Tailored light fields: Nondiffracting and self-similar beams for optical structuring and organization

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 8274, Issue , 2012, Pages

  Alpmann, C ^a   Boguslawski, M ^a   Rose, P ^a   Wordemann M ^a   Denz, C ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Holographic beam shaping; Ince Gaussian beams; Mathieu beams; nondiffracting beams; optical induction; optical micromanipulation; photonic lattices; structured light fields

Indexed keywords

HOLOGRAPHIC BEAM SHAPING; INCE-GAUSSIAN BEAMS; MATHIEU BEAMS; NONDIFFRACTING BEAM; OPTICAL INDUCTION; OPTICAL MICROMANIPULATION; PHOTONIC LATTICES; STRUCTURED LIGHT;

GAUSSIAN BEAMS; MICROMANIPULATORS; PHOTONICS; TEACHING;

REFRACTIVE INDEX;

EID: 84857604405     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.908903     Document Type: Conference Paper

References (33)

1. Bandres, M.A. and Gutierrez-Vega, J.C., "Ince Gaussian beams", Opt. Lett. 29(2), 144-146 (2004).
2. Ashkin, A. Dziedzic, J.M. Bjorkholm, J.E. and Chu, S., "Observation of a single-beam gradient force optical trap for dielectric particles", Opt. Lett. 11(5), 288-290 (1986).
3. Woerdemann, M., Glaesener, S., Hoerner, F., Devaux, A., De Cola, L. Denz, C., "Dynamic and Reversible Organization of Zeolite L Crystals Induced by Holographic Optical Tweezers", Adv. Mat. 22(37), 4176 (2010).
4. Durnin, J., Miceli, J.J., and Eberly, J.H., "Diffraction-free beams", Phys. Rev. Lett. 58(15), 1499-1501 (1987).
5. Boguslawski, M., Rose, P., and Denz, C., "Increasing the structural variety of discrete nondiffracting wave fields", Phys. Rev. A 84(1), 013832 (2011)
6. Bouchal, Z., Wagner, J. and Chlup, M., "Self-reconstruction of a distorted nondiffracting beam", Opt. Commun. 151(4), 207-211 (1998).
7. Thomson, L.C. and Courtial, J., "Holographic shaping of generalized self-reconstructing light beams", Opt. Commun. 281(5), 1217-1221 (2008).
8. Baumgartl, J., Mazilu, M., and Dholakia, K., "Optically mediated particle clearing using Airy wavepackets", Nat. Phot. 2(11), 675-678 (2008).
9. Arscott, F.M., "Two-parameter eigenvalue problems in differential equations", Proc. London Math. Soc. 3(14), 459-70 (1963).
10. Ince, E.L., "A linear differential equation with periodic coefficients", Proc. London Math. Soc. 23, 56-74 (1923).
11. Liesener, J., Reicherter, M., Haist, T., and Tiziani, H.J., "Multi-functional optical tweezers using computer-generated holograms", Opt. Commun. 185(1), 77-82 (2000).
12. Alpmann, C., Bowman, R., Woerdemann, M., Padgett, M., and Denz, C., "Mathieu beams as versatile light moulds for 3d micro particle assemblies", Opt. Express 18(25), 26084-26091 (2010).
13. Woerdemann, M., Alpmann, C. and Denz, C., "Optical assembly of microparticles into highly ordered structures using Ince-Gaussian beams", Appl. Phys. Lett. 98(11), 111101 (2011).
14. Kirk, J., and Jones, A., "Phase-only complex-valued spatial filter", J. Opt. Soc. Am. 61, 1023-1028 (1971).
15. Arrizón, V., Ruiz, U., Carrada, R., and González, L., "Pixelated phase computer holograms for the accurate encoding of scalar complex fields", J. Opt. Soc. Am. A 24, 3500-3507 (2007).
16. Arrizón, V., Sanchez de-la Llave, D., Ruiz, U. and Mendez, G., "Efficient generation of an arbitrary nondiffracting Bessel beam employing its phase modulation", Opt. Lett. 34(9), 1456-1458 (2009).
17. Bentley, J.B., Davis, J.A., Bandres, M.A., and Gutierrez-Vega, J.C., "Generation of helical Ince-Gaussian beams with a liquid-crystal display", Opt. Lett. 31(5), 649-651 (2006).
18. Davis, J.A., Cottrell, D.M., Campos, J., Yzuel, M.J., and Moreno, I., "Encoding amplitude information onto phase-only filters", Appl. Opt. 38(23), 5004-5013 (1999).
19. Davis, J.A., Cottrell, D.M., Campos, J., Yzuel, M.J., and Moreno, I., "Bessel function output from an optical correlator with a phase-only encoded inverse filter", Appl. Opt. 38(32), 6709-6713 (1999).
20. Davis, J.A., Mitry, M.J., Bandres, M.A., Ruiz, I., McAuley, K.P., Cottrell, D.M., "Generation of accelerating Airy and accelerating parabolic beams using phase-only patterns", Appl. Opt. 48(17), 3170-3176 (2009).
21. Lopez-Mariscal, C. and Gutierrez-Vega, J.C., "The generation of nondiffracting beams using inexpensive computer-generated holograms", Am. J. o. Phys. 75(1), 36-42 (2007).
22. Roichman, Y., "Extended optical traps by shape-phase holography", US patent, US7 491 928 B2 (2009).
23. Schonbrun, E., Piestun, R., Jordan, P., Cooper, J., Wulff, K., Courtial, J., and Padgett, M., "3d interferometric optical tweezers using a single spatial light modulator", Opt. Express 13(10), 3777-3786 (2005).
24. Fleischer, J., Bartal, G., Cohen, O., Schwartz, T., Manela, O., Freedman, B., Segev, M., Buljan, H., and Efremidis, N.K., "Spatial photonics in nonlinear waveguide arrays", Opt. Express 13(6), 1780-1796 (2005).
25. Lederer, F., Stegeman, G.I., Christodoulides, D.N., Assanto, G., Segev, M., and Silberberg, Y., "Discrete solitons in optics", Phys. Lett. 463(1), 1-126 (2008).
26. Maruo, S., Nakamura, O., and Kawata, S., "Three-dimensional microfabrication with two-photon-absorbed photopolymerization", Opt. Lett. 22(2), 132-134 (1997).
27. Berger, V., Gauthier-Lafaye, O., and Costard, E., "Photonic band gaps and holography", J. of Appl. Phys. 82(1), 60-64 (1997).
28. Efremidis, N.K., Sears, S., Christodoulides, D.N., Fleischer, J.W., and Segev, M., "Discrete solitons in photorefractive optically induced photonic lattices", Phys. Rev. E 66(4), 046602 (2002).
29. Fleischer, J.W., Segev, M., Efremidis, N.K., and Christodoulides, D.N., "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices", Nature 422(6928), 147-150 (2003).
30. Desyatnikov, A.S., Neshev, D.N., Kivshar, Y.S., Sagemerten, N., Träger, D., Jägers, J., Denz, C., and Kartashov, Y.V., "Nonlinear photonic lattices in anisotropic nonlocal self-focusing media", Opt. Lett, 30(8), 869-871 (2005).
31. Rose, P., Boguslawski, M., and Denz, C., "Nonlinear lattice structures based on families of complex nondiffracting beams", ArXiv e-prints, arXiv:1111.5543v1 (2011).
32. Schnars, U. and Jüptner, W.P.O., "Digital recording and numerical reconstruction of holograms", Measurement Science and Technology 13(9), R85 (2002).
33. Jian-Lin, Z., Peng, Z., Jian-Bo, Z. De-Xing, Y., Dong-Sheng, Y. and En-Pu, L., "Visualizations of light-induced refractive index changes in photorefractive crystals employing digital holography", Chinese Physics Letters 20(10), 1748 (2003).