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The error analysis of quarter wave plate on different polarization shifting algorithm
|關鍵字:||photoelasticity;光彈;error of quarter plate;phase shift methods;波板誤差;相移法||出版社:||機械工程學系所||引用:|| J. W. Dally, W. F. Riley, Experimental stress analysis, 3rd ed., McGraw-Hill, New York, Ch.12-13, 1991  A. Ajovalasit, S. Barone, G. Petrucci, A review of automated method for the collection and analysis of photoelastic data, Journal of strain analysis, Vol.33, No.2, pp.75-91, 1998 N. Plouzennec, A. Lagarde, Two-wavelength method for full-field automated photoelasticity, Exp. Mech. ,Vol.39,No.4,pp.274-277,1999  E. A. Patterson, Z. F. Wang, Towards full field automated photoelastic analysis of complex components, Strain, Vol. 27, No. 2, pp. 49-56, 1991  A. Ajovalasit, S. Barone, G. Petrucci, A method for reducing the influence of quarter-wave plate error in phase stepping photoelasticity, Journal of strain analysis, Vol. 33, No. 3, pp. 207-216, 1998  L. Tong, C. G. Boay, A. Asundi, Novel full-field automated photoelastic analysis technique, Opt. Eng, Vol. 39, No. 10, pp. 2689-2695, 2000  E. A. Patterson, Z. F. Wang, Simultaneous observation of phase-stepping images for automated photoelasticity, Journal of strain analysis, Vol. 33, No. 1, pp. 1-15, 1998  S. Yoneyama, H. Kikuta, Phase-stepping photoelasticity by use of retarders with arbitrary retardation, Exp. Mech. , Vol. 46, pp.289-296, 2006  S. Barone, G. Burriesci, G. Petrucci, Computer aided photoelasticity by an optimum phase stepping method, Exp. Mech. , Vol. 42, No. 2, pp. 132-139, 2002  J. W. Jaronski, H. T. Kasprzak, Generalized algorithm for photoelastic measurements based on phase-stepping imaging polarimetry, Appl. Opt. , Vol.38, No.4, pp.7018-7025, 1999  A.Ajovalasit, S. Barone, G. Petrucci, B. Zuccarello, The influence of the quarter wave plates in automated photoelasticity, Opt. Lasers Eng. , Vol. 38, pp.31-56, 2002  D. K. Tamrakar, K. Ramesh, Simulation of errors in digital photoelasticity by Jones calculus. Strain, Vol. 37, No. 3, pp. 105-112, 2001  M. Ramji, V. Y. Gadre, K. Ramesh, Comparative study of evaluation of primary isoclinic data by various spatial domain methods in digital photoelasticity. Journal of strain analysis, Vol. 41, No. 5, pp.333-348, 2006  P. S. Theocaris, E. E. Gdoutos, Matrix theory of photoelasticity, New York, Springer-Verlag Berlin Heidelberg, 1979. P. S. Theocaris , E. E. Gdoutos, Matrix theory of photoelasticity, Springer-Verlag Berlin Heidelberg New York, Ch.4,1979||摘要:||
The accuracy of parameters from photoelasticity gauging is greatly influenced by the accuracy of retardation from quarter wave plate. In this paper, we use seven different types of phase shift methods to analyze the error; we then are able to control the degree of retardation error, which causes parameter error from photoelasticity, under quarter wave plate in different wavelength. We noticed that, under implementation of phase shifting methods, with more errors we retrieve from wave plates, greater differences from the principal stress angle to principal stress difference would reveal. For example, in six-step phase shifting technology which is proposal from Patterson when the wavelength error is ten degree and the principal stress angle is zero degree, with the difference of principal stress difference, the inaccuracy of principal stress angle can reach to its highest level as forty-five degrees. In percentile, the error extend is even more than a hundred presents. On the other perspective, when the principal stress difference is 0 degree or ±180°, with the difference of principal stress angle, its error can reach to its highest level as 30 degrees. With these examples, we can know that there is important relationship between wave plate errors and polarization shifting algorithm method.
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