Table 1.
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′ = 264.9 μm and α y′ = 225.5 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 | 31.5 | 0.0 | 99.9 | 96.4 | 9.9 | 0.0 |
| 20 | 0 | 63.5 | 0.0 | 62.9 | 0.0 | 99.9 | 87.9 | 19.8 | 0.0 |
| 30 | 0 | 95.3 | 0.0 | 94.4 | 0.0 | 99.9 | 74.1 | 29.7 | 0.0 |
| 40 | 0 | 127.0 | 0.0 | 125.9 | 10.8 | 99.7 | 55.2 | 39.6 | 3.6 |
| 50 | 0 | 158.8 | 0.0 | 157.4 | 14.6 | 99.6 | 31.3 | 49.6 | 4.9 |
| 60 | 0 | 190.5 | 0.0 | 188.8 | 12.8 | 99.4 | 9.1 | 59.4 | 4.3 |
| 70 | 0 | 222.3 | 0.0 | 220.3 | 436.8 | 99.2 | 6.6 | 69.4 | 145.6 |
| 80 | 0 | 254.0 | 0.0 | 251.8 | 451.1 | 99.0 | 11.8 | 80.0 | 150.4 |
| 90 | 0 | 285.8 | 0.0 | 283.3 | 473.2 | 98.7 | 17.4 | 90.0 | 157.7 |
| 100 | 0 | 317.5 | 0.0 | 314.8 | 497.1 | 98.4 | 23.2 | 100.0 | 165.7 |
| 10 | 10 | 31.8 | 30.0 | 33.1 | 31.2 | 94.8 | 93.4 | 10.4 | 10.4 |
| 20 | 20 | 63.5 | 60.0 | 70.2 | 62.7 | 75.1 | 88.0 | 22.1 | 20.9 |
| 30 | 30 | 95.3 | 90.0 | 112.4 | 94.6 | 49.6 | 73.9 | 35.4 | 31.5 |
| 40 | 40 | 127.0 | 120.0 | 162.4 | 126.3 | 31.4 | 54.4 | 51.1 | 42.1 |
| 50 | 50 | 158.8 | 150.0 | 255.9 | 156.2 | 23.4 | 30.6 | 80.6 | 52.1 |
| 60 | 60 | 190.5 | 180.0 | 417.0 | 176.0 | 31.2 | 9.4 | 131.3 | 58.7 |
| 70 | 70 | 222.3 | 210.0 | 460.5 | 112.3 | 37.4 | 0.2 | 145.0 | 37.4 |
| 80 | 80 | 254.0 | 240.0 | 494.7 | 112.3 | 36.0 | 1.6 | 155.8 | 37.4 |
| 90 | 90 | 285.8 | 270.0 | 525.6 | 561.4 | 30.7 | 4.2 | 165.5 | 187.1 |
| 100 | 100 | 317.5 | 300.0 | 561.4 | 561.4 | 20.3 | 4.1 | 176.8 | 187.1 |