OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 25 — Dec. 6, 2010
  • pp: 26084–26091

Mathieu beams as versatile light moulds for 3D micro particle assemblies

C. Alpmann, R. Bowman, M. Woerdemann, M. Padgett, and C. Denz  »View Author Affiliations

Optics Express, Vol. 18, Issue 25, pp. 26084-26091 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (2083 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present tailoring of three dimensional light fields which act as light moulds for elaborate particle micro structures of variable shapes. Stereo microscopy is used for visualization of the 3D particle assemblies. The powerful method is demonstrated for the class of propagation invariant beams, where we introduce the use of Mathieu beams as light moulds with non-rotationally-symmetric structure. They offer multifarious field distributions and facilitate the creation of versatile particle structures. This general technique may find its application in micro fluidics, chemistry, biology, and medicine, to create highly efficient mixing tools, for hierarchical supramolecular organization or in 3D tissue engineering.

© 2010 Optical Society of America

OCIS Codes
(140.7010) Lasers and laser optics : Laser trapping
(220.4000) Optical design and fabrication : Microstructure fabrication
(070.3185) Fourier optics and signal processing : Invariant optical fields
(350.4855) Other areas of optics : Optical tweezers or optical manipulation

ToC Category:
Laser Microfabrication

Original Manuscript: October 1, 2010
Revised Manuscript: October 29, 2010
Manuscript Accepted: November 1, 2010
Published: November 30, 2010

C. Alpmann, R. Bowman, M. Woerdemann, M. Padgett, and C. Denz, "Mathieu beams as versatile light moulds for 3D micro particle assemblies," Opt. Express 18, 26084-26091 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Mazilu, D. J. Stevenson, F. Gunn-Moore, and K. Dholakia, ""Light beats the spread: "non-diffracting" beams," Laser Photon. Rev. 4, 529-547 (2010). [CrossRef]
  2. J. Xavier, M. Boguslawski, P. Rose, J. Joseph, and C. Denz, "Reconfigurable optically induced quasi-crystallographic three-dimensional complex nonlinear photonic lattice structures," Adv. Mater. (Deerfield Beach Fla.) 22, 356-360 (2010). [CrossRef] [PubMed]
  3. G. von Freymann, A. Ledermann, M. Thiel, I. Staude, S. Essig, K. Busch, and M. Wegener, "Three-dimensional nanostructures for photonics," Adv. Funct. Mater. 20, 1038-1052 (2010). [CrossRef]
  4. T. Cižmár, L. C. D. Romero, K. Dholakia, and D. L. Andrews, "Multiple optical trapping and binding: new routes to self-assembly," J. Phys. At. Mol. Opt. Phys. 43, 102001 (2010). [CrossRef]
  5. M. Woerdemann, K. Berghoff, and C. Denz, "Dynamic multiple-beam counter-propagating optical traps using optical phase-conjugation," Opt. Express 18, 22348-22357 (2010). [CrossRef] [PubMed]
  6. M. Woerdemann, S. Gläsener, F. Hörner, A. Devaux, L. D. Cola, and C. Denz, "Dynamic and reversible organization of zeolite L crystals induced by holographic optical tweezers," Adv. Mater. (Deerfield Beach Fla.) 22, 4176-4179 (2010). [CrossRef] [PubMed]
  7. D. C. Benito, D. M. Carberry, S. H. Simpson, G. M. Gibson, M. J. Padgett, J. G. Rarity, M. J. Miles, and S. Hanna, "Constructing 3d crystal templates for photonic band gap materials using holographic optical tweezers," Opt. Express 16, 13005-13015 (2008). [CrossRef] [PubMed]
  8. M. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, "Creation and manipulation of three-dimensional optically trapped structures," Science 296, 1101-1103 (2002). [CrossRef] [PubMed]
  9. G. Sinclair, P. Jordan, J. Courtial, M. Padgett, J. Cooper, and Z. Laczik, "Assembly of 3-dimensional structures using programmable holographic optical tweezers," Opt. Express 12, 5475-5480 (2004). [CrossRef] [PubMed]
  10. V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002). [CrossRef] [PubMed]
  11. J. Gutiérrez-Vega, and M. Bandres, "Helmholtz-gauss waves," J. Opt. Soc. Am. A 22, 289-298 (2005). [CrossRef]
  12. J. Gutiérrez-Vega, R. Rodríguez-Dagnino, M. Meneses-Nava, and S. Chávez-Cerda, "Mathieu functions, a visual approach," Am. J. Phys. 71, 233-242 (2003). [CrossRef]
  13. C. Lopez-Mariscal, J. Gutiérrez-Vega, G. Milne, and K. Dholakia, "Orbital angular momentum transfer in helical Mathieu beams," Opt. Express 14, 4182-4187 (2006). [CrossRef] [PubMed]
  14. S. Chávez-Cerda, M. Padgett, I. Allison, G. New, J. Gutiérrez-Vega, A. O’Neil, I. MacVicar, and J. Courtial, "Holographic generation and orbital angular momentum of high-order Mathieu beams," J. Opt. B Quantum Semiclassical Opt. 4, S52-S57 (2002). [CrossRef]
  15. L. C. Thomson, and J. Courtial, "Holographic shaping of generalized self-reconstructing light beams," Opt. Commun. 281, 1217-1221 (2008). [CrossRef]
  16. T. Cižmár, V. Kollarova, X. Tsampoula, F. Gunn-Moore, W. Sibbett, Z. Bouchal, and K. Dholakia, "Generation of multiple Bessel beams for a biophotonics workstation," Opt. Express 16, 14024-14035 (2008). [CrossRef] [PubMed]
  17. R. Bowman, G. Gibson, and M. Padgett, "Particle tracking stereomicroscopy in optical tweezers: Control of trap shape," Opt. Express 18, 11785-11790 (2010). [CrossRef] [PubMed]
  18. D. Bruhwiler, and G. Calzaferri, "Molecular sieves as host materials for supramolecular organization," Microporous Mesoporous Mater. 72, 1-23 (2004). [CrossRef]
  19. A. T. O’Neil, and M. J. Padgett, "Three-dimensional optical confinement of micron-sized metal particles and the decoupling of the spin and orbital angular momentum within an optical spanner," Opt. Commun. 185, 139-143 (2000). [CrossRef]
  20. F. Hörner, M. Woerdemann, S. Müller, B. Maier, and C. Denz, "Full 3d translational and rotational optical control of multiple rod-shaped bacteria," J. Biophoton. 3 (2010). [CrossRef]
  21. S. H. Simpson, and S. Hanna, "Holographic optical trapping of microrods and nanowires," J. Opt. Soc. Am. A 27, 1255-1264 (2010). [CrossRef]

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.

Supplementary Material

» Media 1: MPG (2182 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited