Table I
Complex Refractive Index n + ik of the Dielectric Substances7,8 for Which Efficiencies and Spectral Responses of the Antireflected Metal Mirror were Calculated
| SUBSTANCES |
---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
---|
λ (μ) | TiO2 | CeO2 | CeO2 | La2 O3 | La2 O3 | CeF3 | | |
---|
n | k | n | k | n | k | n | k | n | k | n | k | n | k | n | k |
---|
.30 | 2.86 | 1.05 | 2.60 | 1.05 | 2.30 | 0.90 | 2.125 | 0.02 | 1.975 | 0.02 | 1.700 | 0. | 2.375 | 0.90 | 2.375 | 0.02 |
.32 | 3.26 | 0.90 | 3.00 | 0.90 | 2.60 | 0.75 | 2.105 | 0.01 | 1.955 | 0.01 | 1.680 | | 2.355 | 0.75 | 2.355 | 0.01 |
.34 | 3.41 | 0.50 | 3.15 | 0.50 | 2.75 | 0.25 | 2.085 | 0. | 1.935 | 0. | 1.670 | | 2.335 | 0.50 | 2.335 | 0. |
.36 | 3.26 | 0.15 | 3.00 | 0.15 | 2.65 | 0.10 | 2.065 | | 1.915 | | 1.665 | | 2.315 | 0.25 | 2.315 | |
.38 | 3.06 | 0.05 | 2.80 | 0.05 | 2.55 | 0. | 2.045 | | 1.895 | | 1.660 | | 2.295 | 0.10 | 2.295 | |
.40 | 2.96 | 0. | 2.70 | 0. | 2.50 | | 2.025 | | 1.875 | | 1.655 | | 2.275 | 0. | 2.275 | |
.50 | 2.70 | | 2.45 | | 2.30 | | 1.975 | | 1.850 | | 1.640 | | 2.225 | | 2.225 | |
.60 | 2.66 | | 2.38 | | 2.20 | | 1.950 | | 1.825 | | 1.625 | | 2.200 | | 2.200 | |
.70 | 2.64 | | 2.37 | | 2.15 | | 1.900 | | 1.775 | | 1.620 | | 2.150 | | 2.150 | |
.80 | 2.62 | | 2.37 | | 2.10 | | 1.900 | | 1.775 | | 1.615 | | 2.150 | | 2.150 | |
.95 | 2.62 | | 2.36 | | 2.10 | | 1.900 | | 1.775 | | 1.610 | | 2.125 | | 2.125 | |
2 . | 2.62 | | 2.35 | | 2.10 | | 1.875 | | 1.750 | | 1.605 | | 2.120 | | 2.120 | |
4 . | 2.62 | | 2.35 | | 2.10 | | 1.850 | | 1.725 | | 1.605 | | 2.110 | | 2.110 | |
6 . | 2.62 | | 2.35 | | 2.10 | | 1.850 | | 1.725 | | 1.605 | | 2.110 | | 2.110 | |
8 . | 2.62 | | 2.35 | | 2.10 | | 1.850 | | 1.725 | | 1.605 | | 2.110 | | 2.110 | |
10 . | 2.62 | | 2.35 | | 2.10 | | 1.850 | | 1.725 | | 1.605 | | 2.110 | | 2.110 | |
Note: Substance 1 has the refractive index of TiO
2 films
9 at 600 nm. To get groups of substances with homogeneous dispersions and UV absorptances we have assumed the same dispersion curve and
k values as those of CeO
2. For the infrared λ > 2
μm we have assumed constant refractive indices for all substances. Substances 7 and 8 are hypothetical and were included in order to analyze the influence of dispersion and UV absorptance. In the text we have referred to these substances by their refractive index at λ = 600 nm.
Table II
Maximum Combined Efficiency (as Obtained from Fig. 12 and the Like) as a Function of the Thicknesses of the Films
| CONCENTRATION: 10 |
---|
La2 O3 | 440 | 460 | 480 | 500 | 520 | 540 | 560 |
---|
AgSv |
---|
30 | | | .392 | .392 | .392 | .392 | .392 |
40 | | | .403 | .403 | .403 | .403 | .403 |
50 | .406 | .407 | .407 | .408 | .408 | .407 | .407 |
60 | .405 | .406 | .406 | .407 | .406 | .406 | .405 |
70 | .400 | .401 | .402 | .402 | .402 | .401 | .400 |
80 | .393 | .394 | .394 | .395 | .394 | .393 | .392 |
Note: Dielectric La
2O
3,
n = 1.95; concentration 10; normal incidence. Similar tables were obtained for each concentration and dielectric. The maximum values of these tables are plotted in
Fig. 13. Thicknesses of the films in nm (E).
Table III
Thickness Giving the Maximum Combined Efficiency for Various Dielectric Substances and Concentrations
Dielectric Substance | n at 600 nm | CONCENTRATIONS |
---|
1 | 3 | 10 | 30 | 100 |
---|
1 | 2.66 | 35/11/35 | 35/9/35 | 35/9/35 | 35/8/35 | 35/7/35 |
2 | 2.4 | 40/9/40 | 40/8/40 | 40/7/40 | 40/7/40 | 40/6/40 |
3 | 2.2 | 44/8/44 | 44/7/44 | 44/6/44 | 44/5/44 | 44/5/44 |
4 | 1.95 | 50/7/50 | 50/6/50 | 50/5/50 | 50/4/50 | 52/4/52 |
5 | 1.825 | 54/6/54 | 54/5/54 | 56/5/56 | 56/4/56 | 56/3/56 |
6 | 1.625 | 62/6/62 | 62/5/62 | 62/4/62 | 62/3/62 | 62/2.5/62 |
7 | 2.2 | 46/8/46 | 46/7/46 | 48/6/48 | 48/6/48 | 48/5/48 |
8 | 2.2 | 46/8/46 | 44/7/44 | 44/6/44 | 44/6/44 | 44/5/44 |
Note: For each mirror we give the thickness in nanometers for the layers in the same order as they are in the mirror, that is, dielectric/metal/dielectric.