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. 2014 Jan 30;2014:704368. doi: 10.1155/2014/704368

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