Tetsuya Hoshino, Saswatee Banerjee, Masahide Itoh, and Toyohiko Yatagai, "Design of a wavelength independent grating in the resonance domain," Appl. Opt. 46, 7942-7956 (2007)
We propose using blazed gratings in the resonance domain with period larger than the wavelength for antireflection and polarization selection. The inherent problem in this region is wavelength dispersion, which is solved by analyzing the total reflectivity and electric field distribution. The positional relationship between the area of strong electric field, and the side and tip of the grating is crucial to the wavelength dispersion of total reflectivity.
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The fill factor of the groove is 0.5, Λ∕λ is 9.1 and d∕Λ is 1.
The groove profile is either rectangular or isosceles triangular in shape.
Parallel light is incident light with θi = 0. Diffusion light is incident light whose θi ranges from 0° to 80° and whose intensity is uniform.
Table 2
Total Reflectivities of Experiment and Calculation for the Surface Relief of the Grating in Case Aa
Mode
Exp. (%)
Calc. (%)
TE
0.6
0.6
TM
0.1
0.02
The polarizations are TE and TM.
Table 3
ds of Experiment and Calculation for the Grating in Case Aa
Period (μm)
1.08
1.8
3
5
Exp. (μm)
6.0
5.3
11.2
11.9
Calc. (μm)
5.95
5.25
11.20
12.00
The periods of gratings are varied from 1.08 to 5 μm and the wavelength is 0.6328 μm.
Table 4
Polarization Ratio of TE to TM About Total Reflectivities of Experiment and Calculation for the Grating With the Base and the Surface Relief in Case Aa
Λ∕λ
1.7
2.8
4.7
7.9
Exp.
2.2
1.7
2.1
2.2
Calc.
1.8
1.4
2.0
2.1
The period is set from 1.08 to 5 μm and the wavelength is 0.6328 μm.
Table 5
Angle of the Local Minimum of Total Reflectivity in Fig. 22 and θBr
n
TM-0.55
TM-0.605
TM-0.64
TM-0.705
θBr
1.5
30
30
30
30
33.69
1.9
27
27
27
26
27.76
The refractive index n is 1.5 or 1.9. ds∕λ is 0.55, 0.605, 0.64 or 0.705. The polarization is TM mode.
Tables (5)
Table 1
Comparison of Total Reflectivities of Rectangular Grating and Triangular Gratinga
The fill factor of the groove is 0.5, Λ∕λ is 9.1 and d∕Λ is 1.
The groove profile is either rectangular or isosceles triangular in shape.
Parallel light is incident light with θi = 0. Diffusion light is incident light whose θi ranges from 0° to 80° and whose intensity is uniform.
Table 2
Total Reflectivities of Experiment and Calculation for the Surface Relief of the Grating in Case Aa
Mode
Exp. (%)
Calc. (%)
TE
0.6
0.6
TM
0.1
0.02
The polarizations are TE and TM.
Table 3
ds of Experiment and Calculation for the Grating in Case Aa
Period (μm)
1.08
1.8
3
5
Exp. (μm)
6.0
5.3
11.2
11.9
Calc. (μm)
5.95
5.25
11.20
12.00
The periods of gratings are varied from 1.08 to 5 μm and the wavelength is 0.6328 μm.
Table 4
Polarization Ratio of TE to TM About Total Reflectivities of Experiment and Calculation for the Grating With the Base and the Surface Relief in Case Aa
Λ∕λ
1.7
2.8
4.7
7.9
Exp.
2.2
1.7
2.1
2.2
Calc.
1.8
1.4
2.0
2.1
The period is set from 1.08 to 5 μm and the wavelength is 0.6328 μm.
Table 5
Angle of the Local Minimum of Total Reflectivity in Fig. 22 and θBr
n
TM-0.55
TM-0.605
TM-0.64
TM-0.705
θBr
1.5
30
30
30
30
33.69
1.9
27
27
27
26
27.76
The refractive index n is 1.5 or 1.9. ds∕λ is 0.55, 0.605, 0.64 or 0.705. The polarization is TM mode.