Research Article

A Simulation Analysis of an Extension of One-Dimensional Speckle Correlation Method for Detection of General In-Plane Translation

Table 1

Object’s translation components and computed from acquired positions and of the maxima and of normalized cross-correlation function of intensities and by means of (4) and (5). Initial parameters of the computer simulation are according to Figure 1:  mm,  mm, , ,  m,  m, , μm, and  nm. Mean speckle size of detected speckle pattern oriented along - and -axes direction is μm and 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
  (μm)   (μm)   (μm)   (μm) μm)  (μm)   (%)   (%)   (μm)   (μm)

10031.80.031.50.099.996.49.90.0
20063.50.062.90.099.987.919.80.0
30095.30.094.40.099.974.129.70.0
400127.00.0125.910.899.755.239.63.6
500158.80.0157.414.699.631.349.64.9
600190.50.0188.812.899.49.159.44.3
700222.30.0220.3436.899.26.669.4145.6
800254.00.0251.8451.199.011.880.0150.4
900285.80.0283.3473.298.717.490.0157.7
1000317.50.0314.8497.198.423.2100.0165.7
101031.830.033.131.294.893.410.410.4
202063.560.070.262.775.188.022.120.9
303095.390.0112.494.649.673.935.431.5
4040127.0120.0162.4126.331.454.451.142.1
5050158.8150.0255.9156.223.430.680.652.1
6060190.5180.0417.0176.031.29.4131.358.7
7070222.3210.0460.5112.337.40.2145.037.4
8080254.0240.0494.7112.336.01.6155.837.4
9090285.8270.0525.6561.430.74.2165.5187.1
100100317.5300.0561.4561.420.34.1176.8187.1