Table 2.
Object's translation components a x and a y computed from acquired positions A x′ and A y′ of the maxima r 12(A x′) and r 12(A y′) of normalized cross-correlation function r 12 of intensities I 1 and I 2 by means of (4) and (5). Initial parameters of the computer simulation are according to Figure 1: V x = V y = 4 mm, V x′ = V y′ = 8 mm, m i = n i = 400, m = n = 570, L o = 0.4 m, L s = 0.2 m, θ o = 30°, ω o = 60 μm, and λ = 632.8 nm. Mean speckle size of detected speckle pattern oriented along x′- and y′-axes direction is α x′ = 133.6 μm and α y′ = 117.7 μm. For the sake of clarity, the values of object's translation components (columns 1 and 2) and corresponding evaluated values (columns 9 and 10) are highlighted by bold font.
| Object's translation | Theoretical speckle displacement | Detected speckle displacement | Maximum of cross-correlation function | Evaluated object's translation | |||||
|---|---|---|---|---|---|---|---|---|---|
| a x (μm) | a y (μm) | A x′ theor (μm) | A y′ theor (μm) | A x′ (μm) | A y′ (μm) | r 12(A x′) (%) | r 12(A y′) (%) | a x (μm) | a y (μm) |
| 10 | 0 | 31.8 | 0.0 | 31.7 | 0.0 | 99.9 | 82.9 | 10.0 | 0.0 |
| 20 | 0 | 63.5 | 0.0 | 63.4 | 0.0 | 99.9 | 35.3 | 20.0 | 0.0 |
| 30 | 0 | 95.3 | 0.0 | 95.1 | 315.2 | 99.8 | 18.7 | 30.0 | 105.1 |
| 40 | 0 | 127.0 | 0.0 | 126.8 | 137.7 | 99.7 | 8.9 | 39.9 | 45.9 |
| 50 | 0 | 158.8 | 0.0 | 158.6 | 124.7 | 99.6 | 11.8 | 49.9 | 41.6 |
| 60 | 0 | 190.5 | 0.0 | 190.3 | 113.3 | 99.5 | 12.4 | 59.9 | 37.8 |
| 70 | 0 | 222.3 | 0.0 | 222.1 | 97.5 | 99.4 | 8.2 | 70.0 | 32.5 |
| 80 | 0 | 254.0 | 0.0 | 253.9 | 0.0 | 99.2 | 7.5 | 80.0 | 0.0 |
| 90 | 0 | 285.8 | 0.0 | 285.6 | 0.0 | 99.1 | 12.7 | 90.0 | 0.0 |
| 100 | 0 | 317.5 | 0.0 | 317.3 | 0.0 | 98.9 | 16.0 | 99.9 | 0.0 |
| 10 | 10 | 31.8 | 30.0 | 28.5 | 30.1 | 63.8 | 81.9 | 9.0 | 10.0 |
| 20 | 20 | 63.5 | 60.0 | 54.5 | 57.4 | 12.6 | 37.1 | 17.2 | 19.1 |
| 30 | 30 | 95.3 | 90.0 | 321.5 | 407.6 | 6.8 | 17.8 | 101.2 | 135.9 |
| 40 | 40 | 127.0 | 120.0 | 343.6 | 249.8 | 21.3 | 10.7 | 108.2 | 83.3 |
| 50 | 50 | 158.8 | 150.0 | 381.6 | 265.3 | 29.4 | 13.5 | 120.2 | 88.4 |
| 60 | 60 | 190.5 | 180.0 | 417.3 | 274.0 | 27.3 | 15.9 | 131.4 | 91.3 |
| 70 | 70 | 222.3 | 210.0 | 0.0 | 216.9 | 19.2 | 14.1 | 0.0 | 72.3 |
| 80 | 80 | 254.0 | 240.0 | 441.8 | 193.0 | 9.8 | 18.7 | 139.1 | 64.6 |
| 90 | 90 | 285.8 | 270.0 | 318.5 | 222.2 | 7.1 | 23.6 | 100.3 | 73.7 |
| 100 | 100 | 317.5 | 300.0 | 505.3 | 261.5 | 3.4 | 19.7 | 159.1 | 87.2 |