
5.3
15 804.2
1
83
2
34
15 813.7
2.0
3.5
15 812.7
1
78
3
35
15 864.2
2.7
7.1
15 865.5
2
89
1
36
15 885.4
2.2
7.1
15 888.0
2
78
3
37
15 896.0
2.2
4.2
15 896.9
2
83
2
38
15 927.9
3.0
5.3
15 929.0
1
90
1
39
15 975.7
5.5
3.5
15 974.8
1
84
2
40
15 986.3
3.0
5.3
15 987.2
1
79
3
41
16 030.6
5.0
4.2
16 032.2
2
90
1
42
16 067.8
9.0
7.1
16 067.8
2
84
2
43
16 096.1
5.0
5.3
16 095.5
1
91
1
44
16 145.7
7.0
5.3
16 145.3
1
85
2
45
16 161.7
4.2
7.1
16 161.5
1
80
3
46
16 197.1
9.0
4.2
16 198.7
2
91
1
47
16 236.9
14.0
4.2
16 238.3
2
80
3
16 238.6
2
85
2
48
16 260.8
8.0
4.2
16 261.9
1
92
1
49
16 314.8
9.2
4.2
16 315.7
1
86
2
50
16 335.2
6.0
6.4
16 335.6
1
81
3
51
16 363.5
17.0
3.5
16 365.2
2
92
1
52
16 406.9
20.0
5.3
16 409.2
2
86
2
53
16 425.5
11.0
4.2
16 428.3
1
93
1
54
16 483.9
12.0
5.3
16 486.0
1
87
2
55
16 508.7
8.5
5.3
16 509.5
1
82
3
56
16 530.0
53.0
1.8
16 531.6
2
93
1
57
16 577.8
21.0
2.8
16 579.7
2
87
2
58
16 586.6
10.0
1.8
16 587.7
2
82
3
59
16 593.7
15.0
5.3
16 594.6
1
94
1
60
16 655.7
14.5
4.2
16 656.2
1
88
2
61
16 684.0
11.0
5.3
16 683.3
1
83
3
62
16 696.4
Off scale
4.2
16 698.0
2
94
1
63
16 747.8
22.0
1.8
16 750.1
2
88
2
64
16 759.3
29.5
4.2
16 760.8
1
95
1
65
16 825.7
17.0
4.2
16 826.2
1
89
2
66
16 857.5
14.0
1.8
16 857.0
1
84
3
67
16 862.9
Off scale
3.5
16 864.2
2
95
1
68
16 919.5
30.0
1.8
16 920.4
2
89
2
69
16 926.6
34.0
3.5
16 926.9
1
96
1
70
16 935.5
21.0
3.5
16 936.4
2
84
3
71
16 995.7
21.0
5.3
16 996.2
1
90
2
72
17 029.3
Off scale
2.8
17 030.4
2
96
1
17 030.5
1
85
3
73
17 091.3
Off scale
3.5
17 090.6
2
90
2
17 093.0
1
97
1
74
17 109.0
23.0
4.2
17 110.5
2
85
3
75
17 165.7
25.0
6.4
17 166.0
1
91
2
76
17 195.8
56.0
2.8
17 196.5
2
97
1
77
17 204.6
21.0
6.4
17 203.8
1
86
3
78
17 259.5
Off scale
3.5
17 258.9
1
98
1
17 260.6
2
91
2
79
17 284.3
29.0
3.5
17 284.4
2
86
3
80
17 300.2
2.0
12.4
17 298.2
1
82
4
81
17 335.6
30.0
5.3
17 335.8
1
92
2
82
17 360.4
27.0
3.5
17 362.6
2
98
1
83
17 377.3
24.0
7.1
17 377.0
1
87
3
84
17 413.2
19.0
1.8
–
–
–
–
85
17 431.2
50.0
3.5
17 430.5
2
92
2
86
17 457.8
30.0
5.3
17 458.1
2
87
3
87
17 477.3
3.0
15.9
17 474.7
1
83
4
88
17 505.6
32.0
4.2
17 505.4
1
93
2
89
17 528.7
18.0
3.5
17 528.5
2
99
1
17 531.8
2
83
4
90
17 551.7
33.0
6.4
17 550.0
1
88
3
91
17 588.8
6.0
3.5
17 590.7
1
100
1
92
17 599.5
48.0
2.8
17 600.4
2
93
2
93
17 631.3
50.0
3.5
17 631.6
2
88
3
94
17 652.5
5.0
15.9
17 651.0
1
84
4
95
17 675.6
22.0
5.3
17 674.9
1
94
2
96
17 693.3
4.0
5.3
17 694.4
2
100
1
97
17 709.3
2.0
8.9
17 709.3
2
84
4
98
17 725.2
36.0
5.3
17 722.9
1
89
3
99
17 757.1
2.0
7.1
17 756.5
1
101
1
100
17 771.2
30.0
2.1
17 770.1
2
94
2
101
17 804.9
53.0
3.5
17 805.0
2
89
3
102
17 829.7
4.0
8.9
17 827.1
1
85
4
103
17 845.6
8.0
5.3
17 844.4
1
95
2
104
17 859.8
2.0
5.3
17 860.3
2
101
1
105
17 882.8
3.0
3.5
17 886.6
2
85
4
106
17 897.0
37.0
4.2
17 895.6
1
90
3
107
17 939.5
11.0
3.5
17 939.7
2
95
2
108
17 978.4
47.0
3.5
17 978.2
2
90
3
109
18 006.7
6.0
10.6
18 003.1
1
86
4
110
18 015.6
3.0
3.5
18 013.7
1
96
2
111
18 070.5
29.0
6.4
18 068.2
1
91
3
112
18 109.4
2.0
2.1
18 109.2
2
96
2
113
18 151.9
26.0
3.5
18 151.3
2
91
3
114
18 183.8
4.0
10.6
18 182.9
1
97
2
115
18 242.3
11.0
6.4
18 240.6
1
92
3
18 240.7
2
87
4
116
18 325.5
4.5
5.3
18 324.2
2
92
3
117
18 355.6
1.0
10.6
18 352.1
1
98
2
18 354.7
1
88
4
118
18 414.0
1.0
3.5
18 413.0
1
93
3
18 417.5
2
88
4
TE, μ = 1; TM, μ = 2. The position and the width are in inverse centimeters; the height is in arbitrary units.
Table 2
Experimental Peak Positions for Spectrum B and the Results of Mode Indentification for the Polarization μ Mode Number l and Radial Order ia
Experimental
Theoretical
No.
Position
Position
μ
l
i
1
16 141.7
16 141.9
2
86
3
2
16 191.6
16 191.0
1
92
2
3
16 214.1
16 215.9
2
98
1
4
16 230.0
16 229.1
1
87
3
5
16 274.0
16 274.4
1
99
1
6
16 279.3
16 279.0
2
92
2
7
16 304.3
16 304.2
2
87
3
8
16 350.1
16 349.4
1
93
2
9
16 369.9
16 370.9
2
99
1
16 372.2
2
83
4
10
16 392.6
16 390.7
1
88
3
11
16 428.9
16 429.2
1
100
1
12
16 437.8
16 437.6
2
93
2
13
16 466.5
16 466.3
2
88
3
14
16 508.3
16 507.7
1
94
2
15
16 524.7
16 525.8
2
100
1
16
16 553.5
16 552.2
1
89
3
17
16 583.3
16 584.0
1
101
1
18
16 596.3
16 596.1
2
94
2
19
16 628.4
16 628.2
2
89
3
20
16 650.8
16 649.0
1
85
4
21
16 666.4
16 665.9
1
95
2
22
16 678.8
16 680.6
2
101
1
23
16 714.7
16 713.5
1
90
3
24
16 737.5
16 738.7
1
102
1
25
16 754.3
16 754.5
2
95
2
26
16 790.2
16 789.9
2
90
3
27
16 824.8
16 824.1
1
96
2
28
16 834.2
16 835.4
2
102
1
29
16 875.8
16 874.7
1
91
3
30
16 892.4
16 893.4
1
103
1
31
16 912.6
16 912.8
2
96
2
32
16 952.0
16 951.6
2
91
3
33
16 982.5
16 982.1
1
97
2
34
16 988.7
16 990.1
2
103
1
35
17 036.8
17 034.1
2
87
4
17 035.7
1
92
3
36
17 046.9
17 048.0
1
104
1
37
17 070.8
17 070.9
2
97
2
38
17 113.4
17 113.0
2
92
3
17 140.0
1
98
2
39
17 141.0
17 141.7
1
88
4
17 144.7
2
104
1
17 140.0
1
98
2
40.
17 143.1
17 141.7
1
88
4
17 144.7
2
104
1
41
17 198.0
17 196.6
1
93
3
17 199.2
2
88
4
42
17 201.5
17 199.2
2
88
4
17 202.5
1
105
1
43
17 228.6
17 229.0
2
98
2
44
17 274.5
17 274.4
2
93
3
45
17 298.2
17 297.8
1
99
2
17 299.3
2
105
1
46
17 357.9
17 357.0
1
106
1
17 357.4
1
94
3
47
17 386.8
17 387.0
2
99
2
48
17 435.5
17 435.6
2
94
3
49
17 455.3
17 453.8
2
106
1
17 455.6
1
100
2
50
17 470.2
17 469.3
1
90
4
51
17 510.8
17 511.4
1
107
1
52
17 518.6
17 518.1
1
95
3
53
17 529.4
17 528.8
2
90
4
54
17 544.8
17 544.9
2
100
2
55
17 596.8
17 596.6
2
95
3
56
17 607.1
17 608.2
2
107
1
57
17 613.7
17 613.2
1
101
2
58
17 633.9
17 632.9
1
91
4
59
17 664.9
17 665.7
1
108
1
60
17 679.7
17 678.6
1
96
3
61
17 692.6
17 693.3
2
91
4
62
17 702.0
17 702.7
2
101
2
63
17 757.5
17 757.5
2
96
3
64
17 771.0
17 770.8
1
102
2
65
17 797.3
17 796.4
1
92
4
66
17 818.4
17 820.0
1
109
1
67
17 839.6
17 839.1
1
97
3
68
17 859.4
17 857.7
2
92
4
17 860.4
2
102
2
69
17 918.5
17 916.9
2
109
1
17 918.3
2
97
3
70
17 960.6
17 959.7
1
93
4
71
18 000.1
17 999.4
1
98
3
72
18 019.6
18 018.0
2
103
2
18 021.9
2
93
4
73
18 079.1
18 079.0
2
98
3
74
18 124.1
18 122.8
1
94
4
75
18 160.3
18 159.6
1
99
3
76
18 185.1
18 185.8
2
94
4
77
18 239.7
18 239.5
2
99
3
18 243.0
1
105
2
78
18 286.7
18 285.8
1
95
4
79
18 320.3
18 319.7
1
100
3
80
18 349.6
18 349.6
2
95
4
81
18 399.8
18 399.9
2
100
3
18 400.2
1
106
2
82
18 449.4
18 448.7
1
96
4
83
18 480.0
18 479.7
1
101
3
84
18 512.9
18 513.3
2
96
4
85
18 559.7
18 557.3
1
107
2
18 560.2
2
101
3
86
18 611.9
18 611.4
1
97
4
87
18 640.1
18 639.5
1
102
3
88
18 676.3
18 676.7
2
97
4
89
18 719.9
18 720.3
2
102
3
90
18 774.3
18 774.0
1
98
4
91
18 799.7
18 799.3
1
103
3
92
18 839.0
18 840.0
2
98
4
18 841.4
2
115
1
93
18 879.0
18 880.4
2
103
3
94
18 936.0
18 936.4
1
99
4
TE, μ = 1; TM, μ = 2. The position is in inverse centimeters.
Table 3
Results of Fit without Dispersion or Offset
Data Set
n
a (μm)
C
S
l*
A
1.348
7.301
0.792
110 (93%)
97
B
1.347
7.897
0.722
72 (77%)
–
Table 4
Results of Fit without Dispersion but with Offset
Data Set
n
a (μm)
Δx
C
S
l*
A
1.364
7.226
0.85
0.909
117 (99%)
96
B
1.364
7.763
1.12
0.954
94 (100%)
–
Table 5
Results of Fit with Dispersion
Data Set
n0
n1(10−6 cm)
a (μm)
C
S
l*
A
1.366
0.964
7.133
0.883
116 (98%)
96
B
1.365
1.06
7.652
0.962
94 (100%)
–
Table 6
Fitted Values of γL for Different Mode Orders and Polarizations