Mirror laser airy beams
S.N. Khonina
, S.G.Volotovsky

Image Processing Systems Institute of the RAS,
Samara State Aerospace University

Full text of article: Russian language.

Abstract:
The new type of the limited Airy beams, representing superposition of truncated on n-th zero (or extremum) displaced and mirror reflected Airy functions, is considered. Distribution of such mirror Airy beams smoothly sewed in a place of truncation, reminds even and odd Hermite-Gaussian modes. However they do not keep the shape in a far zone, and their spectrum is described by cosine function of nonlinear argument (with cubic and linear dependence). At propagation mirror Airy beams show symmetric acceleration in opposite sides, i.e. the divergence proportional to a square of the passed distance.

Key words:
laser modes, laser Airy beams, spectral properties, a deviation from rectilinear propagation and acceleration, mirror Airy beams.

References:

  1. Berry .V., Balazs N.L. Nonspreding wave packets, Am. J. Phys. 47(3), 264-267 (1979).
  2. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1972).
  3. Siviloglou G.A., Christodoulides D.N., Accelerating finite energy Airy beams, Opt. Letters 32(8), 979-981 (2007).
  4. Banders M.A., Gutierrez-Vega J.C., Airy-Gauss beams and their transformation by paraxial optical systems, Opt. Express 15(25), 16719-16728 (2007).
  5. Khonina S.N., Volotovsky S.G., Bounded 1D Airy beams: laser fan, Computer Optics, 32(2), 168-174 (2008). – (in Russian).
  6. Marhic M. E., Kwan L. I., Epstein M., Whispering-Gallery C02 Laser, IEEE J. Quant. Electr. QE-15(6), 487-490 (1979).
  7. Grossman J. G., Casperson L. W., and Stafsudd O. M., Radio-frequency-excited carbon dioxide metal waveguide laser, App. Opt. 22(9), 1298-1305 (1983).
  8. Al-Mashaabi F. S. and Casperson L. W., Direct current-excited CW CO2 metal waveguide laser, App. Opt. 28(10), 1899-1903 (1989).
  9. Khonina S.N., Skidanov R.V., Moiseev O.Yu., Airy laser beams generation by binary-coded diffractive optical elements for microparticles manipulation, Computer Optics, 33(2), 138-146 (2009). – (in Russian).
  10. J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2, 675–678 (2008).
  11. J. Baumgartl, G. Hannappel, D. J. Stevenson, D. Day, M. Gu, and K. Dholakia, “Optical redistribution of microparticles and cells between microcells,” Lab on a Chip 9, 1334–1336 (2009).
  12. I. M. Besieris and A. M. Shaarawi, “A note on an accelerating finite energy Airy beam,” Opt. Lett. 32, 2447-2449 (2007).
  13. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99, 213901 (2007).
  14. Saari, P. Laterally accelerating Airy pulses / Peeter Saari // Optics Express. – 2008. – Vol. 16, No. 14. – P. 10303-10308.
  15. Bandres, M.A. Accelerating beams / Miguel A. Bandres // Optics Letters. – 2009. – Vol. 34, No. 24. – P. 3791-3793.
  16. Davis, J.A. Generation of accelerating Airy and accelerating parabolic beams using phase-only patterns / Jeffrey A. Davis, Mark J. Mitry, Miguel A. Bandres, Isaac Ruiz, Kevin P. McAuley, and Don M. Cottrell // Applied Optics. – 2009. – Vol. 48, No. 17. – P. 3170-3176.
  17. Grossman, J.G. Propagation of Airy-Hermite-Gaussian waveguide modes in free space / Jonathan G. Grossman, Lee W. Casperson, Oscar M. Stafsudd, and Leroy V. Sutter, Jr. // Applied Optics. – 1984. – Vol. 23, No. 1. – P. 48-52.
  18. Carretero, L. Nonparaxial diffraction analysis of Airy and SAiry beams / Luis Carretero, Pablo Acebal, Salvador Blaya, Celia Garcia, Antonio Fimia, Roque Madrigal, Angel Murciano // Optics Express. – 2009. – Vol. 17, No. 25. – P. 22432- 22441.
  19. Siegman A. E. Lasers. Chapter 16. University Science Books (1986).
  20. Yariv, A. Quantum Electronics (3rd ed.) – Wiley, 1989

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