Abstract
In this chapter we consider the criteria for designing the optimum holographic interferometer to determine the displacement vector of a point on the surface of a strained body. There are three major approaches presently available to specify or improve the interferometer parameters, that minimize the errors in the displacement vector determination. The most widely used method is simply to compare the holographic results with values derived from other techniques of measurement or obtained analytically or by computation. The degree to which the various results agree serves as a guide to improving the holography apparatus. In this way, for instance, one can estimate the necessary redundancy in the measurements to achieve the desired accuracy in different methods of interferogram interpretation [3.1–5]. One can also decide which parameters should be altered so that the displacement vectors can be determined with the minimum number of equations, namely three [3.6]. It should be stressed that this approach does not yield any information on the lowest possible values of the errors.
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References
S.K. Dhir, J.P. Sikora: An improved method for obtaining the general displacement field from a holographic interferogram. Exp. Mech. 12, 323–327 (1972)
P.W. King III: Holographic interferometry technique utilizing two plates and relative fringe orders for measuring microdisplacements. Appl. Opt. 13, 231–233 (1974)
H. Kohler: Untersuchungen zur quantitativen Analyse der holographischen Int-erferometrie. Optik 39, 229–235 (1974)
CA. Sciammarella, T.Y. Chiang: Holographic interferometry applied to the solution of shell problem. Exp. Mech. 14, 217–224 (1974)
C.A. Sciammarella, J.A. Gilbert: Strain analysis of a disc subjected to diametric compression by means of holographic interferometry. Appl. Opt. 12, 1951–1956 (1973)
H. Kohler: Zur Vermessung holographisch-interferometrischer Verformungsfelder. Optik 47, 271–282 (1977)
N.G. Vlasov, A.E. Shtan’ko: Measurement error evaluation in the holographic interferometry of reflecting objects, in Proc. VII All-Union School on Holography (LINP, Leningrad 1975) pp.212–222
D. Noblis, C.M. Vest: Statistical analysis of errors in holographic interferometry. Appl. Opt. 17, 2198–2204 (1978)
W. Osten, C Lange: Einige ergänzende Betrachtungen zur statistischen Fehler-Analyse nach Nobis und Vest. FMC-Ser. Inst. Mech. Akad. Wiss. DDR N13, 88–102(1984)
W. Osten: Some consideration on the statistical error analysis in holographic interferometry with application to an optimized interferometry. Opt. Acta 32, 827–838 (1985)
W. Osten: Zur optimalen Aufnahme und Auswertung holographischer Interfero-grammen unter Berücksichtigung der Möglichkeiten der digitalen Bildverarbeitung. FMC-Ser. Inst. Mech. Akad. Wiss DDR N13, 14–43 (1984)
S.T. De, A.G. Kozachok, A.V. Loginov, Yu.N. Solodkin: Holographic interferometer with a minimal deformation and displacement measurement error, in Golograficheskiye Izmeritelnye Sistemy (holographic measurement systems), ed. by A. Kozachok (NETI, Novosibirsk 1986) pp.30–50
V.S. Pisarev, V.P. Shchepinov, V.V. Yakovlev: Optimization of a holographic interferometer for determining displacement vector components from relative fringe orders. Opt. Spektrosk. 56, 900–906 (1984)
V.S. Pisarev, V.V. Yakovlev, V.O. Indisov, V.P. Shchepinov: Experimental design for deformation measurement by holographic interferometry. Zhur. Tekh. Fiz. 53, 292–300 (1983)
K. Erkler, L. Wenke, W. Schreiber: Berechnung von Hologramminterferometern bestmöglicher Konditionierung. Feingerätetechnik 29, 510–514 (1980)
H. Kohler: Holografische Interferometrie: VI. Aspekte der Auswertungs-Optimierung. Optik 62, 413–423 (1982)
T. Matsumoto, K. Iwata, R. Nagata: Measuring accuracy of three-dimension displacements in holographic interferometry. Appl. Opt. 12, 961–967 (1973)
H. Kohler: General formulation of the holographic-interferometric evaluation methods. Optik 47, 469–475 (1977)
P. Weselowski: Some practical problems of displacement strain measurement by incoherent superposition of interferograms. Mechanika Teoretyczna Istosiwana 22, 69–76(1984)
L. Ek, K. Biedermann: Analysis of a system for hologram interferometry with a continuously scanning reconstruction beam. Appl. Opt. 16, 2535–2542 (1977)
O.G. Lisin: On the accuracy of measuring spatial displacements of diffusely reflecting objects by holographic interferometry. Opt. Spektrosk. 50, 521–531 (1981)
D.K. Fadeyev, V.N. Fadeyeva: Vychislitelnye Melody Lineinoi Algebry (numerical methods of linear algebra) (Fizmatgiz, Moscow 1963)
V.V. Voevodin: Vychislitelnye Osnovy Lineinoi Algebry (numerical methods in linear algebra) (Nauka, Moscow 1977)
G. Forsythe, C.B. Moler: Computer Solution of Linear Algebraic Systems (Prentice-Hall, Englewood Cliffs, N.J. 1967)
J.D. Day: Errors in the computation of linear algebraic systems. Int’l J. Math. Educ. Sci. Tech. 9, 89–95 (1978)
L. Wenke, W. Schreiber, K. Erlen Genauigkeit von Verfahren zur quantitativen Auswertung holografischer Interferogrammen. Feingerätetechnik 29, 413–416 (1980)
A.N. Guz’, LS. Chernyshenko, V.I. Chekhov: Tsilindricheskiye Obolochki Osla-blennye Otverstiyami (cylindrical shells weakened by holes) (Naukova Dumka, Kiev 1974)
V.O. Indisov, V.S. Pisarev, V.P. Shchepinov, V.V. Yakovlev: Using reflection hologram interferometers to study local strains. Zhur. Tekh. Fiz. 56, 701–707 (1986)
V.O. Indisov, V.S. Pisarev, V.P. Shchepinov, V.V. Yakovlev: Comparison of holographic interferogram interpretation from absolute and relative fringe orders in strain measurement, in Deformatsiya i Razrusheniye Materialov i Kon-struktsii Atomnoi Tekhniki (strain and fracture of materials and structures in atomic engineering) (Energoizdat, Moscow 1983) pp.45–54
R.J. Pryputniewicz, W.W. Bowley: Techniques of holographic displacement measurement: An experimental comparison. Appl. Opt. 17, 1748–1756 (1978)
V.A. Zhilkin, S.I. Gerasimov: On a possibility of studying deformed state with an overlay interferometer. Zhur. Tekh. Fiz. 52, 2072–2085 (1982)
V.A. Zhilkin, S.I. Gerasimov, V.N. Sandarskii: Error evaluation of displacement measurements with an overlay interferometer. Opt. Spektrosk. 62, 1385–1389 (1987)
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Ostrovsky, Y.I., Shchepinov, V.P., Yakovlev, V.V. (1991). Optimization of Holographic Interferometers. In: Holographic Interferometry in Experimental Mechanics. Springer Series in Optical Sciences, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47068-7_3
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DOI: https://doi.org/10.1007/978-3-540-47068-7_3
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