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

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