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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 5 — May. 1, 2007
  • pp: 1030–1036

Demonstration of a horseshoe-shaped longitudinal focal profile

P. Brijesh, Terrance J. Kessler, Jonathan D. Zuegel, and David D. Meyerhofer  »View Author Affiliations

JOSA B, Vol. 24, Issue 5, pp. 1030-1036 (2007)

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The three-dimensional laser focal region has been spatially shaped so that in the focal plane the transverse intensity distribution is centrally peaked, whereas at multiple defocused planes along the laser propagation direction, the distribution is annular. The longitudinal profile of such a shaped laser focal volume is approximately in the form of a “horseshoe.” The horseshoe-shaped longitudinal profile was realized experimentally from a single laser beam by the incoherent coaxial combination of Laguerre–Gaussian and Gaussian modes generated from segmented optical elements. The ponderomotive forces associated with this three-dimensional focal-intensity distribution can potentially generate a quasi-collimated, forward-directed bunch of electrons from a low-density gas target at high laser intensities.

© 2007 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(100.5090) Image processing : Phase-only filters
(140.3300) Lasers and laser optics : Laser beam shaping
(140.7010) Lasers and laser optics : Laser trapping
(170.4520) Medical optics and biotechnology : Optical confinement and manipulation
(220.4830) Optical design and fabrication : Systems design

ToC Category:
Lasers and Laser Optics

Original Manuscript: October 31, 2006
Manuscript Accepted: December 26, 2006
Published: April 17, 2007

P. Brijesh, Terrance J. Kessler, Jonathan D. Zuegel, and David D. Meyerhofer, "Demonstration of a horseshoe-shaped longitudinal focal profile," J. Opt. Soc. Am. B 24, 1030-1036 (2007)

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  1. H. A. H. Boot and R. B. R.-S.-Harvie, "Charge particles in a non-uniform radio-frequency field," Nature 180, 1187 (1957). [CrossRef]
  2. A. V. Gaponov and M. A. Miller, "Potential wells for charged particles in a high-frequency electro-magnetic field," Sov. Phys. JETP 34, 168-169 (1958).
  3. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, 1959), p. 94.
  4. G. A. Askar'yan, "Effects of the gradient of a strong electromagnetic beam on electrons and atoms," Sov. Phys. JETP 15, 1088-1090 (1962).
  5. T. W. B. Kibble, "Refraction of electron beams by intense electromagnetic waves," Phys. Rev. Lett. 16, 1054-1056 (1966). [CrossRef]
  6. P. X. Wang, Y. K. Ho, X. Q. Yuan, Q. Kong, N. Cao, L. Shao, A. M. Sessler, E. Esarey, E. Moshkovich, Y. Nishida, N. Yugami, H. Ito, J. X. Wang, and S. Scheid, "Characteristics of laser-driven electron acceleration in vacuum," J. Appl. Phys. 91, 856-866 (2002). [CrossRef]
  7. S. Atzeni and J. Meyer-ter-Vehn, The Physics of Inertial Fusion: Beam Plasma Interaction, Hydrodynamics, Hot Dense Matter, International Series of Monographs on Physics (Clarendon, 2004). [PubMed]
  8. S. Augst, D. Strickland, D. D. Meyerhofer, S. L. Chin, and J. H. Eberly, "Tunneling ionization of noble gases in a high-intensity laser field," Phys. Rev. Lett. 63, 2212-2215 (1989). [CrossRef] [PubMed]
  9. S. Augst, D. D. Meyerhofer, D. Strickland, and S. L. Chin, "Laser ionization of noble gases by Coulomb-barrier suppression," J. Opt. Soc. Am. B 8, 858-867 (1991). [CrossRef]
  10. P. B. Corkum, N. H. Burnett, and F. Brunel, "Multiphoton ionization in large ponderomotive potentials," in Atoms in Intense Laser Fields, M.Gavrila, ed. (Academic, 1992), Supplement 1, pp. 109-137.
  11. C. I. Moore, "Observation of the transition from Thomson to Compton scattering in optical multiphoton interactions with electrons," Ph.D. thesis (University of Rochester, 1995).
  12. D. Batani, C. Bleu, and Th. Löwer, "Design, simulation and application of phase plates," Eur. Phys. J. D 19, 231-243 (2002). [CrossRef]
  13. C. I. Moore, "Confinement of electrons to the center of a laser focus via the ponderomotive potential," J. Mod. Opt. 39, 2171-2178 (1992). [CrossRef]
  14. G. V. Stupakov and M. S. Zolotorev, "Ponderomotive laser acceleration and focusing in vacuum for generation of attosecond electron bunches," Phys. Rev. Lett. 86, 5274-5277 (2001). [CrossRef] [PubMed]
  15. S. Miyazaki, Q. Kong, S. Kawata, and J. Limpouch, "Micro electron bunch generation by intense short pulse laser," J. Phys. D 26, 2878-2882 (2003). [CrossRef]
  16. Q. Kong, S. Miyazaki, S. Kawata, K. Miyauchi, K. Nakajima, S. Masuda, N. Miyanaga, and Y. K. Ho, "Electron bunch acceleration and trapping by the ponderomotive force of an intense short-pulse laser," Phys. Plasmas 10, 4605-4608 (2003). [CrossRef]
  17. S. Miyazaki, S. Kawata, Q. Kong, K. Miyauchi, K. Sakai, S. Hasumi, R. Sonobe, and T. Kikuchi, "Generation of a microelectron beam by an intense short pulse laser in the TEM(l,0) + TEM(0,l) mode in vacuum," J. Phys. D 38, 1665-1673 (2005). [CrossRef]
  18. P. X. Wang, Ch. X. Tang, and Sh. J. Huang, "Multimode combined intense laser-induced electron acceleration and violent bunch compression," Appl. Phys. Lett. 82, 2752-2754 (2003). [CrossRef]
  19. Q. Kong, S. Miyazaki, S. Kawata, K. Miyauchi, K. Sakai, Y. K. Ho, K. Nakajima, N. Miyanaga, J. Limpouch, and A. A. Andreev, "Electron bunch trapping and compression by an intense focused pulsed laser," Phys. Rev. E 69, 056502 (2004). [CrossRef]
  20. S. N. Khonina, V. V. Kotylar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, "The phase rotor filter," J. Mod. Opt. 39, 1147-1154 (1992). [CrossRef]
  21. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994). [CrossRef]
  22. M. S. Soskin and M. V. Vasnetsov, "Singular optics," in Progress in Optics, E.Wolf, ed. (North-Holland, 2001), Vol. 42, Chap. 4, pp. 219-276.
  23. A. Vaziri, G. Weihs, and A. Zeilinger, "Superpositions of the orbital angular momentum for applications in quantum experiments," J. Opt. B: Quantum Semiclassical Opt. 4, S47-S51 (2002). [CrossRef]
  24. M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, "Topological charge and angular momentum of light beams carrying optical vortices," Phys. Rev. A 56, 4064-4075 (1997). [CrossRef]
  25. B. J. Thompson, "Diffraction by semitransparent and phase annuli," J. Opt. Soc. Am. 55, 145-149 (1965). [CrossRef]
  26. J. L. Chaloupka, Y. Fisher, T. J. Kessler, and D. D. Meyerhofer, "Single-beam, ponderomotive-optical trap for free electrons and neutral atoms," Opt. Lett. 22, 1021-1023 (1997). [CrossRef] [PubMed]
  27. J. W. Goodman, Introduction to Fourier Optics, 2nd ed., McGraw-Hill Series in Electrical and Computing Engineering (McGraw-Hill, 1996).
  28. V. Mahajan, "Uniform versus Gaussian beams: a comparison of the effects of diffraction, obscuration, and aberrations," J. Opt. Soc. Am. A 3, 470-485 (1986). [CrossRef]
  29. RPC Photonics, Rochester, NY 14623, (http://www.rpcphotonics.com).
  30. N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, "Laser beams with phase singularities," Opt. Quantum Electron. 24, S951-S962 (1992). [CrossRef]
  31. M. S. Soskin and M. V. Vasnetsov, "Nonlinear singular optics," Pure Appl. Opt. 7, 301-311 (1998). [CrossRef]
  32. V. N. Mahajan, Optical Imaging and Aberrations (SPIE, 1998), Part 1, p. 148.
  33. V. N. Mahajan, Optical Imaging and Aberrations (SPIE, 1998), Part 2, p. 112.
  34. E. Hecht, Schaum's Outline of Theory and Problems of Optics, Schaum's Outline Series (McGraw-Hill, 1975), pp. 69 and 76.

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