The Scientific World Journal

Research Article

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

Table 2

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)

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