Due to their immunity to diffraction, Bessel light modes potentially offer advantages in various applications. However, they do exhibit significant intensity variations along their axial propagation length which hampers their applicability. In this paper we present a technique to generate Bessel beams with a tunable axial intensity within the accessible range of spatial frequencies. The beam may be engineered to have a constant intensity along its propagation length. Finally, we demonstrate how one can form a Bessel beam with a varying propagation constant along its axial extent which results in a tunable scaling of its lateral cross-section.

© 2009 Optical Society of America

1. J. Durnin, J. J. Miceli, and J. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]
2. J. Durnin, "Exact solutions for nondifracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-641 (1987). [CrossRef]
3. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, "Observation of Accelerating Airy Beams," Phys. Rev. Lett. 99, 213901 (2007). [CrossRef]
4. J. Baumgartl, M. Mazilu, and K. Dholakia, "Optically mediated particle clearing using Airy wavepackets," Nature Photonics 2, 675-678 (2008). [CrossRef]
5. M. A. Bandres, J. C. Gutiérrez-Vega, and S. Chávez-Cerda, "Parabolic nondiffracting optical wave fields," Opt. Lett. 29, 44-46 (2004). [CrossRef] [PubMed]
6. T. Čižmár, V. Garcés-Chávez, K. Dholakia, and P. Zemánek, "Optical conveyor belt for delivery of submicron objects," Appl. Phys. Lett. 86, 174,101:1-3 (2005).
7. 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]
8. V. Karásek T. Čižmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K . Dholakia, "Long-range onedimensional longitudinal optical binding," Phys. Rev. Lett. 101, 143601 (2008). [CrossRef] [PubMed]
9. X. Tsampoula, V. Garcés-Chávez, M. Comrie, D. J. Stevenson, B. Agate, C. T. A. Brown, F. Gunn-Moore, and K. Dholakia, "Femtosecond cellular transfection using a nondiffracting light beam," Appl. Phys. Lett. 91, 053902 (2007). [CrossRef]
10. K.-S. Lee and J. P. Rolland, "Bessel beam spectral-domain high-resolution optical coherence tomography with micro-optic axicon providing extended focusing range," Opt. Lett. 33, 1696-1698 (2008). [CrossRef] [PubMed]
11. P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003). [CrossRef]
12. P. Dufour, M. Piché, Y. D. Koninck, and N. McCarthy, "Two-photon excitation fluorescence microscopy with a high depth of field using an axicon," Appl. Opt. 45, 9246-9252 (2006). [CrossRef] [PubMed]
13. Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998). [CrossRef]
14. O. Brzobohatý, T. Čižmár, and P. Zemánek, "High quality quasi-Bessel beam generated by round-tip axicon," Opt. Express 16, 12688-12700 (2008).
15. T. Čižmár, V. Kollárová, 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]
16. V. Jarutis, R. Paškauskas, and A. Stabinis, "Focusing of Laguerre-Gaussian beams by axicon," Opt. Commun. 184, 105-112 (2000). [CrossRef]
17. M. Honkanen and J. Turunen, "Tandem systems for efficient generation of uniform-axial-intensity Bessel fields," Opt. Commun. 154, 368 - 375 (1998). [CrossRef]
18. M. Pasienski and B. DeMarco, "A high-accuracy algorithm for designing arbitrary holographic atom traps," Opt. Express 16, 2176-2190 (2008). [CrossRef] [PubMed]
19. R. Gerchberg and W. Saxton, "A practical algorithm for the determination of the phase from image and diffraction plane pictures," Optik 35, 237-246 (1972).
20. D. Palima, C. A. Alonzo, P. J. Rodrigo, and J. Glückstad, "Generalized phase contrast matched to Gaussian illumination," Opt. Express 15, 11971-11977 (2007). [CrossRef] [PubMed]

Appl. Opt.

• P. Dufour, M. Piché, Y. D. Koninck, and N. McCarthy, "Two-photon excitation fluorescence microscopy with a high depth of field using an axicon," Appl. Opt. 45, 9246-9252 (2006). [CrossRef] [PubMed]

Appl. Phys. Lett.

• X. Tsampoula, V. Garcés-Chávez, M. Comrie, D. J. Stevenson, B. Agate, C. T. A. Brown, F. Gunn-Moore, and K. Dholakia, "Femtosecond cellular transfection using a nondiffracting light beam," Appl. Phys. Lett. 91, 053902 (2007). [CrossRef]

J. Opt. Soc. Am. A

• J. Durnin, "Exact solutions for nondifracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-641 (1987). [CrossRef]

Nature

• 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]

Nature Photonics

• J. Baumgartl, M. Mazilu, and K. Dholakia, "Optically mediated particle clearing using Airy wavepackets," Nature Photonics 2, 675-678 (2008). [CrossRef]

Opt. Commun.

• Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998). [CrossRef]
• V. Jarutis, R. Paškauskas, and A. Stabinis, "Focusing of Laguerre-Gaussian beams by axicon," Opt. Commun. 184, 105-112 (2000). [CrossRef]
• M. Honkanen and J. Turunen, "Tandem systems for efficient generation of uniform-axial-intensity Bessel fields," Opt. Commun. 154, 368 - 375 (1998). [CrossRef]
• P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003). [CrossRef]

Opt. Express

• D. Palima, C. A. Alonzo, P. J. Rodrigo, and J. Glückstad, "Generalized phase contrast matched to Gaussian illumination," Opt. Express 15, 11971-11977 (2007). [CrossRef] [PubMed]
• M. Pasienski and B. DeMarco, "A high-accuracy algorithm for designing arbitrary holographic atom traps," Opt. Express 16, 2176-2190 (2008). [CrossRef] [PubMed]
• O. Brzobohatý, T. Čižmár, and P. Zemánek, "High quality quasi-Bessel beam generated by round-tip axicon," Opt. Express 16, 12688-12700 (2008).
• T. Čižmár, V. Kollárová, 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]

Opt. Lett.

• M. A. Bandres, J. C. Gutiérrez-Vega, and S. Chávez-Cerda, "Parabolic nondiffracting optical wave fields," Opt. Lett. 29, 44-46 (2004). [CrossRef] [PubMed]
• K.-S. Lee and J. P. Rolland, "Bessel beam spectral-domain high-resolution optical coherence tomography with micro-optic axicon providing extended focusing range," Opt. Lett. 33, 1696-1698 (2008). [CrossRef] [PubMed]

Optik

• R. Gerchberg and W. Saxton, "A practical algorithm for the determination of the phase from image and diffraction plane pictures," Optik 35, 237-246 (1972).

Phys. Rev. Lett.

• V. Karásek T. Čižmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K . Dholakia, "Long-range onedimensional longitudinal optical binding," Phys. Rev. Lett. 101, 143601 (2008). [CrossRef] [PubMed]
• G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, "Observation of Accelerating Airy Beams," Phys. Rev. Lett. 99, 213901 (2007). [CrossRef]
• J. Durnin, J. J. Miceli, and J. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]

Other

• T. Čižmár, V. Garcés-Chávez, K. Dholakia, and P. Zemánek, "Optical conveyor belt for delivery of submicron objects," Appl. Phys. Lett. 86, 174,101:1-3 (2005).

Click here to see a list of articles that cite this paper

Related Journal Articles

• Hologram optimization for SLM-based reconstruction with regard to polarization effects (OE)
• Double waveguide couplers produced by simultaneous femtosecond writing (OE)
• 1.5% root-mean-square flat-intensity laser beam formed using a binary-amplitude spatial light modulator (AO)
• Phase-shifting Gabor holography (OL)
• High-precision laser beam shaping using a binary-amplitude spatial light modulator (AO)

Related Conference Papers

• Digital Holographic Encryption Using Electrically Addressed Phase Key Masks
• Generating Function Approach for the Synthesis of Multichannel Spatial Filters by Diffractive Optics
• Few-cycle highly localized wavepackets on demand with superior temporal transfer
• Lensless holographic volume imaging and phase reconstruction with diffuse illumination
• Optical trapping with Super-Gaussian beams