Multiple phase estimation in digital holographic interferometry using product cubic phase function

Digital holographic interferometry (DHI) involves multi-directional illumination of an object to measure the in-plane and out-of plane displacements simultaneously. This results in multiple interference phases which have to be reliably estimated. The paper proposes a method where the interference fi...

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Published inOptics and lasers in engineering Vol. 51; no. 10; pp. 1168 - 1172
Main Authors Kulkarni, Rishikesh, Rastogi, Pramod
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2013
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Online AccessGet full text
ISSN0143-8166
1873-0302
1873-0302
DOI10.1016/j.optlaseng.2013.04.004

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Abstract Digital holographic interferometry (DHI) involves multi-directional illumination of an object to measure the in-plane and out-of plane displacements simultaneously. This results in multiple interference phases which have to be reliably estimated. The paper proposes a method where the interference field is represented as sum of multicomponent quadratic phase signal. Subsequently, product cubic phase function (PCPF) is used to estimate the quadratic coefficients. Using these coefficients multiple interference phases are estimated. The applicability of this method in DHI is demonstrated with simulation results. •In DHI, interference field is modeled as multicomponent quadratic phase signal.•The quadratic coefficient estimation is obtained using product cubic phase function.•Multiple interference phase estimation is obtained using a single fringe pattern.
AbstractList Digital holographic interferometry (DHI) involves multi-directional illumination of an object to measure the in-plane and out-of plane displacements simultaneously. This results in multiple interference phases which have to be reliably estimated. The paper proposes a method where the interference field is represented as sum of multicomponent quadratic phase signal. Subsequently, product cubic phase function (PCPF) is used to estimate the quadratic coefficients. Using these coefficients multiple interference phases are estimated. The applicability of this method in DHI is demonstrated with simulation results.
Digital holographic interferometry (DHI) involves multi-directional illumination of an object to measure the in-plane and out-of plane displacements simultaneously. This results in multiple interference phases which have to be reliably estimated. The paper proposes a method where the interference field is represented as sum of multicomponent quadratic phase signal. Subsequently, product cubic phase function (PCPF) is used to estimate the quadratic coefficients. Using these coefficients multiple interference phases are estimated. The applicability of this method in DHI is demonstrated with simulation results. •In DHI, interference field is modeled as multicomponent quadratic phase signal.•The quadratic coefficient estimation is obtained using product cubic phase function.•Multiple interference phase estimation is obtained using a single fringe pattern.
Author Kulkarni, Rishikesh
Rastogi, Pramod
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Cites_doi 10.1016/j.optlaseng.2012.01.001
10.1088/1464-4258/11/6/065405
10.1364/AO.38.007056
10.1364/AO.51.005869
10.1016/S0030-3992(97)00004-2
10.1364/JOSA.72.000156
10.4028/www.scientific.net/AMM.3-4.223
10.1109/TSP.2003.821097
10.1364/AO.50.004189
10.1364/AO.42.001947
10.1364/AO.36.000786
10.1364/AO.50.000H16
10.1016/j.dsp.2006.09.002
10.1364/AO.36.004540
10.1111/j.1475-1305.2008.00423.x
10.1109/TSP.2005.843719
10.1016/j.optlaseng.2012.04.006
10.1364/OL.37.004278
10.1364/OE.20.001281
10.1364/AO.49.004004
10.1364/OL.24.000905
10.1063/1.3186646
10.1016/j.optlaseng.2005.10.012
10.1109/TSP.2006.882085
10.1364/OE.18.019867
10.1016/0263-2241(95)00009-A
10.1364/OL.33.000276
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Keywords Digital holographic interferometry
Simultaneous measurement using single frame
Product cubic phase function
In-plane and out-of plane displacement
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References Okazawa, Fujigaki, Morimoto, Matui (bib14) 2005; 3–4
O'Shea (bib25) 2004; 52
Servin, Marroquin, Cuevas (bib6) 1997; 36
Rajshekhar, SivaGorthi, Rastogi (bib22) 2011; 50
Pedrini, Tiziani (bib18) 1995; 15
Rajshekhar, Gorthi, Rastogi (bib23) 2012; 20
Morimoto, Matui, Fujigaki, Matsui (bib15) 2008; 44
Pedrini, Tiziani (bib19) 1997; 29
Rajshekhar, Rastogi (bib10) 2012; 51
Picart, Mounier, Desse (bib12) 2008; 33
Kohler, Viotti, Albertazzi (bib21) 2010; 49
Gorthi, Rastogi (bib7) 2009; 11
Takeda, Ina, Kobayashi (bib2) 1982; 72
Pedrini, Zou, Tiziani (bib16) 1997; 36
Wang, Yang (bib24) 2006; 16
Watkins (bib5) 2012; 50
Pham, Zoubir (bib27) 2007; 55
Picart, Moisson, Mounier (bib17) 2003; 42
Rajshekhar, Gorthi, Rastogi (bib13) 2011; 50
Rajshekhar, Rastogi (bib1) 2012; 50
Gorthi, Rastogi (bib8) 2009; 80
Aboutanios, Mulgrew (bib26) 2005; 53
Saucedo-A, De La Torre-Ibarra, Mendoza Santoyo, Moreno (bib11) 2010; 18
Schedin, Pedrini, Tiziani, Mendoza Santoyo (bib20) 1999; 38
Rajshekhar, Rastogi (bib9) 2012; 37
Kemao (bib3) 2007; 45
Watkins, Tan, Barnes (bib4) 1999; 24
Servin (10.1016/j.optlaseng.2013.04.004_bib6) 1997; 36
O'Shea (10.1016/j.optlaseng.2013.04.004_bib25) 2004; 52
Watkins (10.1016/j.optlaseng.2013.04.004_bib4) 1999; 24
Picart (10.1016/j.optlaseng.2013.04.004_bib12) 2008; 33
Okazawa (10.1016/j.optlaseng.2013.04.004_bib14) 2005; 3–4
Pedrini (10.1016/j.optlaseng.2013.04.004_bib18) 1995; 15
Kohler (10.1016/j.optlaseng.2013.04.004_bib21) 2010; 49
Pedrini (10.1016/j.optlaseng.2013.04.004_bib19) 1997; 29
Wang (10.1016/j.optlaseng.2013.04.004_bib24) 2006; 16
Kemao (10.1016/j.optlaseng.2013.04.004_bib3) 2007; 45
Rajshekhar (10.1016/j.optlaseng.2013.04.004_bib10) 2012; 51
Rajshekhar (10.1016/j.optlaseng.2013.04.004_bib9) 2012; 37
Schedin (10.1016/j.optlaseng.2013.04.004_bib20) 1999; 38
Aboutanios (10.1016/j.optlaseng.2013.04.004_bib26) 2005; 53
Gorthi (10.1016/j.optlaseng.2013.04.004_bib8) 2009; 80
Rajshekhar (10.1016/j.optlaseng.2013.04.004_bib22) 2011; 50
Pham (10.1016/j.optlaseng.2013.04.004_bib27) 2007; 55
Takeda (10.1016/j.optlaseng.2013.04.004_bib2) 1982; 72
Gorthi (10.1016/j.optlaseng.2013.04.004_bib7) 2009; 11
Morimoto (10.1016/j.optlaseng.2013.04.004_bib15) 2008; 44
Rajshekhar (10.1016/j.optlaseng.2013.04.004_bib23) 2012; 20
Pedrini (10.1016/j.optlaseng.2013.04.004_bib16) 1997; 36
Picart (10.1016/j.optlaseng.2013.04.004_bib17) 2003; 42
Rajshekhar (10.1016/j.optlaseng.2013.04.004_bib1) 2012; 50
Rajshekhar (10.1016/j.optlaseng.2013.04.004_bib13) 2011; 50
Watkins (10.1016/j.optlaseng.2013.04.004_bib5) 2012; 50
Saucedo-A (10.1016/j.optlaseng.2013.04.004_bib11) 2010; 18
References_xml – volume: 44
  start-page: 49
  year: 2008
  end-page: 56
  ident: bib15
  article-title: Three-dimensional displacement analysis by windowed phase-shifting digital holographic interferometry
  publication-title: Strain
– volume: 38
  start-page: 7056
  year: 1999
  end-page: 7062
  ident: bib20
  article-title: Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography
  publication-title: Appl Opt
– volume: 11
  year: 2009
  ident: bib7
  article-title: Piecewise polynomial phase approximation approach for the analysis of reconstructed interference fields in digital holographic interferometry
  publication-title: J Opt A
– volume: 72
  start-page: 156
  year: 1982
  end-page: 160
  ident: bib2
  article-title: Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
  publication-title: J Opt Soc Am
– volume: 42
  start-page: 1947
  year: 2003
  end-page: 1957
  ident: bib17
  article-title: Twin-sensitivity measurement by spatial multiplexing of digitally recorded holograms
  publication-title: Appl Opt
– volume: 24
  start-page: 905
  year: 1999
  end-page: 907
  ident: bib4
  article-title: Determination of interferometer phase distributions by use of wavelets
  publication-title: Opt Lett
– volume: 36
  start-page: 786
  year: 1997
  end-page: 792
  ident: bib16
  article-title: Simultaneous quantitative evaluation of in-plane and out-of-plane deformations by use of a multidirectional spatial carrier
  publication-title: Appl Opt
– volume: 50
  start-page: 1015
  year: 2012
  end-page: 1022
  ident: bib5
  article-title: Review of fringe pattern phase recovery using the 1-d and 2-d continuous wavelet transforms
  publication-title: Opt Lasers Eng
– volume: 50
  start-page: H16
  year: 2011
  end-page: H21
  ident: bib13
  article-title: Simultaneous measurement of in-plane and out-of-plane displacement derivatives using dual-wavelength digital holographic interferometry
  publication-title: Appl Opt
– volume: 37
  start-page: 4278
  year: 2012
  end-page: 4280
  ident: bib9
  article-title: Fringe demodulation using the two-dimensional phase differencing operator
  publication-title: Opt Lett
– volume: 51
  start-page: 5869
  year: 2012
  end-page: 5875
  ident: bib10
  article-title: Multiple signal classification technique for phase estimation from a fringe pattern
  publication-title: Appl Opt
– volume: 16
  start-page: 654
  year: 2006
  end-page: 669
  ident: bib24
  article-title: Multicomponent chirp signals analysis using product cubic phase function
  publication-title: Digital Signal Process
– volume: 50
  start-page: iii
  year: 2012
  end-page: x
  ident: bib1
  article-title: Fringe analysis
  publication-title: Opt Lasers Eng
– volume: 36
  start-page: 4540
  year: 1997
  end-page: 4548
  ident: bib6
  article-title: Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique
  publication-title: Appl Opt
– volume: 15
  start-page: 251
  year: 1995
  end-page: 260
  ident: bib18
  article-title: Digital double-pulse holographic interferometry using fresnel and image plane holograms
  publication-title: Measurement
– volume: 18
  start-page: 19867
  year: 2010
  end-page: 19875
  ident: bib11
  article-title: Digital holographic interferometer using simultaneously three lasers and a single monochrome sensor for 3d displacement measurements
  publication-title: Opt Express
– volume: 33
  start-page: 276
  year: 2008
  end-page: 278
  ident: bib12
  article-title: High-resolution digital two-color holographic metrology
  publication-title: Opt Lett
– volume: 53
  start-page: 1237
  year: 2005
  end-page: 1242
  ident: bib26
  article-title: Iterative frequency estimation by interpolation on Fourier coefficients
  publication-title: IEEE Trans Signal Process
– volume: 29
  start-page: 249
  year: 1997
  end-page: 256
  ident: bib19
  article-title: Quantitative evaluation of two-dimensional dynamic deformations using digital holography
  publication-title: Opt Laser Technol
– volume: 45
  start-page: 304
  year: 2007
  end-page: 317
  ident: bib3
  article-title: Two-dimensional windowed Fourier transform for fringe pattern analysis
  publication-title: Opt Lasers Eng
– volume: 3–4
  start-page: 223
  year: 2005
  end-page: 228
  ident: bib14
  article-title: Simultaneous measurement of out-of-plane and in-plane displacements by phase-shifting digital holographic interferometry
  publication-title: Appl Mech Mater
– volume: 80
  year: 2009
  ident: bib8
  article-title: Windowed high-order ambiguity function method for fringe analysis
  publication-title: Rev Sci Instrum
– volume: 50
  start-page: 4189
  year: 2011
  end-page: 4197
  ident: bib22
  article-title: Simultaneous multidimensional deformation measurements using digital holographic moiré
  publication-title: Appl Opt
– volume: 20
  start-page: 1281
  year: 2012
  end-page: 1291
  ident: bib23
  article-title: Estimation of multiple phases from a single fringe pattern in digital holographic interferometry
  publication-title: Opt Express
– volume: 55
  start-page: 56
  year: 2007
  end-page: 65
  ident: bib27
  article-title: Analysis of multicomponent polynomial phase signals
  publication-title: IEEE Trans Signal Process
– volume: 49
  start-page: 4004
  year: 2010
  end-page: 4009
  ident: bib21
  article-title: Measurement of three-dimensional deformations using digital holography with radial sensitivity
  publication-title: Appl Opt
– volume: 52
  start-page: 385
  year: 2004
  end-page: 393
  ident: bib25
  article-title: A fast algorithm for estimating the parameters of a quadratic fm signal
  publication-title: IEEE Trans Signal Process
– volume: 50
  start-page: 1015
  issue: 8
  year: 2012
  ident: 10.1016/j.optlaseng.2013.04.004_bib5
  article-title: Review of fringe pattern phase recovery using the 1-d and 2-d continuous wavelet transforms
  publication-title: Opt Lasers Eng
  doi: 10.1016/j.optlaseng.2012.01.001
– volume: 11
  issue: 6
  year: 2009
  ident: 10.1016/j.optlaseng.2013.04.004_bib7
  article-title: Piecewise polynomial phase approximation approach for the analysis of reconstructed interference fields in digital holographic interferometry
  publication-title: J Opt A
  doi: 10.1088/1464-4258/11/6/065405
– volume: 38
  start-page: 7056
  issue: 34
  year: 1999
  ident: 10.1016/j.optlaseng.2013.04.004_bib20
  article-title: Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography
  publication-title: Appl Opt
  doi: 10.1364/AO.38.007056
– volume: 51
  start-page: 5869
  issue: 24
  year: 2012
  ident: 10.1016/j.optlaseng.2013.04.004_bib10
  article-title: Multiple signal classification technique for phase estimation from a fringe pattern
  publication-title: Appl Opt
  doi: 10.1364/AO.51.005869
– volume: 29
  start-page: 249
  issue: 5
  year: 1997
  ident: 10.1016/j.optlaseng.2013.04.004_bib19
  article-title: Quantitative evaluation of two-dimensional dynamic deformations using digital holography
  publication-title: Opt Laser Technol
  doi: 10.1016/S0030-3992(97)00004-2
– volume: 72
  start-page: 156
  issue: 1
  year: 1982
  ident: 10.1016/j.optlaseng.2013.04.004_bib2
  article-title: Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
  publication-title: J Opt Soc Am
  doi: 10.1364/JOSA.72.000156
– volume: 3–4
  start-page: 223
  year: 2005
  ident: 10.1016/j.optlaseng.2013.04.004_bib14
  article-title: Simultaneous measurement of out-of-plane and in-plane displacements by phase-shifting digital holographic interferometry
  publication-title: Appl Mech Mater
  doi: 10.4028/www.scientific.net/AMM.3-4.223
– volume: 52
  start-page: 385
  issue: 2
  year: 2004
  ident: 10.1016/j.optlaseng.2013.04.004_bib25
  article-title: A fast algorithm for estimating the parameters of a quadratic fm signal
  publication-title: IEEE Trans Signal Process
  doi: 10.1109/TSP.2003.821097
– volume: 50
  start-page: 4189
  issue: 21
  year: 2011
  ident: 10.1016/j.optlaseng.2013.04.004_bib22
  article-title: Simultaneous multidimensional deformation measurements using digital holographic moiré
  publication-title: Appl Opt
  doi: 10.1364/AO.50.004189
– volume: 42
  start-page: 1947
  issue: 11
  year: 2003
  ident: 10.1016/j.optlaseng.2013.04.004_bib17
  article-title: Twin-sensitivity measurement by spatial multiplexing of digitally recorded holograms
  publication-title: Appl Opt
  doi: 10.1364/AO.42.001947
– volume: 36
  start-page: 786
  issue: 4
  year: 1997
  ident: 10.1016/j.optlaseng.2013.04.004_bib16
  article-title: Simultaneous quantitative evaluation of in-plane and out-of-plane deformations by use of a multidirectional spatial carrier
  publication-title: Appl Opt
  doi: 10.1364/AO.36.000786
– volume: 50
  start-page: H16
  issue: 34
  year: 2011
  ident: 10.1016/j.optlaseng.2013.04.004_bib13
  article-title: Simultaneous measurement of in-plane and out-of-plane displacement derivatives using dual-wavelength digital holographic interferometry
  publication-title: Appl Opt
  doi: 10.1364/AO.50.000H16
– volume: 16
  start-page: 654
  issue: 6
  year: 2006
  ident: 10.1016/j.optlaseng.2013.04.004_bib24
  article-title: Multicomponent chirp signals analysis using product cubic phase function
  publication-title: Digital Signal Process
  doi: 10.1016/j.dsp.2006.09.002
– volume: 36
  start-page: 4540
  issue: 19
  year: 1997
  ident: 10.1016/j.optlaseng.2013.04.004_bib6
  article-title: Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique
  publication-title: Appl Opt
  doi: 10.1364/AO.36.004540
– volume: 44
  start-page: 49
  issue: 1
  year: 2008
  ident: 10.1016/j.optlaseng.2013.04.004_bib15
  article-title: Three-dimensional displacement analysis by windowed phase-shifting digital holographic interferometry
  publication-title: Strain
  doi: 10.1111/j.1475-1305.2008.00423.x
– volume: 53
  start-page: 1237
  issue: 4
  year: 2005
  ident: 10.1016/j.optlaseng.2013.04.004_bib26
  article-title: Iterative frequency estimation by interpolation on Fourier coefficients
  publication-title: IEEE Trans Signal Process
  doi: 10.1109/TSP.2005.843719
– volume: 50
  start-page: iii
  issue: 8
  year: 2012
  ident: 10.1016/j.optlaseng.2013.04.004_bib1
  article-title: Fringe analysis
  publication-title: Opt Lasers Eng
  doi: 10.1016/j.optlaseng.2012.04.006
– volume: 37
  start-page: 4278
  issue: 20
  year: 2012
  ident: 10.1016/j.optlaseng.2013.04.004_bib9
  article-title: Fringe demodulation using the two-dimensional phase differencing operator
  publication-title: Opt Lett
  doi: 10.1364/OL.37.004278
– volume: 20
  start-page: 1281
  issue: 2
  year: 2012
  ident: 10.1016/j.optlaseng.2013.04.004_bib23
  article-title: Estimation of multiple phases from a single fringe pattern in digital holographic interferometry
  publication-title: Opt Express
  doi: 10.1364/OE.20.001281
– volume: 49
  start-page: 4004
  issue: 20
  year: 2010
  ident: 10.1016/j.optlaseng.2013.04.004_bib21
  article-title: Measurement of three-dimensional deformations using digital holography with radial sensitivity
  publication-title: Appl Opt
  doi: 10.1364/AO.49.004004
– volume: 24
  start-page: 905
  issue: 13
  year: 1999
  ident: 10.1016/j.optlaseng.2013.04.004_bib4
  article-title: Determination of interferometer phase distributions by use of wavelets
  publication-title: Opt Lett
  doi: 10.1364/OL.24.000905
– volume: 80
  issue: 7
  year: 2009
  ident: 10.1016/j.optlaseng.2013.04.004_bib8
  article-title: Windowed high-order ambiguity function method for fringe analysis
  publication-title: Rev Sci Instrum
  doi: 10.1063/1.3186646
– volume: 45
  start-page: 304
  issue: 2
  year: 2007
  ident: 10.1016/j.optlaseng.2013.04.004_bib3
  article-title: Two-dimensional windowed Fourier transform for fringe pattern analysis
  publication-title: Opt Lasers Eng
  doi: 10.1016/j.optlaseng.2005.10.012
– volume: 55
  start-page: 56
  issue: 1
  year: 2007
  ident: 10.1016/j.optlaseng.2013.04.004_bib27
  article-title: Analysis of multicomponent polynomial phase signals
  publication-title: IEEE Trans Signal Process
  doi: 10.1109/TSP.2006.882085
– volume: 18
  start-page: 19867
  issue: 19
  year: 2010
  ident: 10.1016/j.optlaseng.2013.04.004_bib11
  article-title: Digital holographic interferometer using simultaneously three lasers and a single monochrome sensor for 3d displacement measurements
  publication-title: Opt Express
  doi: 10.1364/OE.18.019867
– volume: 15
  start-page: 251
  issue: 4
  year: 1995
  ident: 10.1016/j.optlaseng.2013.04.004_bib18
  article-title: Digital double-pulse holographic interferometry using fresnel and image plane holograms
  publication-title: Measurement
  doi: 10.1016/0263-2241(95)00009-A
– volume: 33
  start-page: 276
  issue: 3
  year: 2008
  ident: 10.1016/j.optlaseng.2013.04.004_bib12
  article-title: High-resolution digital two-color holographic metrology
  publication-title: Opt Lett
  doi: 10.1364/OL.33.000276
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Snippet Digital holographic interferometry (DHI) involves multi-directional illumination of an object to measure the in-plane and out-of plane displacements...
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SubjectTerms Digital
Digital holographic interferometry
Estimates
Holographic interferometry
Illumination
In-plane and out-of plane displacement
Interference
Lasers
Planes
Product cubic phase function
Simulation
Simultaneous measurement using single frame
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Title Multiple phase estimation in digital holographic interferometry using product cubic phase function
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