OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 22 — Oct. 22, 2012
  • pp: 24886–24902

Third-harmonic generation microscopy with Bessel beams: a numerical study

Nicolas Olivier, Delphine Débarre, Pierre Mahou, and Emmanuel Beaurepaire  »View Author Affiliations

Optics Express, Vol. 20, Issue 22, pp. 24886-24902 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (4098 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study theoretically and numerically third-harmonic generation (THG) from model geometries (interfaces, slabs, periodic media) illuminated by Bessel beams produced by focusing an annular intensity profile. Bessel beams exhibit a phase and intensity distribution near focus different from Gaussian beams, resulting in distinct THG phase matching properties and coherent scattering directions. Excitation wave vectors are controlled by adjusting the bounding aperture angles of the Bessel beam. In addition to extended depth-of-field imaging, this opens interesting perspectives for coherent nonlinear microscopy, such as extracting sample spatial frequencies in the λ/8 - λ range in the case of organized media.

© 2012 OSA

OCIS Codes
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(190.4160) Nonlinear optics : Multiharmonic generation
(180.4315) Microscopy : Nonlinear microscopy

ToC Category:

Original Manuscript: August 3, 2012
Revised Manuscript: October 3, 2012
Manuscript Accepted: October 3, 2012
Published: October 16, 2012

Nicolas Olivier, Delphine Débarre, Pierre Mahou, and Emmanuel Beaurepaire, "Third-harmonic generation microscopy with Bessel beams: a numerical study," Opt. Express 20, 24886-24902 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. W. Mohler, A. C. Millard, and P. J. Campagnola, “Second harmonic imaging of endogenous structural proteins,” Methods29, 97–109 (2003). [CrossRef] [PubMed]
  2. J.-X. Cheng and X. S. Xie, “Coherent anti-Stokes Raman scattering microscopy: instrumentation, theory, and applications,” J. Phys. Chem. B108, 827–840 (2004). [CrossRef]
  3. A. Volkmer, “Vibrational imaging and microspectroscopies based on coherent anti-Stokes Raman scattering microscopy,” J. Phys. D: Appl. Phys.38, R59–R81 (2005). [CrossRef]
  4. D. Yelin and Y. Silberberg, “Laser scanning third-harmonic generation microscopy in biology,” Opt. Express5, 169–175 (1999). [CrossRef] [PubMed]
  5. J. Mertz and L. Moreaux, “Second-harmonic generation by focused excitation of inhomogeneously distributed scatterers,” Opt. Commun.196, 325–330 (2001). [CrossRef]
  6. J.-X. Cheng and X. S. Xie, “Green’s function formulation for third harmonic generation microscopy,” J. Opt. Soc. Am. B19, 1604–1610 (2002). [CrossRef]
  7. D. Débarre, W. Supatto, and E. Beaurepaire, “Structure sensitivity in third-harmonic generation microscopy,” Opt. Lett.30, 2134–2136 (2005). [CrossRef] [PubMed]
  8. C. Maurer, A. Jesacher, S. Furhapter, S. Bernet, and M. Ritsch-Marte, “Tailoring of arbitrary optical vector beams,” New J. Phys.9, 78 (2007). [CrossRef]
  9. M. R. Foreman, S. S. Sherif, P. R. T. Munro, and P. Török, “Inversion of the Debye-Wolf diffraction integral using an eigenfunction representation of the electric fields in the focal region,” Opt. Express16, 4901–4917 (2008). [CrossRef] [PubMed]
  10. C. Lutz, T. S Otis, V. DeSars, S. Charpak, D. A. DiGregorio, and V. Emiliani, “Holographic photolysis of caged neurotransmitters” Nat. Methods5, 821–827 (2008). [CrossRef]
  11. N. Olivier and E. Beaurepaire, “Third-harmonic generation microscopy with focus-engineered beams: a numerical study,” Opt. Express16, 14703–14715 (2008). [CrossRef] [PubMed]
  12. K. Yoshiki, K. Ryosuke, M. Hashimoto, T. Araki, and N. Hashimoto, “Second-harmonic-generation microscope using eight-segment polarization-mode converter to observe three-dimensional molecular orientation,” Opt. Lett.32, 1680–1682 (2007). [CrossRef] [PubMed]
  13. V. V. Krishnamachari and E. O. Potma, “Detecting lateral interfaces with focus-engineered coherent anti-stokes raman scattering microscopy,” J. Raman Spectr.39, 593–598 (2008). [CrossRef]
  14. Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg, “Nonlinear scanning laser microscopy by third harmonic generation,” Appl. Phys. Lett.70, 922–924 (1997). [CrossRef]
  15. M. Müller, J. Squier, K. R. Wilson, and G. J. Brakenhoff, “3D-microscopy of transparent objects using third-harmonic generation,” J. Microsc.191, 266–274 (1998). [CrossRef] [PubMed]
  16. D. Oron, D. Yelin, E. Tal, S. Raz, R. Fachima, and Y. Silberberg, “Depth-resolved structural imaging by third-harmonic generation microscopy,” J. Struct. Biol.147, 3–11 (2004). [CrossRef] [PubMed]
  17. C. K. Sun, S.-W. Chu, S.-Y. Chen, T.-H. Tsai, T.-M. Liu, C.-Y. Lin, and H.-J. Tsai, “Higher harmonic generation microscopy for developmental biology,” J. Struct. Biol.147, 19–30 (2004). [CrossRef] [PubMed]
  18. D. Débarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, “Imaging lipid bodies in cells and tissues using third-harmonic generation microscopy,” Nat. Methods3, 47–53 (2006). [CrossRef]
  19. N. Olivier, M. Luengo-Oroz, L. Duloquin, E. Faure, T. Savy, I. Veilleux, X. Solinas, D. Débarre, P. Bourgine, A. Santos, N. Peyriéras, and E. Beaurepaire, “Cell lineage reconstruction of early zebrafish embryos using label-free nonlinear microscopy,” Science339, 967–971 (2010). [CrossRef]
  20. J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett.58, 1499–1501 (1987). [CrossRef] [PubMed]
  21. J. Durnin, “Exact solutions for nondiffracting beams. i. the scalar theory,” J. Opt. Soc. Am. A4, 651–654 (1987). [CrossRef]
  22. J. E. Durnin, J. J. Miceli, and J. H. Eberly, “Comparison of Bessel and Gaussian beams,” Opt. Lett.13, 79–80 (1988). [CrossRef] [PubMed]
  23. D. McGloin and K. Dholakia, “Bessel beams: diffraction in a new light,” Contemp. Phys.46, 15–28 (2005). [CrossRef]
  24. A. Boivin, “On the theory of diffraction by concentric arrays of ring-shaped apertures,” J. Opt. Soc. Am.42, 60–64 (1952). [CrossRef]
  25. W. T. Welford, “Use of annular apertures to increase focal depth,” J. Opt. Soc. Am.50, 749–752 (1960). [CrossRef]
  26. C. J. R. Sheppard, “The use of lenses with annular aperture in scanning optical microscopy,” Optik48, 329–334 (1977).
  27. S. W. Hell, P. E. Henninen, A. Kuusisto, M. Schrader, and E. Soini, “Annular aperture two-photon excitation microscopy,” Opt. Commun.117, 20–24 (1995). [CrossRef]
  28. E. J. Botcherby, R. Juškaitis, and T. Wilson, “Scanning two photon fluorescence microscopy with extended depth of field,” Opt. Commun.268, 253–260 (2006). [CrossRef]
  29. N. Olivier, A. Mermillod-Blondin, C. B. Arnold, and E. Beaurepaire, “Two-photon microscopy with simultaneous standard and extended depth of field using a tunable acoustic gradient-index lens,” Opt. Lett.34, 1684–1686 (2009). [CrossRef] [PubMed]
  30. T. A. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods8, 417–423 (2011). [CrossRef] [PubMed]
  31. Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Commun.151, 207–211, (2008). [CrossRef]
  32. F.O. Fahrbach, P. Simon, and A. Rohrbach, “Microscopy with self-reconstructing beams,” Nat. Photonics4, 780–785, (2010). [CrossRef]
  33. K. Shinozaki, X. Chang-Qing, H. Sasaki, and T. Kamijoh, “A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals,” Opt. Commun.133, 300–304 (1997). [CrossRef]
  34. J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, “Efficiency of second-harmonic generation with Bessel beams,” Phys. Rev. A60, 2438–2441 (1999). [CrossRef]
  35. C. F. R. Caron and R. M. Potvliege, “Optimum conical angle of a bessel–gauss beam for low-order harmonic generation in gases,” J. Opt. Soc. Am. B16, 1377–1384 (1999). [CrossRef]
  36. S. P. Tewari, H. Huang, and R. W. Boyd, “Theory of third-harmonic generation using bessel beams, and self-phase-matching,” Phys. Rev. A54, 2314–2325 (1996). [CrossRef] [PubMed]
  37. V. E. Peet and R. V. Tsubin, “Third-harmonic generation and multiphoton ionization in bessel beams,” Phys. Rev. A56, 1613–1620 (1997). [CrossRef]
  38. V. E. Peet and S. V. Shchemeljov, “Spectral and spatial characteristics of third-harmonic generation in conical light beams,” Phys. Rev. A67, 013801 (2003). [CrossRef]
  39. S. Yang and Q. Zhan, “Third-harmonic generation microscopy with tightly focused radial polarization,” J. Opt. A10, 125103 (2008). [CrossRef]
  40. B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanetic system,” Proc. Royal Soc. A253, 358–379 (1959). [CrossRef]
  41. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge Univ. Press, 2006). [CrossRef]
  42. D. Débarre, N. Olivier, and E. Beaurepaire, “Signal epidetection in third-harmonic generation microscopy of turbid media,” Opt. Express15, 8913–8924 (2007). [CrossRef] [PubMed]
  43. Q. Zhan “Second-order tilted wave interpretation of the Gouy phase shift under high numerical aperture uniform illumination,” Optics Commun.242, 351–360 (2004). [CrossRef]
  44. A. Piskarskas, V. Smilgevičius, A. Stabinis, V. Jarutis, V. Pašiškevičius, S. Wang, J. Tellefsen, and F. Laurell, “Noncollinear second-harmonic generation in periodically poled KTiOPO(4) excited by the bessel beam,” Opt. Lett.24, 1053–1055 (1999). [CrossRef]
  45. V. V. Krishnamachari and E. O. Potma, “Multi-dimensional differential imaging with fe-cars microscopy,” Vib. Spectrosc.50, 10–14 (2009). [CrossRef]
  46. D. Débarre and E. Beaurepaire, “Quantitative characterization of biological liquids for third-harmonic generation microscopy,” Biophys. J.92, 603–612 (2007). [CrossRef]
  47. S. Carrasco, B. E. A. Saleh, M. C. Teich, and J. T. Fourkas, “Second- and third-harmonic generation with vector Gaussian beams,” J. Opt. Soc. Am. B23, 2134–2141 (2006). [CrossRef]
  48. N. Olivier, F. Aptel, K. Plamann, M-C. Schanne-Klein, and E. Beaurepaire, “Harmonic microscopy of isotropic and anisotropic microstructure of the human cornea,” Opt. Express5, 5028–5040 (2010). [CrossRef]
  49. O. Masihzadeh, P. Schlup, and R. A. Bartels, “Enhanced spatial resolution in third-harmonic microscopy through polarization switching,” Opt. Lett.34, 1240–1242 (2009). [CrossRef] [PubMed]
  50. F. Lu, W. Zheng, and Z. Huang, “Coherent anti-Stokes Raman scattering microscopy using tightly focused radially polarized light,” Opt. Lett.34, 1870–1872 (2009). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited