Abstract

Synthetic aperture methods are commonly-used techniques for providing images with super-resolution qualities. We propose an improved design of the system, coined “synthetic aperture with Fresnel elements”. The super-resolution capabilities of the proposed scheme are analyzed and experimentally demonstrated.

© 2014 Optical Society of America

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References

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  1. E. Abbe, “Beitrage zür theorie des mikroskops und der mikroskopischen wahrnehmung,” Archiv. Microskopische Anat. 9(1), 413–418 (1873).
    [Crossref]
  2. A. A. Michelson, “On the application of interference methods to astronomical measurements,” Proc. Natl. Acad. Sci. U.S.A. 6(8), 474–475 (1920).
    [Crossref] [PubMed]
  3. P. R. Lawson, Selected Paper on Long Baseline Stellar Interferometry, (SPIE Press Book, 1997).
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    [Crossref]
  5. S. M. Beck, J. R. Buck, W. F. Buell, R. P. Dickinson, D. A. Kozlowski, N. J. Marechal, and T. J. Wright, “Synthetic-aperture imaging laser radar: laboratory demonstration and signal processing,” Appl. Opt. 44(35), 7621–7629 (2005).
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    [Crossref]
  10. 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(6), 993–1000 (2007).
    [Crossref] [PubMed]
  11. J. Rosen and G. Brooker, “Digital spatially incoherent Fresnel holography,” Opt. Lett. 32(8), 912–914 (2007).
    [Crossref] [PubMed]
  12. J. Rosen and G. Brooker, “Non-Scanning Motionless Fluorescence Three-Dimensional Holographic Microscopy,” Nat. Photonics 2(3), 190–195 (2008).
    [Crossref]
  13. P. Bouchal, J. Kapitán, R. Chmelík, and Z. Bouchal, “Point spread function and two-point resolution in Fresnel incoherent correlation holography,” Opt. Express 19(16), 15603–15620 (2011).
    [Crossref] [PubMed]
  14. J. Rosen, N. Siegel, and G. Brooker, “Theoretical and experimental demonstration of resolution beyond the Rayleigh limit by FINCH fluorescence microscopic imaging,” Opt. Express 19(27), 26249–26268 (2011).
    [Crossref] [PubMed]
  15. B. Katz, J. Rosen, R. Kelner, and G. Brooker, “Enhanced resolution and throughput of Fresnel incoherent correlation holography (FINCH) using dual diffractive lenses on a spatial light modulator (SLM),” Opt. Express 20(8), 9109–9121 (2012).
    [Crossref] [PubMed]
  16. B. Katz and J. Rosen, “Super-resolution in incoherent optical imaging using synthetic aperture with Fresnel elements,” Opt. Express 18(2), 962–972 (2010).
    [Crossref] [PubMed]
  17. B. Katz and J. Rosen, “Could SAFE concept be applied for designing a new synthetic aperture telescope?” Opt. Express 19(6), 4924–4936 (2011).
    [Crossref] [PubMed]
  18. G. Brooker, N. Siegel, V. Wang, and J. Rosen, “Optimal resolution in Fresnel incoherent correlation holographic fluorescence microscopy,” Opt. Express 19(6), 5047–5062 (2011).
    [Crossref] [PubMed]
  19. J. W. Goodman, Introduction to Fourier optics, 3rd Ed., (Roberts and Company Publishers, 2005).
  20. X. Lai, S. Zeng, X. Lv, J. Yuan, and L. Fu, “Violation of the Lagrange invariant in an optical imaging system,” Opt. Lett. 38(11), 1896–1898 (2013).
    [Crossref] [PubMed]

2013 (2)

K. Ji, P. Gao, J. Min, R. Guo, and N. Menke, “A synthetic aperture telescope based on a pair of gratings,” J. Mod. Opt. 60(15), 1229–1233 (2013).
[Crossref]

X. Lai, S. Zeng, X. Lv, J. Yuan, and L. Fu, “Violation of the Lagrange invariant in an optical imaging system,” Opt. Lett. 38(11), 1896–1898 (2013).
[Crossref] [PubMed]

2012 (1)

2011 (4)

2010 (3)

2008 (2)

J. Rosen and G. Brooker, “Non-Scanning Motionless Fluorescence Three-Dimensional Holographic Microscopy,” Nat. Photonics 2(3), 190–195 (2008).
[Crossref]

L. Martínez-León and B. Javidi, “Synthetic aperture single-exposure on-axis digital holography,” Opt. Express 16(1), 161–169 (2008).
[Crossref] [PubMed]

2007 (2)

2006 (1)

2005 (1)

1920 (1)

A. A. Michelson, “On the application of interference methods to astronomical measurements,” Proc. Natl. Acad. Sci. U.S.A. 6(8), 474–475 (1920).
[Crossref] [PubMed]

1873 (1)

E. Abbe, “Beitrage zür theorie des mikroskops und der mikroskopischen wahrnehmung,” Archiv. Microskopische Anat. 9(1), 413–418 (1873).
[Crossref]

Abbe, E.

E. Abbe, “Beitrage zür theorie des mikroskops und der mikroskopischen wahrnehmung,” Archiv. Microskopische Anat. 9(1), 413–418 (1873).
[Crossref]

Beck, S. M.

Bouchal, P.

Bouchal, Z.

Brooker, G.

Buck, J. R.

Buell, W. F.

Chmelík, R.

Dickinson, R. P.

Fiddy, M. A.

M. E. Testorf and M. A. Fiddy, “Superresolution imaging-revisited,” Adv. Imaging Electron Phys. 163, 165–218 (2010).
[Crossref]

Fu, L.

Gao, P.

K. Ji, P. Gao, J. Min, R. Guo, and N. Menke, “A synthetic aperture telescope based on a pair of gratings,” J. Mod. Opt. 60(15), 1229–1233 (2013).
[Crossref]

García, J.

García-Martínez, P.

Granero, L.

Guo, R.

K. Ji, P. Gao, J. Min, R. Guo, and N. Menke, “A synthetic aperture telescope based on a pair of gratings,” J. Mod. Opt. 60(15), 1229–1233 (2013).
[Crossref]

Indebetouw, G.

Javidi, B.

Ji, K.

K. Ji, P. Gao, J. Min, R. Guo, and N. Menke, “A synthetic aperture telescope based on a pair of gratings,” J. Mod. Opt. 60(15), 1229–1233 (2013).
[Crossref]

Kapitán, J.

Katz, B.

Kelner, R.

Kozlowski, D. A.

Lai, X.

Lv, X.

Marechal, N. J.

Martínez-León, L.

Menke, N.

K. Ji, P. Gao, J. Min, R. Guo, and N. Menke, “A synthetic aperture telescope based on a pair of gratings,” J. Mod. Opt. 60(15), 1229–1233 (2013).
[Crossref]

Michelson, A. A.

A. A. Michelson, “On the application of interference methods to astronomical measurements,” Proc. Natl. Acad. Sci. U.S.A. 6(8), 474–475 (1920).
[Crossref] [PubMed]

Micó, V.

Min, J.

K. Ji, P. Gao, J. Min, R. Guo, and N. Menke, “A synthetic aperture telescope based on a pair of gratings,” J. Mod. Opt. 60(15), 1229–1233 (2013).
[Crossref]

Rosen, J.

B. Katz, J. Rosen, R. Kelner, and G. Brooker, “Enhanced resolution and throughput of Fresnel incoherent correlation holography (FINCH) using dual diffractive lenses on a spatial light modulator (SLM),” Opt. Express 20(8), 9109–9121 (2012).
[Crossref] [PubMed]

J. Rosen, N. Siegel, and G. Brooker, “Theoretical and experimental demonstration of resolution beyond the Rayleigh limit by FINCH fluorescence microscopic imaging,” Opt. Express 19(27), 26249–26268 (2011).
[Crossref] [PubMed]

B. Katz and J. Rosen, “Could SAFE concept be applied for designing a new synthetic aperture telescope?” Opt. Express 19(6), 4924–4936 (2011).
[Crossref] [PubMed]

G. Brooker, N. Siegel, V. Wang, and J. Rosen, “Optimal resolution in Fresnel incoherent correlation holographic fluorescence microscopy,” Opt. Express 19(6), 5047–5062 (2011).
[Crossref] [PubMed]

B. Katz and J. Rosen, “Super-resolution in incoherent optical imaging using synthetic aperture with Fresnel elements,” Opt. Express 18(2), 962–972 (2010).
[Crossref] [PubMed]

J. Rosen and G. Brooker, “Non-Scanning Motionless Fluorescence Three-Dimensional Holographic Microscopy,” Nat. Photonics 2(3), 190–195 (2008).
[Crossref]

J. Rosen and G. Brooker, “Digital spatially incoherent Fresnel holography,” Opt. Lett. 32(8), 912–914 (2007).
[Crossref] [PubMed]

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(6), 993–1000 (2007).
[Crossref] [PubMed]

Siegel, N.

Tada, Y.

Testorf, M. E.

M. E. Testorf and M. A. Fiddy, “Superresolution imaging-revisited,” Adv. Imaging Electron Phys. 163, 165–218 (2010).
[Crossref]

Wang, V.

Wright, T. J.

Yuan, J.

Zalevsky, Z.

Zeng, S.

Adv. Imaging Electron Phys. (1)

M. E. Testorf and M. A. Fiddy, “Superresolution imaging-revisited,” Adv. Imaging Electron Phys. 163, 165–218 (2010).
[Crossref]

Appl. Opt. (3)

Archiv. Microskopische Anat. (1)

E. Abbe, “Beitrage zür theorie des mikroskops und der mikroskopischen wahrnehmung,” Archiv. Microskopische Anat. 9(1), 413–418 (1873).
[Crossref]

J. Mod. Opt. (1)

K. Ji, P. Gao, J. Min, R. Guo, and N. Menke, “A synthetic aperture telescope based on a pair of gratings,” J. Mod. Opt. 60(15), 1229–1233 (2013).
[Crossref]

J. Opt. Soc. Am. A (1)

Nat. Photonics (1)

J. Rosen and G. Brooker, “Non-Scanning Motionless Fluorescence Three-Dimensional Holographic Microscopy,” Nat. Photonics 2(3), 190–195 (2008).
[Crossref]

Opt. Express (7)

Opt. Lett. (2)

Proc. Natl. Acad. Sci. U.S.A. (1)

A. A. Michelson, “On the application of interference methods to astronomical measurements,” Proc. Natl. Acad. Sci. U.S.A. 6(8), 474–475 (1920).
[Crossref] [PubMed]

Other (2)

P. R. Lawson, Selected Paper on Long Baseline Stellar Interferometry, (SPIE Press Book, 1997).

J. W. Goodman, Introduction to Fourier optics, 3rd Ed., (Roberts and Company Publishers, 2005).

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