The paper is devoted to study theoretically, the effects
of some parameters on the visibility of the speckle patterns. For this propose,
a theoretical model for a periodic rough surface was considered. Using this
theoretical model, the effects of grain height, its density, the band width and
spectral distribution of the line profile (Gaussian and Lorentzian) illuminating
a rough surface on the visibility of speckle pattern are investigated. An
experimental setup was constructed to study the effect of surface roughness and
coherence of the illuminating light beam on the contrast of speckle pattern.
The general behavior of the experimental results, which agree with published
data, is compatible with the new theoretical model.
References
[1]
E. Archbuld, J. M. Burch and A. E. Ennos, “Recording of In-Plane Surface Displacement by Double-Exposure Speckle Photography,” Optica Acta, Vol. 17, No. 12, 1970, pp. 883-898. doi:10.1080/713818270
[2]
K. R. Erf, “Speckle Metrology,” Chapter 4, Academic Press, New York, San Francisco, London, 1978.
[3]
H. J. Tiziani, “Application of Speckling for In-Plane Vibration Analysis,” Optica Acta, Vol. 18, No. 12, 1971, pp. 891-902. doi:10.1080/713818406
[4]
H. Fujii and T. Asakura, “Coherence Measurement of Quasi Monochromatic Thermal Light Using Speckle Patterns 1,” Optik, Vol. 39, 1973, pp. 99-117.
[5]
H. Fujii and T. Asakura, “Coherence Measurement of Quasi Monochromatic Thermal Light Using Speckle Patterns II,” Optik, Vol. 39, 1973, pp. 284-302.
[6]
H. Fujji and T. Asakura, “A Contrast Variation of Image Speckle Intensity under Illumination of Partially Coherent Light,” Optics Communications, Vol. 12, No. 1, 1974, pp. 32-38.
[7]
T. Asakura, H. Fujii and K. Murata, “Measurement of Spatial Coherence Using Speckle Pattern,” Optica Acta, Vol. 19, No. 4, 1972, pp. 273-290.
doi:10.1080/713818561
[8]
H. Fujiwara, T. Asakura and K. Murata, “Some Effects of Spatial and Temporal Coherence in Holography,” Optica Acta, Vol. 17, No. 11, 1970, pp. 823-838.
doi:10.1080/713818257
[9]
C. Parry, “Some Effects of Temporal Coherence on the First Order Statistics of Speckle,” Optica Acta, Vol. 21, No. 10, 1974, pp. 763-772. doi:10.1080/713818852
[10]
E. A. Guillemin, “The Mathematics of Circuit Analysis,” John Wiley and Sons, New York, 1951, p. 530.
[11]
C. F. Cheng, C. X. Liu, N. Y. Zhang, T. Q. Jia, R. X. Li, and Z. Z. Xu, “Absolute Measurement of Roughness and Lateral-Correlation Length of Random Surfaces by Use of the Simplified Model of Image-Speckle Contrast,” Applied Optics, Vol. 41, No. 20, 2002, pp. 4148-4156.
doi:10.1364/AO.41.004148
[12]
H. Fujji and T. Asakura, “Statistical Properties of Image Speckle Patterns in Partially Coherent Light,” Nouvelle Revue d’Optique, Vol. 6, No. 1, 1975, pp. 5-14.
doi:10.1088/0335-7368/6/1/301
