Application and Optimisation of the Spatial Phase Shifting ...

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180 References [Bot97] [Bra87] [Bro87] [Bro98] [Bro00] [Bru74] [vBru98] [vBru99] T. Bothe, J. Burke, H. Helmers, Spatial phase shifting in ESPI: minimization of phase reconstruction errors, Appl. Opt. 36.22 (1997), 5310-5316 R. Bracewell: The Fourier transform and its applications, McGraw-Hill, New York (1987), 2 nd edition I. Bronshtein, K. Semendyaev: Taschenbuch der Mathematik, G. Grosche, V. Ziegler, D. Ziegler, eds., Harri Deutsch Verlag, Thun, 23 rd edition (1987) A. Brozeit, J. Burke, H. Helmers, H. Sagehorn, R. Schuh: Noise reduction in ESPI fringes by merging orthogonally polarised speckle fields, Opt. Las. Technol. 30 (1998), 325-329 A. Brozeit, J. Burke, H. Helmers: Active phase stabilisation in ESPI without additional optical components, Opt. Comm. 173 (2000), 95-100 H. Bruning, D. Herriott, J. Gallagher, D. Rosenfeld, A. White, D. Brangaccio: Digital wavefront measuring interferometer for testing optical surfaces and lenses, Appl. Opt. 13.11 (1974), 2693-2703 H. van Brug: Temporal phase unwrapping and its application in shearography systems, Appl. Opt. 37.28 (1998), 6701-6706 H. van Brug: Temporal phase unwrapping with two or four images per time frame: a comparison, in: Interferometry 99: Techniques and Technologies, Proc. SPIE 3744 (1999), 358-365 [Bur78] C. Burckhardt: Speckle in ultrasound B-mode scans, Trans. IEEE SU-25.1 (1978), 1-6 [Bur98a] [Bur98b] [Bur99a] [Bur00a] [Bur00b] [Cap97] J. Burke, H. Helmers, C. Kunze, V. Wilkens, Speckle intensity and phase gradients: influence on fringe quality in spatial phase shifting ESPI systems, Opt. Comm. 152 (1998), 144-152 J. Burke, H. Helmers: Complex division as a common basis for calculating phase differences in ESPI in one step - Technical Note, Appl. Opt. 37.13 (1998), 2589-2590 J. Burke, H. Helmers: Performance of spatial vs. temporal phase shifting in ESPI, in: Interferometry 99: Techniques and Technologies, Proc. SPIE 3744 (1999), 188-199 J. Burke, H. Helmers: Spatial vs. temporal phase shifting in ESPI: noise comparison in phase maps, Appl. Opt. 39.25 (2000), 4598-4606 J. Burke, H. Helmers: Matched data storage in ESPI by combination of spatial phase shifting with temporal phase unwrapping, Opt. Las. Technol. (2000), in press A. Capanni, L. Pezzati, D. Bertani, M. Cetica, F. Francini: Phase-shifting speckle interferometry: a noise reduction filter for phase unwrapping, Opt. Eng. 36.9 (1997), 2466-2472 [Car66] P. Carré: Installation et utilisation du comparateur photoélectrique et interférentiel, Metrologia 2.1 (1966), 13-23 [Cha79] [Cha85] P. Chandley, H. Escamilla: Speckle from a rough surface when the illuminated region contains few correlation areas: the effect of changing the surface height variance, Opt. Comm. 29 (1979), 151-154 M. Chang, C. Hu, P. Lam, J. Wyant: High precision deformation measurement by digital phase shifting holographic interferometry, Appl. Opt. 24.22 (1985), 3780-3783 [Che85] Y. Cheng, J. Wyant: Phase shifter calibration in phase-shifting interferometry, Appl. Opt. 24.18 (1985), 3049-3052 [Che91] [Cog99] J. Chen, R. Zhu, L. Liu, D. Chen: Two dimensional Fourier transform algorithm analyzing the interferogram and the fringe shift, in: Laser Interferometry IV: Computer-Aided Interferometry, Proc. SPIE 1553 (1991), 616-625 R. Coggrave, J. Huntley: Real-time speckle interferometry fringe analysis system, in: Interferometry 99: Techniques and Technologies, Proc. SPIE 3744 (1999), 464-473 [Col92] D. Colucci, P. Wizinowich: Millisecond phase acquisition at video rates, Appl. Opt. 31.28 (1992), 5919-5925 [Cre85a] K. Creath: Phase-shifting speckle interferometry, in: International Conference on Speckle, Proc. SPIE 556 (1985), 337-346
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Application and Optimisation of the
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Table of Contents 1 1 INTRODUCTION
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3 1 Introduction The present era of
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Introduction 5 retrieval can help t
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7 2 Statistical Properties of Speck
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2.1 Experimental set-up 9 Gaussian
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2.2 First-order speckle statistics
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2.3 Second-order speckle statistics
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47 3 Electronic or Digital Speckle
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3.1 Subtraction-mode ESPI 49 some 4
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3.2 Phase-shifting ESPI 51 filled u
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3.2 Phase-shifting ESPI 53 known si
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3.2 Phase-shifting ESPI 55 α n =α
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3.2 Phase-shifting ESPI 57 But reme
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3.2 Phase-shifting ESPI 59 ϕ ϕ O,
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3.2 Phase-shifting ESPI 61 These fo
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3.2 Phase-shifting ESPI 63 ∞ ~ ~
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3.2 Phase-shifting ESPI 65 ∞ N
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3.2 Phase-shifting ESPI 67 The spec
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3.2 Phase-shifting ESPI 69 − 0. 2
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3.2 Phase-shifting ESPI 71 ν x 0 i
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3.2 Phase-shifting ESPI 73 to think
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3.3 Temporal phase shifting 75 Agai
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3.3 Temporal phase shifting 77 addi
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3.4 Spatial phase shifting 79 which
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3.4 Spatial phase shifting 81 3.4.1
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3.4 Spatial phase shifting 83 cross
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3.4 Spatial phase shifting 85 Fig.
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3.4 Spatial phase shifting 87 arran
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3.4 Spatial phase shifting 89 infor
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3.4 Spatial phase shifting 91 frequ
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3.4 Spatial phase shifting 93 altho
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3.4 Spatial phase shifting 95 error
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3.4 Spatial phase shifting 97 Since
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100 Quantification of displacement-
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110
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112 Comparison of noise in phase ma
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Page 132 and 133: 130 Comparison of noise in phase ma
Page 134 and 135: 132 Comparison of noise in phase ma
Page 136 and 137: 134 Improvements on SPS intensity o
Page 138 and 139: 136 Improvements on SPS 0.14 σ d /
Page 140 and 141: 138 Improvements on SPS we are conc
Page 142 and 143: 140 Improvements on SPS 6.2 Modifie
Page 146 and 147: 144 Improvements on SPS Fig. 6.7 te
Page 148 and 149: 146 Improvements on SPS Finally, bo
Page 150 and 151: 148 Improvements on SPS To use the
Page 152 and 153: 150 Improvements on SPS The improve
Page 154 and 155: 152 Improvements on SPS On the whol
Page 156 and 157: 154 Improvements on SPS In classica
Page 158 and 159: 156 Improvements on SPS generally n
Page 162 and 163: 160 Improvements on SPS uncertain,
Page 164 and 165: 162 Improvements on SPS To obtain p
Page 166 and 167: 164 Improvements on SPS Fig. 6.22:
Page 168 and 169: 166 Improvements on SPS This proced
Page 170 and 171: 168 Improvements on SPS 6.7.2 Long-
Page 172 and 173: 170 Improvements on SPS Fig. 6.28:
Page 174 and 175: 172 Improvements on SPS the heater
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Page 178 and 179: 176 Summary method to search for a
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Page 184 and 185: 182 References [Ett97] [Fac93] [Far
Page 186 and 187: 184 References [Har94] [Her96] [Het
Page 188 and 189: 186 References [Kuj89] [Kuj91a] [Ku
Page 190 and 191: 188 References [McLa86] [Mer83] J.
Page 192 and 193: 190 References [Rav99] I. Raveh, E.
Page 194 and 195: 192 References [Sur98b] [Sur98c] [S
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Page 198 and 199: 196 Appendix A: Counting events and
Page 200 and 201: 198 Appendix B: Real-time phase cal
Page 202 and 203: 200 Appendix C: Derivation of inten
Page 204 and 205: I 1 a r g ( S ~ ( ) ) 202 Appendix
Page 206 and 207: 204 Appendix D: Alternative error-c
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Page 212 and 213: 210 The author List of publications
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