Simultaneous two-wavelength Doppler phase-shifting digital holography

Barada, Daisuke; Kiire, Tomohiro; Sugisaka, Jun-ichiro; Kawata, Shigeo; Yatagai, Toyohiko

doi:10.1364/ao.50.00h237

Cited by 44 publications

(22 citation statements)

References 20 publications

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“…However, holographic techniques make it possible to record multiwavelength/ color information using a monochromatic image sensor and to reconstruct it from wavelengthmultiplexed image(s). In holography, multiple wavelength information is obtained also by utilizing temporal frequency-division multiplexing (Figure 1(f)) [30,31] and spatial frequency-division multiplexing (Figure 1(g)) [32,33]. In these techniques, Fourier and inverse Fourier transforms are required to separate wavelength information.…”

Section: Introductionmentioning

confidence: 99%

Multiwavelength Digital Holography and Phase-Shifting Interferometry Selectively Extracting Wavelength Information: Phase-Division Multiplexing (PDM) of Wavelengths

Tahara¹,

Otani²,

Arai³

et al. 2017

Holographic Materials and Optical Systems

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In this chapter, we introduce multiwavelength digital holographic techniques and a novel multiwavelength imaging technique. General multiwavelength imaging systems adopt temporal division, spatial division, or space-division multiplexing to obtain wavelength information. Holographic techniques give us unique multiwavelength imaging systems, which utilize temporal or spatial frequency-division multiplexing. Conventional multiwavelength digital holography systems have been combined with one of the methods listed above. We have proposed phase-shifting interferometry selectively extracting wavelength information, characterized as a multiwavelength threedimensional (3D) imaging technique based on holography and called phase-division multiplexing (PDM) of multiple wavelengths. In PDM, wavelength-multiplexed phaseshifted holograms are recorded, and multiwavelength information is separately extracted from the holograms in the space domain. Phase shifts are introduced for respective wavelengths to separate object waves with multiple wavelengths in the polar coordinate plane, and multiple object waves are selectively extracted by the signal processing based on phase-shifting interferometry. Additionally, the system of equations needed to obtain a multiwavelength 3D image is solved with less wavelengthmultiplexed images using two-step phase-shifting interferometry-merged phase-division multiplexing (2π-PDM), which makes the best use of 2π ambiguity of the phase and two-step phase-shifting method. The PDM techniques are reviewed and color 3D imaging ability is described with numerical and experimental results.

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Section: Introductionmentioning

confidence: 99%

Multiwavelength Digital Holography and Phase-Shifting Interferometry Selectively Extracting Wavelength Information: Phase-Division Multiplexing (PDM) of Wavelengths

Tahara¹,

Otani²,

Arai³

et al. 2017

Holographic Materials and Optical Systems

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“…Even though Abdelsalam et al give working PSA formulas they do not estimate their spectra, their signal-to noise ratio, or their detuning and harmonics robustness. Kumar [15] and Baranda [16] also provided valid temporal PSA formulas but also failed to characterize their PSAs in terms of signal-to-noise, detuning and harmonic rejection. Another different approach was followed by Kulkarni and Rastogi [16] in which they have demodulated the two interesting phases by fitting a low-order polynomial to each phase.…”

Section: Introductionmentioning

confidence: 99%

“…Kumar [15] and Baranda [16] also provided valid temporal PSA formulas but also failed to characterize their PSAs in terms of signal-to-noise, detuning and harmonic rejection. Another different approach was followed by Kulkarni and Rastogi [16] in which they have demodulated the two interesting phases by fitting a low-order polynomial to each phase. Their approach [17] worked well for the example provided but we think their method could easily cross-talk between fitted polynomials for complicated modulating phases [17].…”

Section: Introductionmentioning

confidence: 99%

“…Even though Zhang [19] could demodulate the two phases, they used 32 phase-shifted temporal interferograms. All these works on temporal DW-PSA [2][3][4][5][14][15][16][17][18][19] have given just specific DW-PSAs without explicit formulae for their spectra, signal-to-noise, detuning and harmonic robustness.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast to previous ad-hoc temporal DW-PSA formulas, here we give a general theory for synthesizing DW-PSAs formalizing their spectrum, their signal-to-noise, and their detuning-harmonic robustness. At the risk of being repetitive, we emphasize that we are not just giving particular DW-PSAs formulas as previously done [2][3][4][5][14][15][16][17][18][19]. Here we are giving a general FTF-theory for synthesizing DW-PSA giving with explicit formulae for the most important characteristics of any PSA: spectra, signal-to-noise, detuning and harmonic robustness.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Synthesis of multi-wavelength temporal phase-shifting algorithms optimized for high signal-to-noise ratio and high detuning robustness using the frequency transfer function

2016

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Synthesis of single-wavelength temporal phase-shifting algorithms (PSA) for interferometry is well-known and firmly based on the frequency transfer function (FTF) paradigm. Here we extend the single-wavelength FTF-theory to dual and multi-wavelength PSA-synthesis when several simultaneous laser-colors are present. The FTF-based synthesis for dual-wavelength (DW) PSA is optimized for high signal-to-noise ratio and minimum number of temporal phase-shifted interferograms. The DW-PSA synthesis herein presented may be used for interferometric contouring of discontinuous industrial objects. Also DW-PSA may be useful for DW shop-testing of deep free-form aspheres. As shown here, using the FTF-based synthesis one may easily find explicit DW-PSA formulae optimized for high signal-to-noise and high detuning robustness. To this date, no general synthesis and analysis for temporal DW-PSAs has been given; only ad hoc DW-PSAs formulas have been reported. Consequently, no explicit formulae for their spectra, their signal-to-noise, their detuning and harmonic robustness has been given. Here for the first time a fully general procedure for designing DW-PSAs (or triple-wavelengths PSAs) with desire spectrum, signal-to-noise ratio and detuning robustness is given. We finally generalize DW-PSA to higher number of wavelength temporal PSAs.

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Multi-wavelength Doppler Phase Shift Holography and Interferometry

Yatagai

2014

Fringe 2013

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Simultaneous two-wavelength Doppler phase-shifting digital holography

Cited by 44 publications

References 20 publications

Multiwavelength Digital Holography and Phase-Shifting Interferometry Selectively Extracting Wavelength Information: Phase-Division Multiplexing (PDM) of Wavelengths

Multiwavelength Digital Holography and Phase-Shifting Interferometry Selectively Extracting Wavelength Information: Phase-Division Multiplexing (PDM) of Wavelengths

Synthesis of multi-wavelength temporal phase-shifting algorithms optimized for high signal-to-noise ratio and high detuning robustness using the frequency transfer function

Multi-wavelength Doppler Phase Shift Holography and Interferometry

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