The study of
Crego and Rustgi [
J. Opt. Soc. Am. B 7,
877 (
1990)] of the reflection of p-polarized waves from a periodically rough multilayered surface, which consists of a thin dielectric film on top of a metallic film with a grating underlayer, is extended by adding higher-harmonic terms to the fundamental profile function of the grating. It is observed that the angles of incidence at which field-enhanced peaks and reflectivity dips occur shift toward smaller values and that the magnitudes of these dips and peaks increase as higher harmonics are added.
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Results for the Reflection Coefficients and Resonant Components for t = 100 Å, d = 500 Å, and ∊2 = 3.13a
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.39
0.960
19.97
0.929
19.46
0.856
20.42
4.12
20.00
6.21
19.49
9.25
22.07
0.963
21.99
0.955
21.94
0.940
22.08
16.0
22.00
23.59
21.94
34.15
Numbers 1, 2, and 3 denote the results for the profiles of Eqs. (5a), (5b), and (5c), respectively. The results for profile 1 differ from those reported in Ref. 1, which are incorrect.
Table 2
Same as in Table 1, for t = 500 Å, d = 500 Å, and ∊2 = 3.0
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.80
0.957
20.32
0.927
19.78
0.855
20.83
1.588
20.35
2.440
19.81
3.821
22.77
0.980
22.75
0.979
22.78
0.980
22.77
2.970
22.76
2.417
22.76
5.488
Table 3
Same as Table 1, for t = 500 Å, d = 500 Å, and ∊2 = 3.5
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.37
0.960
19.95
0.930
19.44
0.857
20.40
4.16
19.98
6.33
19.47
9.47
22.06
0.961
21.97
0.954
21.92
0.941
22.06
15.01
21.98
23.88
21.92
36.12
Table 4
Same as Table 1, for t = 500 Å, d = 500 Å, and ∊2 = 4.0
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
19.52
0.965
19.22
0.937
18.81
0.866
19.54
6.51
19.24
11.81
18.84
19.57
21.66
0.947
21.45
0.917
21.28
0.863
21.67
8.83
21.46
22.87
21.29
54.16
Table 5
Same as Table 1, for t = 1000 Å, a = 500 Å, and ∊2 = 3.0
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.93
0.958
20.44
0.929
19.90
0.860
20.95
0.706
20.46
1.163
19.92
1.944
Table 6
Same as in Table 1, for t = 1000 Å, d = 500 Å, and ∊2 = 3.5
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.45
0.960
20.02
0.929
19.50
0.857
20.48
3.698
20.40
5.553
19.53
8.33
22.15
0.965
22.08
0.959
22.03
0.950
22.15
13.56
22.08
18.83
22.04
25.33
Table 7
Same as Table 1, for t = 1000 Å, d = 500 Å, and ∊2 = 4.0
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
18.83
0.967
18.60
0.941
18.27
0.872
18.86
7.47
18.62
15.15
18.29
27.86
21.53
0.942
21.25
0.906
21.00
0.832
21.54
5.23
21.26
14.23
21.01
37.68
Table 8
Same as Table 1, for t = 500 Å, d = 1000 Å, and ∊2 = 3.13a
Results for the Reflection Coefficients and Resonant Components for t = 100 Å, d = 500 Å, and ∊2 = 3.13a
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.39
0.960
19.97
0.929
19.46
0.856
20.42
4.12
20.00
6.21
19.49
9.25
22.07
0.963
21.99
0.955
21.94
0.940
22.08
16.0
22.00
23.59
21.94
34.15
Numbers 1, 2, and 3 denote the results for the profiles of Eqs. (5a), (5b), and (5c), respectively. The results for profile 1 differ from those reported in Ref. 1, which are incorrect.
Table 2
Same as in Table 1, for t = 500 Å, d = 500 Å, and ∊2 = 3.0
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.80
0.957
20.32
0.927
19.78
0.855
20.83
1.588
20.35
2.440
19.81
3.821
22.77
0.980
22.75
0.979
22.78
0.980
22.77
2.970
22.76
2.417
22.76
5.488
Table 3
Same as Table 1, for t = 500 Å, d = 500 Å, and ∊2 = 3.5
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.37
0.960
19.95
0.930
19.44
0.857
20.40
4.16
19.98
6.33
19.47
9.47
22.06
0.961
21.97
0.954
21.92
0.941
22.06
15.01
21.98
23.88
21.92
36.12
Table 4
Same as Table 1, for t = 500 Å, d = 500 Å, and ∊2 = 4.0
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
19.52
0.965
19.22
0.937
18.81
0.866
19.54
6.51
19.24
11.81
18.84
19.57
21.66
0.947
21.45
0.917
21.28
0.863
21.67
8.83
21.46
22.87
21.29
54.16
Table 5
Same as Table 1, for t = 1000 Å, a = 500 Å, and ∊2 = 3.0
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.93
0.958
20.44
0.929
19.90
0.860
20.95
0.706
20.46
1.163
19.92
1.944
Table 6
Same as in Table 1, for t = 1000 Å, d = 500 Å, and ∊2 = 3.5
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
20.45
0.960
20.02
0.929
19.50
0.857
20.48
3.698
20.40
5.553
19.53
8.33
22.15
0.965
22.08
0.959
22.03
0.950
22.15
13.56
22.08
18.83
22.04
25.33
Table 7
Same as Table 1, for t = 1000 Å, d = 500 Å, and ∊2 = 4.0
1
2
3
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
θ
|R0|2
|R−1|2
18.83
0.967
18.60
0.941
18.27
0.872
18.86
7.47
18.62
15.15
18.29
27.86
21.53
0.942
21.25
0.906
21.00
0.832
21.54
5.23
21.26
14.23
21.01
37.68
Table 8
Same as Table 1, for t = 500 Å, d = 1000 Å, and ∊2 = 3.13a
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