메뉴 건너뛰기




Volumn 13, Issue 11, 2005, Pages 4070-4084

Estimation of multiple phases in holographic moiré in presence of harmonics and noise using minimum-norm algorithm

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; OPTICAL DATA PROCESSING; PHASE COMPOSITION; PHASE MEASUREMENT; PHASE SHIFT; WAVEFORM ANALYSIS;

EID: 21244474016     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OPEX.13.004070     Document Type: Article
Times cited : (11)

References (42)
  • 1
    • 0000330709 scopus 로고
    • Phase-shifting holographic interferometry
    • P. K. Rastogi, ed. (Springer Series in Optical Sciences, Berlin)
    • K. Creath, "Phase-shifting holographic interferometry," Holographic Interferometry, P. K. Rastogi, ed. (Springer Series in Optical Sciences, Berlin 1994), Vol.68, pp. 109-150.
    • (1994) Holographic Interferometry , vol.68 , pp. 109-150
    • Creath, K.1
  • 3
    • 0002834304 scopus 로고
    • Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures
    • P. Carré, "Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures," Metrologia 2, 13-23 (1966).
    • (1966) Metrologia , vol.2 , pp. 13-23
    • Carré, P.1
  • 5
    • 0001418962 scopus 로고
    • Phase shifting interferometry
    • ed D. Malacara (New York: Wiley)
    • J. E. Greivenkamp and J. H. Bruning, Phase shifting interferometry Optical Shop Testing ed D. Malacara (New York: Wiley) 501-598 (1992).
    • (1992) Optical Shop Testing , pp. 501-598
    • Greivenkamp, J.E.1    Bruning, J.H.2
  • 6
    • 0020844269 scopus 로고
    • Digital wave-front measuring interferometry: Some systematic error sources
    • J. Schwider, R. Burow, K. E. Elssner, J. Grzanna, R. Spolaczyk, and K. Merkel, "Digital wave-front measuring interferometry: some systematic error sources," Appl. Opt. 22, 3421-3432 (1983).
    • (1983) Appl. Opt. , vol.22 , pp. 3421-3432
    • Schwider, J.1    Burow, R.2    Elssner, K.E.3    Grzanna, J.4    Spolaczyk, R.5    Merkel, K.6
  • 7
    • 0038500700 scopus 로고    scopus 로고
    • Method for designing error-compensating phase-calculation algorithms for phase-shifting interferometry
    • Y. Zhu and T. Gemma, "Method for designing error-compensating phase-calculation algorithms for phase-shifting interferometry," App. Opt. 40, 4540-4546 (2001).
    • (2001) App. Opt. , vol.40 , pp. 4540-4546
    • Zhu, Y.1    Gemma, T.2
  • 8
    • 84928815585 scopus 로고
    • Digital phase-shifting interferometry: A simple error-compensating phase calculation algorithm
    • P. Hariharan, B. F. Oreb, and T. Eiju, "Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm," App. Opt. 26, 2504-2506 (1987).
    • (1987) App. Opt. , vol.26 , pp. 2504-2506
    • Hariharan, P.1    Oreb, B.F.2    Eiju, T.3
  • 9
    • 0027652424 scopus 로고
    • New compensating four-phase algorithm for phase-shift interferometry
    • J. Schwider, O. Falkenstorfer, H. Schreiber, and A. Zoller, "New compensating four-phase algorithm for phase-shift interferometry," Opt. Eng. 32, 1883-1885 (1993).
    • (1993) Opt. Eng. , vol.32 , pp. 1883-1885
    • Schwider, J.1    Falkenstorfer, O.2    Schreiber, H.3    Zoller, A.4
  • 10
    • 0027639231 scopus 로고
    • Phase stepping: A new self-calibrating algorithm
    • Y. Surrel, "Phase stepping: a new self-calibrating algorithm," Appl. Opt. 32, 3598-3600 (1993).
    • (1993) Appl. Opt. , vol.32 , pp. 3598-3600
    • Surrel, Y.1
  • 11
    • 0002128002 scopus 로고    scopus 로고
    • Design of algorithms for phase measurements by the use of phase stepping
    • Y. Surrel, "Design of algorithms for phase measurements by the use of phase stepping," Appl. Opt. 35, 5160 (1996).
    • (1996) Appl. Opt. , vol.35 , pp. 5160
    • Surrel, Y.1
  • 12
    • 84975597908 scopus 로고
    • Linear approximation for measurement errors in phase shifting interferometry
    • J. van Wingerden, H. J. Frankena, and C. Smorenburg, "Linear approximation for measurement errors in phase shifting interferometry," Appl. Opt. 30, 2718-2729 (1991).
    • (1991) Appl. Opt. , vol.30 , pp. 2718-2729
    • Van Wingerden, J.1    Frankena, H.J.2    Smorenburg, C.3
  • 13
    • 84893997835 scopus 로고
    • Design and assessment of symmetrical phase-shifting algorithms
    • K. G. Larkin and B. F. Oreb, "Design and assessment of symmetrical phase-shifting algorithms," J. Opt. Soc. Am. A 9, 1740-1748 (1992).
    • (1992) J. Opt. Soc. Am. A , vol.9 , pp. 1740-1748
    • Larkin, K.G.1    Oreb, B.F.2
  • 14
    • 0029288253 scopus 로고
    • Phase shifting for nonsinusoidal waveforms with phase-shift errors
    • K. Hibino, B. F. Oreb, D. I. Farrant, and K. G. Larkin, "Phase shifting for nonsinusoidal waveforms with phase-shift errors," J. Opt. Soc. Am. A12, 761-768 (1995).
    • (1995) J. Opt. Soc. Am. A , vol.12 , pp. 761-768
    • Hibino, K.1    Oreb, B.F.2    Farrant, D.I.3    Larkin, K.G.4
  • 15
    • 84975603082 scopus 로고
    • Phase-shifter calibration in phase-shifting interferometry
    • Y. -Y. Cheng and J. C. Wyant, "Phase-shifter calibration in phase-shifting interferometry," App. Opt. 24, 3049-3052 (1985).
    • (1985) App. Opt. , vol.24 , pp. 3049-3052
    • Cheng, Y.Y.1    Wyant, J.C.2
  • 16
    • 0031077211 scopus 로고    scopus 로고
    • A statistical method for fringe intensity-correlated error in phase-shifting measurement: The effect of quantization error on the N-bucket algorithm
    • B. Zhao, "A statistical method for fringe intensity-correlated error in phase-shifting measurement: the effect of quantization error on the N-bucket algorithm," Meas. Sci. Technol. 8, 147-153 (1997).
    • (1997) Meas. Sci. Technol. , vol.8 , pp. 147-153
    • Zhao, B.1
  • 17
    • 0001127753 scopus 로고    scopus 로고
    • Effect of quantization error on the computed phase of phase-shifting measurements
    • B. Zhao and Y. Surrel, "Effect of quantization error on the computed phase of phase-shifting measurements," Appl. Opt. 36, 2070-2075 (1997).
    • (1997) Appl. Opt. , vol.36 , pp. 2070-2075
    • Zhao, B.1    Surrel, Y.2
  • 18
    • 0001271272 scopus 로고
    • New contra old wavefront measurement concepts for interferometric optical testing
    • R. Józwicki, M. Kujawinska, and M. Salbut, "New contra old wavefront measurement concepts for interferometric optical testing, Opt. Engg. 31, 422-433 (1992).
    • (1992) Opt. Engg. , vol.31 , pp. 422-433
    • Józwicki, R.1    Kujawinska, M.2    Salbut, M.3
  • 19
    • 0029250206 scopus 로고
    • Vibration in phase-shifting interferometry
    • P. de Groot, "Vibration in phase-shifting interferometry," J. Opt Soc. Am. A 12, 354-365 (1995).
    • (1995) J. Opt Soc. Am. A , vol.12 , pp. 354-365
    • De Groot, P.1
  • 20
    • 0001670199 scopus 로고    scopus 로고
    • Numerical simulations of vibration in phase-shifting interferometry
    • P. de Groot and L. L. deck, "Numerical simulations of vibration in phase-shifting interferometry," App. Opt. 35, 2172-2178 (1996).
    • (1996) App. Opt. , vol.35 , pp. 2172-2178
    • De Groot, P.1    Deck, L.L.2
  • 21
    • 84975629124 scopus 로고
    • Statistical properties of phase-shift algorithms
    • C. Rathjen, "Statistical properties of phase-shift algorithms," J. Opt Soc. Am. A 12, 1997-2008 (1995).
    • (1995) J. Opt Soc. Am. A , vol.12 , pp. 1997-2008
    • Rathjen, C.1
  • 22
    • 84975609399 scopus 로고
    • Phase-shifting interferometry in the presence of vibration: A new algorithm and system
    • P. L. Wizinowich, "Phase-shifting interferometry in the presence of vibration: a new algorithm and system," Appl. Opt. 29, 3271-3279 (1990).
    • (1990) Appl. Opt. , vol.29 , pp. 3271-3279
    • Wizinowich, P.L.1
  • 23
    • 0039481038 scopus 로고
    • Phase measurement by differentiating interferometric fringes
    • C. Joenathan and B. M. Khorana, "Phase measurement by differentiating interferometric fringes, "J. Mod. Opt. 39, 2075-2087 (1992).
    • (1992) J. Mod. Opt. , vol.39 , pp. 2075-2087
    • Joenathan, C.1    Khorana, B.M.2
  • 25
    • 9144242394 scopus 로고
    • Phase shifting applied to four-wave holographic interferometers
    • P. K. Rastogi, "Phase shifting applied to four-wave holographic interferometers," App. Opt. 31, 1680-1681 (1992).
    • (1992) App. Opt. , vol.31 , pp. 1680-1681
    • Rastogi, P.K.1
  • 26
    • 9144259117 scopus 로고
    • Phase-shifting holographic moiré: Phase-shifter error-insensitive algorithms for the extraction of the difference and sum of phases in holographic moiré
    • P. K. Rastogi, "Phase-shifting holographic moiré: phase-shifter error-insensitive algorithms for the extraction of the difference and sum of phases in holographic moiré," App. Opt. 32, 3669-3675 (1993).
    • (1993) App. Opt. , vol.32 , pp. 3669-3675
    • Rastogi, P.K.1
  • 27
    • 9144243520 scopus 로고
    • Visualization of in-plane displacement fields using phase shifting holographic moiré: Application to crack detection and propagation
    • P. K. Rastogi and E. Denarié, "Visualization of in-plane displacement fields using phase shifting holographic moiré: application to crack detection and propagation," App. Opt. 31, 2402-2404 (1992).
    • (1992) App. Opt. , vol.31 , pp. 2402-2404
    • Rastogi, P.K.1    Denarié, E.2
  • 28
    • 84975635005 scopus 로고
    • Comparative phase shifting holographic interferometry
    • P. K. Rastogi, M. Barillot, and G. Kaufmann, "Comparative phase shifting holographic interferometry," Appl. Opt. 30, 722-728 (1991)
    • (1991) Appl. Opt. , vol.30 , pp. 722-728
    • Rastogi, P.K.1    Barillot, M.2    Kaufmann, G.3
  • 29
    • 84975635766 scopus 로고
    • Least squares estimation in phase-measurement interferometry
    • C. J. Morgan, "Least squares estimation in phase-measurement interferometry," Opt. Lett. 7, 368-370 (1982).
    • (1982) Opt. Lett. , vol.7 , pp. 368-370
    • Morgan, C.J.1
  • 30
    • 0019548964 scopus 로고
    • In-plane deformation measurement using holographic moiré
    • P. K. Rastogi, M. Spajer, and J. Monneret, "In-plane deformation measurement using holographic moiré," Opt. Lasers Eng. 2, 79-103 (1981).
    • (1981) Opt. Lasers Eng. , vol.2 , pp. 79-103
    • Rastogi, P.K.1    Spajer, M.2    Monneret, J.3
  • 31
    • 9144221561 scopus 로고    scopus 로고
    • An integral approach to phase shifting interferometry using a super-resolution frequency estimation method
    • A. Patil, R. Langoju, and P Rastogi, "An integral approach to phase shifting interferometry using a super-resolution frequency estimation method," Opt. Express 12, 4681-4697 (2004), http://www.orticsexpress.org/ abstractcfm?URI=OPEX-12-20-4681.
    • (2004) Opt. Express , vol.12 , pp. 4681-4697
    • Patil, A.1    Langoju, R.2    Rastogi, P.3
  • 33
    • 0022559462 scopus 로고
    • The statistical performance of the MUSIC and the Minimum-norm algorithms in resolving plane waves in noise
    • M. Kaveh and A. J, Barabell, "The statistical performance of the MUSIC and the Minimum-Norm algorithms in resolving plane waves in noise," IEEE Transactions on Acoustics, Speech, and Signal Processing ASSP-34, 331-341 (1986).
    • (1986) IEEE Transactions on Acoustics, Speech, and Signal Processing , vol.ASSP-34 , pp. 331-341
    • Kaveh, M.1    Barabell, A.J.2
  • 34
    • 0021468528 scopus 로고
    • Generalized data reduction for heterodyne interferometry
    • J. E. Grievenkamp, "Generalized data reduction for heterodyne interferometry," Opt. Eng. 23, 350-352 (1984).
    • (1984) Opt. Eng. , vol.23 , pp. 350-352
    • Grievenkamp, J.E.1
  • 35
    • 84975635766 scopus 로고
    • Least squares estimation in phase-measurement interferometry
    • C. J. Morgan, "Least squares estimation in phase-measurement interferometry," Opt. Lett. 7, 368-370 (1982).
    • (1982) Opt. Lett. , vol.7 , pp. 368-370
    • Morgan, C.J.1
  • 36
    • 0024702515 scopus 로고
    • ESPRIT-Estimation of signal parameters via rotational invariance techniques
    • R. Roy and T. Kailath, "ESPRIT-Estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoustics, Speech, and Signal Processing 37, 984-995 (1989).
    • (1989) IEEE Trans. Acoustics, Speech, and Signal Processing , vol.37 , pp. 984-995
    • Roy, R.1    Kailath, T.2
  • 37
    • 0000624015 scopus 로고
    • Multiple emitter location and signal parameter estimation
    • Rome, NY
    • R. O. Schmidt, "Multiple emitter location and signal parameter estimation," in Proceedings RADC, Spectral Estimation Workshop, Rome, NY, (243-258) 1979.
    • (1979) Proceedings RADC, Spectral Estimation Workshop , pp. 243-258
    • Schmidt, R.O.1
  • 39
    • 0027540741 scopus 로고
    • Accuracy of high-order Yule-Walker methods for frequency estimation of complex sine waves
    • T. Söderström and P. Stoica, "Accuracy of high-order Yule-Walker methods for frequency estimation of complex sine waves," IEEE Proceedings-F 140, 71-80 (1993).
    • (1993) IEEE Proceedings-F , vol.140 , pp. 71-80
    • Söderström, T.1    Stoica, P.2
  • 42
    • 0027541323 scopus 로고
    • Weighted subspace methods and spatial smoothing: Analysis and comparison
    • B. D. Rao and K. V. S. Hari, "Weighted subspace methods and spatial smoothing: analysis and comparison", IEEE Trans. Signal Processing 41, 788-803 (1993).
    • (1993) IEEE Trans. Signal Processing , vol.41 , pp. 788-803
    • Rao, B.D.1    Hari, K.V.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.