Table I
Ratio of reconstructed-image luminances of conventional holograms of two object points.
Object illuminance ratio | Reconstructed-image luminance ratio | Beam-balance ratio | Average hologram density |
---|
Measured | Calculated using measured value of gamma | Calculated if γ = −2 |
---|
1.5 | 1.6 | 1.6 | 1.5 | 4.0 | 0.88 |
3.3 | 3.7 | 3.6 | 3.3 | 6.0 | 0.90 |
1200 | 1440 | 1440 | 1200 | 6.5 | 1.24 |
10 000 | 11 300 | 12 200 | 10 000 | 5.3 | 1.10 |
17.5 | 17 | 17.6 | 17.5 | 120 | 1.10 |
175 | 175 | 176 | 175 | 120 | 1.10 |
88 | 100 | 99 | 88 | 8.0 | 0.92 |
8.8 | 9.3 | 9.8 | 8.8 | 7.5 | 0.95 |
Table II
Ratio of reconstructed-image luminance for different numbers of superimposed holograms.
Hologram exposure ratio | Number of object points for hologram | Reconstructed luminance ratio |
---|
Measured | Calculated using measured value of gamma | Calculated if γ = −2 |
---|
Plate 1 | | | | |
2 | 2 | 3.6 | 3.73 | 4 |
2 | 6 | 3.9 | 3.98 | 4 |
2 | 11 | 4.0 | 3.99 | 4 |
Plate 2 | | | | |
3 | 2 | 7.8 | 8.16 | 9 |
3 | 6 | 8.7 | 8.97 | 9 |
3 | 11 | 8.8 | 8.99 | 9 |
Plate 3 | | | | |
3 | 2 | 7.7 | 7.80 | 9 |
3 | 6 | 9.0 | 8.94 | 9 |
3 | 11 | 9.0 | 8.99 | 9 |
Plate 4 | | | | |
3 | 2 | 8.1 | 8.02 | 9 |
3 | 6 | 8.9 | 8.96 | 9 |
3 | 11 | 8.9 | 8.99 | 9 |
Plate 5 | | | | |
2 | 2 | 3.6 | 3.60 | 4 |
2 | 6 | 3.9 | 3.97 | 4 |
2 | 11 | 3.9 | 3.99 | 4 |
Table III
Ratio of reconstructed-image luminances of conventional holograms of different number of object points.
Object illuminance ratio | Number of object points for hologram | Reconstructed luminance ratio |
---|
Measured | Calculated using measured value of gamma | Calculated if γ = −2 |
---|
Plate 1 | | | | |
9.5 | 2 | 11.2 | 10.9 | 9.5 |
9.5 | 6 | 10.5 | 9.9 | 9.5 |
9.5 | 11 | 10.3 | 9.7 | 9.5 |
Plate 2 | | | | |
74 | 2 | 86 | 86.5 | 74 |
74 | 6 | 77 | 76.9 | 74 |
74 | 11 | 74 | 75.4 | 74 |
Plate 3 | | | | |
13.2 | 2 | 14.4 | 14.8 | 13.2 |
13.2 | 6 | 13.8 | 13.6 | 13.2 |
13.2 | 11 | 13.2 | 13.4 | 13.2 |
Plate 4 | | | | |
97 | 2 | 112 | 108.8 | 97 |
97 | 6 | 97 | 99.7 | 97 |
97 | 11 | 93 | 98.3 | 97 |
Plate 5 | | | | |
10 | 2 | 12.0 | 12.3 | 10 |
10 | 6 | 10.4 | 10.6 | 10 |
10 | 11 | 10.0 | 10.3 | 10 |
Plate 6 | | | | |
49 | 2 | 56 | 60.7 | 49 |
49 | 6 | 51 | 52.0 | 49 |
49 | 11 | 50 | 50.5 | 49 |
Table IV
Ratio of total amount of light in reconstruction of hologram of N superimposed exposures, each of exposure E/N, to amount of light reconstruction of hologram of single exposure E.
N, number of exposures | Total-light ratio | Average density of hologram |
---|
Measured | Calculated using measured value of gamma | Calculated if γ = −2 |
---|
2 | 1/1.94 | 1/2 | 1/2 | 0.26 |
5 | 1/5.1 | 1/5 | 1/5 | 0.26 |
8 | 1/8.7 | 1/8.7 | 1/8 | 0.7 |
4 | 1/4.95 | 1/5.95 | 1/4 | 0.7 |
8 | 1/8.33 | 1/8.1 | 1/8 | 0.5 |
Table V
Ratio of total amount of light in reconstruction of holograms of N object points, each of illuminance I/N, to amount of light in reconstruction of hologram of one object point of illuminance I.
N, number of object points | Total-light ratio | Beam-balance ratio | Average density of hologram |
---|
Measured | Calculated using measured value of gamma | Calculated if γ = −2 |
---|
2 | 0.91 | 0.88 | 1 | 4.5 | 0.8 |
2 | 1.0 | 0.99 | 1 | 31.0 | 0.8 |
3 | 0.92 | 0.90 | 1 | 6.0 | 0.7 |
5 | 0.86 | 0.89 | 1 | 8.0 | 0.9 |
5 | 0.75 | 0.76 | 1 | 4.5 | 0.9 |
4 | 0.80 | 0.77 | 1 | 4.0 | 0.75 |
8 | 0.71 | 0.71 | 1 | 4.0 | 0.75 |
12 | 0.70 | 0.69 | 1 | 4.0 | 0.75 |
Table VI
Relative luminance of hologram reconstruction as a function of beam-balance ratio. Note: Relative luminance of reconstruction equals 1 for a beam-balance ratio of 1.
Humber of object points | Beam-balance ratio | Average measured relative luminance of hologram reconstruction | % standard deviation of average measured relative luminance | Calculated relative luminance for given values of E0 and γ | % deviation from measurement |
---|
Luminance | E0 | γ |
---|
1 | 2.9 | 0.921 | 2.1% | 0.9335 | 10 | 4.80 | 1.36% |
| | | | 0.9193 | 10 | 4.90 | −0.185 |
| | | | 0.9553 | 10 | 4.65 | 3.58 |
| | | | 0.9347 | 11 | 5.30 | 1.60 |
| | | | 0.9090 | 9 | 4.45 | −1.30 |
4 | 1.45 | 1.2028 | 1.38 | 1.2031 | 11.5 | 3.25 | 0.26 |
| | | | 1.2010 | 11.5 | 3.30 | 0.083 |
| | | | 1.2072 | 11.5 | 3.15 | 0.60 |
| | | | 1.2048 | 12.5 | 3.55 | 0.40 |
| | | | 1.1944 | 10.5 | 3.10 | −0.30 |
8 | 2.0 | 1.1096 | 1.77 | 1.1161 | 11 | 5.35 | −0.55 |
| | | | 1.1074 | 11 | 5.45 | −0.30 |
| | | | 1.1248 | 11 | 5.25 | 1.33 |
| | | | 1.0704 | 10 | 5.0 | −3.60 |
| | | | 1.0859 | 9 | 5.7 | −2.20 |
12 | 1.45 | 1.1503 | 0.94 | 1.1556 | 10 | 3.75 | 0.46 |
| | | | 1.1444 | 10 | 4.00 | −0.55 |
| | | | 1.1647 | 10 | 3.55 | 1.25 |
| | | | 1.1636 | 11 | 3.95 | 1.16 |
| | | | 1.1452 | 9 | 3.60 | −0.434 |