Abstract

By spectral analysis, and using joint time–frequency representations, we present the theoretical basis to design invariant bandlimited Airy pulses with an arbitrary degree of robustness and an arbitrary range of single-mode fiber chromatic dispersion. The numerically simulated examples confirm the theoretically predicted pulse partial invariance in the propagation of the pulse in the fiber.

© 2012 IEEE

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  1. M. V. Berry, N. L. Balazs, "Nonspreading wave packets," Amer. J. Phys. 47, 264-267 (1979).
  2. G. Siviloglou, D. N. Christodoulides, "Accelerating finite energy Airy beams," Opt. Lett. 32, 979-981 (2007).
  3. G. Siviloglou, J. Brokey, A. Dogariu, D. N. Christodoulides, "Observation of accelerating Airy beams," Phys. Rev. Lett. 99, 213901-1-213901-4 (2007).
  4. J. Baumgartl, M. Mazilu, K. Dholakia, "Optically mediated particle clearing using Airy wavepackets," Nature Photon. 2, 675-678 (2008).
  5. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, D. N. Christodoulides, "Curved plasma channel generation using ultraintense Airy beams," Science 324, 229-232 (2009).
  6. I. Dolev, T. Ellenbogen, A. Arie, "Switching the acceleration direction of Airy beams by a nonlinear optical process," Opt. Lett. 35, 1581-1583 (2010).
  7. A. Chong, W. H. Renninger, D. N. Christodoulides, F. W. Wise, "Airy–Bessel wave packets as versatile linear light bullets," Nature Photon. 4, 103-106 (2010).
  8. D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, "Spatiotemporal Airy light bullets in the linear and nonlinear regimes," Phys. Rev. Lett. 105, 253901-1-253901-4 (2010).
  9. M. A. Preciado, M. A. Muriel, Spain Patent Es2364935 (2010).
  10. O. Vallée, M. Soares, Airy Functions and Applications to Physics (Imperial College Press, 2004).
  11. J. Azaña, M. Muriel, "Study of optical pulses-fiber gratings interaction by means of joint time-frequency signal representations," J. Lightw. Technol. 21, 2931-2941 (2003).
  12. J. Azaña, "Time-frequency (Wigner) analysis of linear and nonlinear pulse propagation in optical fibers," EURASIP J. Appl. Signal Process. 2005, 1554-1565 (2005).
  13. P. Petropoulos, M. Ibsen, A. D. Ellis, D. J. Richardson, "Rectangular pulse generation based on pulse reshaping using a superstructured fiber Bragg grating," J. Lightw. Technol. 19, 746-752 (2001).
  14. A. M. Weiner, "Femtosecond optical pulse shaping and processing," Prog. Quantum Electron. 19, 161-235 (1995).
  15. M. Ibsen, R. Feced, "Fiber Bragg gratings for pure dispersion-slope compensation," Opt. Lett. 28, 980-982 (2003).

2010 (3)

I. Dolev, T. Ellenbogen, A. Arie, "Switching the acceleration direction of Airy beams by a nonlinear optical process," Opt. Lett. 35, 1581-1583 (2010).

A. Chong, W. H. Renninger, D. N. Christodoulides, F. W. Wise, "Airy–Bessel wave packets as versatile linear light bullets," Nature Photon. 4, 103-106 (2010).

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, "Spatiotemporal Airy light bullets in the linear and nonlinear regimes," Phys. Rev. Lett. 105, 253901-1-253901-4 (2010).

2009 (1)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, D. N. Christodoulides, "Curved plasma channel generation using ultraintense Airy beams," Science 324, 229-232 (2009).

2008 (1)

J. Baumgartl, M. Mazilu, K. Dholakia, "Optically mediated particle clearing using Airy wavepackets," Nature Photon. 2, 675-678 (2008).

2007 (2)

G. Siviloglou, D. N. Christodoulides, "Accelerating finite energy Airy beams," Opt. Lett. 32, 979-981 (2007).

G. Siviloglou, J. Brokey, A. Dogariu, D. N. Christodoulides, "Observation of accelerating Airy beams," Phys. Rev. Lett. 99, 213901-1-213901-4 (2007).

2005 (1)

J. Azaña, "Time-frequency (Wigner) analysis of linear and nonlinear pulse propagation in optical fibers," EURASIP J. Appl. Signal Process. 2005, 1554-1565 (2005).

2003 (2)

M. Ibsen, R. Feced, "Fiber Bragg gratings for pure dispersion-slope compensation," Opt. Lett. 28, 980-982 (2003).

J. Azaña, M. Muriel, "Study of optical pulses-fiber gratings interaction by means of joint time-frequency signal representations," J. Lightw. Technol. 21, 2931-2941 (2003).

2001 (1)

P. Petropoulos, M. Ibsen, A. D. Ellis, D. J. Richardson, "Rectangular pulse generation based on pulse reshaping using a superstructured fiber Bragg grating," J. Lightw. Technol. 19, 746-752 (2001).

1995 (1)

A. M. Weiner, "Femtosecond optical pulse shaping and processing," Prog. Quantum Electron. 19, 161-235 (1995).

1979 (1)

M. V. Berry, N. L. Balazs, "Nonspreading wave packets," Amer. J. Phys. 47, 264-267 (1979).

Amer. J. Phys. (1)

M. V. Berry, N. L. Balazs, "Nonspreading wave packets," Amer. J. Phys. 47, 264-267 (1979).

EURASIP J. Appl. Signal Process. (1)

J. Azaña, "Time-frequency (Wigner) analysis of linear and nonlinear pulse propagation in optical fibers," EURASIP J. Appl. Signal Process. 2005, 1554-1565 (2005).

J. Lightw. Technol. (1)

P. Petropoulos, M. Ibsen, A. D. Ellis, D. J. Richardson, "Rectangular pulse generation based on pulse reshaping using a superstructured fiber Bragg grating," J. Lightw. Technol. 19, 746-752 (2001).

J. Lightw. Technol. (1)

J. Azaña, M. Muriel, "Study of optical pulses-fiber gratings interaction by means of joint time-frequency signal representations," J. Lightw. Technol. 21, 2931-2941 (2003).

Nature Photon. (2)

J. Baumgartl, M. Mazilu, K. Dholakia, "Optically mediated particle clearing using Airy wavepackets," Nature Photon. 2, 675-678 (2008).

A. Chong, W. H. Renninger, D. N. Christodoulides, F. W. Wise, "Airy–Bessel wave packets as versatile linear light bullets," Nature Photon. 4, 103-106 (2010).

Opt. Lett. (1)

I. Dolev, T. Ellenbogen, A. Arie, "Switching the acceleration direction of Airy beams by a nonlinear optical process," Opt. Lett. 35, 1581-1583 (2010).

Opt. Lett. (2)

Phys. Rev. Lett. (1)

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, "Spatiotemporal Airy light bullets in the linear and nonlinear regimes," Phys. Rev. Lett. 105, 253901-1-253901-4 (2010).

Phys. Rev. Lett. (1)

G. Siviloglou, J. Brokey, A. Dogariu, D. N. Christodoulides, "Observation of accelerating Airy beams," Phys. Rev. Lett. 99, 213901-1-213901-4 (2007).

Prog. Quantum Electron. (1)

A. M. Weiner, "Femtosecond optical pulse shaping and processing," Prog. Quantum Electron. 19, 161-235 (1995).

Science (1)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, D. N. Christodoulides, "Curved plasma channel generation using ultraintense Airy beams," Science 324, 229-232 (2009).

Other (2)

M. A. Preciado, M. A. Muriel, Spain Patent Es2364935 (2010).

O. Vallée, M. Soares, Airy Functions and Applications to Physics (Imperial College Press, 2004).

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