Abstract

In optical scanning holography, one pupil produces a spherical wave and another produces a plane wave. They interfere with each other and result in a fringe pattern for scanning a three-dimensional object. The resolution of the hologram reconstruction is affected by the point spread function (PSF) of the optical system. In this paper, we modulate the PSF by a spiral phase plate, which significantly enhances the lateral and depth resolution. We explain the theory for such resolution enhancement and show simulation results to verify the efficacy of the approach.

© 2015 Chinese Laser Press

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References

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  1. T.-C. Poon, Optical Scanning Holography with MATLAB (Springer, 2007).
  2. E. Y. Lam, X. Zhang, H. Vo, T. C. Poon, and G. Indebetouw, “Three-dimensional microscopy and sectional image reconstruction using optical scanning holography,” Appl. Opt. 48, H113–H119 (2009).
    [Crossref]
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    [Crossref]
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    [Crossref]
  5. H. Ou, H. Pan, E. Y. Lam, and B.-Z. Wang, “Defocus noise suppression with combined frame difference and connected component methods in optical scanning holography,” Opt. Lett. 40, 4146–4149 (2015).
    [Crossref]
  6. L.-Z. Zhang, J.-P. Hu, D.-M. Wan, X. Zeng, C. M. Li, and X. Zhou, “Innovative measurement of parallelism for parallel transparent plate based on optical scanning holography by using a random-phase pupil,” Appl. Opt. 54, 2483–2488 (2015).
    [Crossref]
  7. E. Y. Lam, “Computational sectioning and resolution enhancement in optical scanning holography,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2014), paper DTu2B.1.
  8. G. Indebetouw, Y. Tada, J. Rosen, and G. Brooker, “Scanning holographic microscopy with resolution exceeding the Rayleigh limit of the objective by superposition of off-axis holograms,” Appl. Opt. 46, 993–1000 (2007).
    [Crossref]
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    [Crossref]
  10. H. Ou, T.-C. Poon, K. K. Y. Wong, and E. Y. Lam, “Depth resolution enhancement in double-detection optical scanning holography,” Appl. Opt. 52, 3079–3087 (2013).
    [Crossref]
  11. H. Ou, T.-C. Poon, K. K. Y. Wong, and E. Y. Lam, “Enhanced depth resolution in optical scanning holography using a configurable pupil,” Photon. Res. 2, 64–70 (2014).
    [Crossref]
  12. G. Indebetouw, A. E. Maghnouji, and R. Foster, “Scanning holographic microscopy with transverse resolution exceeding the Rayleigh limit and extended depth of focus,” J. Opt. Soc. Am. A 22, 892–898 (2005).
    [Crossref]
  13. G. Indebetouw, W. Zhong, and D. Chamberlin-Long, “Point-spread function synthesis in scanning holographic microscopy,” J. Opt. Soc. Am. A 23, 1708–1717 (2006).
    [Crossref]
  14. T.-C. Poon and K. B. Doh, “On the theory of optical Hilbert transform for incoherent objects,” Opt. Express 15, 3006–3011 (2007).
    [Crossref]
  15. D. P. Ghai, P. Senthilkumaran, and R. Sirohi, “Single-slit diffraction of an optical beam with phase singularity,” Opt. Lasers Eng. 47, 123–126 (2009).
    [Crossref]
  16. J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chvez-Cerda, “Unveiling a truncated optical lattice associated with a triangular aperture using lights orbital angular momentum,” Phys. Rev. Lett. 105, 053904 (2010).
    [Crossref]
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    [Crossref]
  19. N. Chen, Z. Ren, A. Chan, X. Sun, and E. Y. Lam, “Depth enhancement of optical scanning holography with a spiral phase plate,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2015), paper DW2A.3.
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    [Crossref]

2015 (4)

2014 (3)

2013 (1)

2011 (1)

2010 (1)

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chvez-Cerda, “Unveiling a truncated optical lattice associated with a triangular aperture using lights orbital angular momentum,” Phys. Rev. Lett. 105, 053904 (2010).
[Crossref]

2009 (2)

E. Y. Lam, X. Zhang, H. Vo, T. C. Poon, and G. Indebetouw, “Three-dimensional microscopy and sectional image reconstruction using optical scanning holography,” Appl. Opt. 48, H113–H119 (2009).
[Crossref]

D. P. Ghai, P. Senthilkumaran, and R. Sirohi, “Single-slit diffraction of an optical beam with phase singularity,” Opt. Lasers Eng. 47, 123–126 (2009).
[Crossref]

2008 (1)

2007 (2)

2006 (2)

2005 (1)

2000 (2)

Ambuj, A.

Brooker, G.

Campos, J.

Chamberlin-Long, D.

Chan, A.

N. Chen, Z. Ren, A. Chan, X. Sun, and E. Y. Lam, “Depth enhancement of optical scanning holography with a spiral phase plate,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2015), paper DW2A.3.

Chen, N.

N. Chen, Z. Ren, A. Chan, X. Sun, and E. Y. Lam, “Depth enhancement of optical scanning holography with a spiral phase plate,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2015), paper DW2A.3.

Chvez-Cerda, S.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chvez-Cerda, “Unveiling a truncated optical lattice associated with a triangular aperture using lights orbital angular momentum,” Phys. Rev. Lett. 105, 053904 (2010).
[Crossref]

Cottrell, D. M.

Davis, J. A.

Ding, J.

Dobson, K.

Doh, K. B.

Fonseca, E. J. S.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chvez-Cerda, “Unveiling a truncated optical lattice associated with a triangular aperture using lights orbital angular momentum,” Phys. Rev. Lett. 105, 053904 (2010).
[Crossref]

Foster, R.

Ghai, D. P.

D. P. Ghai, P. Senthilkumaran, and R. Sirohi, “Single-slit diffraction of an optical beam with phase singularity,” Opt. Lasers Eng. 47, 123–126 (2009).
[Crossref]

Guo, C.-S.

Han, Y.-J.

Hickmann, J. M.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chvez-Cerda, “Unveiling a truncated optical lattice associated with a triangular aperture using lights orbital angular momentum,” Phys. Rev. Lett. 105, 053904 (2010).
[Crossref]

Hu, J.-P.

Indebetouw, G.

Jia, W.

Ke, J.

Kim, T.

Klysubun, P.

Lam, E. Y.

H. Ou, H. Pan, E. Y. Lam, and B.-Z. Wang, “Defocus noise suppression with combined frame difference and connected component methods in optical scanning holography,” Opt. Lett. 40, 4146–4149 (2015).
[Crossref]

H. Ou, T.-C. Poon, K. K. Y. Wong, and E. Y. Lam, “Enhanced depth resolution in optical scanning holography using a configurable pupil,” Photon. Res. 2, 64–70 (2014).
[Crossref]

H. Ou, T.-C. Poon, K. K. Y. Wong, and E. Y. Lam, “Depth resolution enhancement in double-detection optical scanning holography,” Appl. Opt. 52, 3079–3087 (2013).
[Crossref]

J. Ke, T.-C. Poon, and E. Y. Lam, “Depth resolution enhancement in optical scanning holography with a dual-wavelength laser source,” Appl. Opt. 50, H285–H296 (2011).
[Crossref]

E. Y. Lam, X. Zhang, H. Vo, T. C. Poon, and G. Indebetouw, “Three-dimensional microscopy and sectional image reconstruction using optical scanning holography,” Appl. Opt. 48, H113–H119 (2009).
[Crossref]

X. Zhang, E. Y. Lam, and T.-C. Poon, “Reconstruction of sectional images in holography using inverse imaging,” Opt. Express 16, 17215–17226 (2008).
[Crossref]

E. Y. Lam, “Computational sectioning and resolution enhancement in optical scanning holography,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2014), paper DTu2B.1.

N. Chen, Z. Ren, A. Chan, X. Sun, and E. Y. Lam, “Depth enhancement of optical scanning holography with a spiral phase plate,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2015), paper DW2A.3.

Li, C. M.

Liu, J.-P.

Maghnouji, A. E.

McNamara, D. E.

Ou, H.

Pan, H.

Pan, Y.

Poon, T. C.

Poon, T.-C.

Ren, Z.

N. Chen, Z. Ren, A. Chan, X. Sun, and E. Y. Lam, “Depth enhancement of optical scanning holography with a spiral phase plate,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2015), paper DW2A.3.

Rosen, J.

Senthilkumaran, P.

D. P. Ghai, P. Senthilkumaran, and R. Sirohi, “Single-slit diffraction of an optical beam with phase singularity,” Opt. Lasers Eng. 47, 123–126 (2009).
[Crossref]

Singh, S.

Sirohi, R.

D. P. Ghai, P. Senthilkumaran, and R. Sirohi, “Single-slit diffraction of an optical beam with phase singularity,” Opt. Lasers Eng. 47, 123–126 (2009).
[Crossref]

Soares, W. C.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chvez-Cerda, “Unveiling a truncated optical lattice associated with a triangular aperture using lights orbital angular momentum,” Phys. Rev. Lett. 105, 053904 (2010).
[Crossref]

Sun, X.

N. Chen, Z. Ren, A. Chan, X. Sun, and E. Y. Lam, “Depth enhancement of optical scanning holography with a spiral phase plate,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2015), paper DW2A.3.

Tada, Y.

Tsang, P. W. M.

Vo, H.

Vyas, R.

Wan, D.-M.

Wang, B.-Z.

Wang, Y.

Wong, K. K. Y.

Xu, J.-B.

Yu, J.

Zeng, X.

Zhang, L.-Z.

Zhang, X.

Zhong, W.

Zhou, C.

Zhou, X.

Appl. Opt. (6)

J. Opt. Soc. Am. A (3)

Opt. Express (2)

Opt. Lasers Eng. (1)

D. P. Ghai, P. Senthilkumaran, and R. Sirohi, “Single-slit diffraction of an optical beam with phase singularity,” Opt. Lasers Eng. 47, 123–126 (2009).
[Crossref]

Opt. Lett. (5)

Optica (1)

Photon. Res. (1)

Phys. Rev. Lett. (1)

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chvez-Cerda, “Unveiling a truncated optical lattice associated with a triangular aperture using lights orbital angular momentum,” Phys. Rev. Lett. 105, 053904 (2010).
[Crossref]

Other (3)

N. Chen, Z. Ren, A. Chan, X. Sun, and E. Y. Lam, “Depth enhancement of optical scanning holography with a spiral phase plate,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2015), paper DW2A.3.

E. Y. Lam, “Computational sectioning and resolution enhancement in optical scanning holography,” in OSA Topical Meeting in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2014), paper DTu2B.1.

T.-C. Poon, Optical Scanning Holography with MATLAB (Springer, 2007).

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Figures (12)

Fig. 1.
Fig. 1.

Scheme of the proposed SPP-OSH system. BSn, beam splitters; AOF, acousto-optic frequency shifter; Mn, mirror; pn, pupils; Ln, thin lens; SM, scanning mirror; PD, photodetector.

Fig. 2.
Fig. 2.

(a) Real part, (b) imaginary part, and (c) phase profile of the hologram recorded with the conventional OSH; (d) real part, (e) imaginary part, and (f) phase profile of the hologram recorded with the proposed SPP-OSH.

Fig. 3.
Fig. 3.

Hologram reconstructions of a pinhole. Intensity profile of the reconstruction using (a) the OSH and (b) SPP-OSH. (c) Plot image across the center of the reconstructed point.

Fig. 4.
Fig. 4.

Hologram reconstructions of a pinhole. Intensity profile of the reconstruction using (a) the OSH and (b) SPP-OSH. (c) Plot image across the center of the reconstructed point.

Fig. 5.
Fig. 5.

Resolution chart.

Fig. 6.
Fig. 6.

Reconstructed images of the resolution chart at the focal plane of the object with (a) OSH and (b) SPP-OSH. Corresponding plot profiles across the horizontal centerlines are given in (c) and (d).

Fig. 7.
Fig. 7.

Example 1: Resolution chart reconstructions with the OSH in (a) and (c); with the SPP-OSH in (b) and (d).

Fig. 8.
Fig. 8.

Object with two plane images located at (a) z1 and (b) z2.

Fig. 9.
Fig. 9.

(a) Real part and (b) imaginary part of the conventional OSH hologram; (c) real part and (d) imaginary part of the proposed SPP-OSH hologram.

Fig. 10.
Fig. 10.

Reconstructed images while Δz=5.5mm (first row) and 11 mm (second row), using the OSH method, given in (a), (b), (e), and (f); similar figures using the SPP-OSH method are given in (c), (d), (g), and (h).

Fig. 11.
Fig. 11.

Comparison of the SPP-OSH and OSH: the correlation between the reconstructed images and the original images in terms of the depth interval of the object planes.

Fig. 12.
Fig. 12.

Comparison of the SPP-OSH and DW-OSH: the correlation between the reconstructed images and the original images in terms of the depth interval of the object planes.

Equations (8)

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t(r,θ)=circ(rR)exp(jθ),
p2(ρ,φ)=kπR2fρexp[j(φ+π2)][H0(ξ)J1(ξ)H1(ξ)J0(ξ)],
H(ρ,φ;z)=exp[jz2kρ2]02π0p1*(r)p2(r+r)×exp[jzfrρcos(θφ)]drdθ.
H(ρ,φ;z)=exp[jz2kρ2]02π0p2(r+rR)×exp[jzfrρcos(θφ)]drdθ=exp[jz2kρ2]I{p2*(r,θ)},
h(r,θ;z)=I1{exp[jz2kρ2]I{p2*(r,θ)}}={k2πzexp[jk2zr2]}{π2r(k2πz)12exp[j(θπ4)][J0(kr22z)jJ1(kr22z)]}circ(rfzR),
g(x,y;z)=O(x,y;z)*h(x,y;z)dz,
O(x,y;z)=n=1NO(x,y;zn),
g(x,y;z)=n=1NO(x,y;zn)*h(x,y;zn).

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