Abstract

Using computer simulations we explore the dynamics of nonlinear pulsed Bessel-like beams arising from axicon-focused Gaussian beams and circularly apodized beams propagating in air. These pulses exhibit similar self-action. We also note that noninear behavior can occur for these pulses in the absence of significant plasma density. This is especially interesting in light of recent experimental observations of self-guiding without plasma.

© 2007 Optical Society of America

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2007 (1)

D. Roskey, M. Kolesik, J. Moloney, and E. Wright, "The role of linear power partitioning in filamentation," Appl. Phys. B 86, 249-258 (2007).
[CrossRef]

2006 (2)

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73(056612) (2006).
[CrossRef]

T. Grow, A. Ishaaya, L. Vuong, A. Gaeta, N. Gavish, and G. Fibich, "Collapse dynamics of super-Gaussian beams," Opt. Express 14, 5468-5475 (2006).
[CrossRef]

2005 (5)

P. Polesana, P. Faccio, D. Di Trapani, A. Dubietis, A. Piskarskas, A. Couairon, and M. Porras, "High localization, focal depth and contrast by means of nonlinear Bessel Beams," Opt. Express 13, 6160-6167 (2005).
[CrossRef]

C. Ruiz, J. San Román, C. Méndez, V. Diáz, L. Plaja, I. Arias, and L. Roso, "Observation of Spontaneous Self-Channeling of Light in Air below the Collapse Threshold," Phys. Rev. Lett. 95(053905) (2005).
[CrossRef]

K. Cook, A. Kar, and R. Lamb, "White-light filaments induced by diffraction effects," Optics Express 13, 2025-2031 (2005).
[CrossRef]

K. Dholakia and D. McGloin, "Bessel beams: Diffraction in a new light," Contemporary Physics 46, 15-28 (2005).

V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabinis, "Self-action of Bessel light beams in medium with large nonlinearity," Opt. Commun. 257, 139-145 (2005).

2004 (2)

M. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear Unbalanced Bessel Beams: Stationary Conical Waves Supported by Nonlinear Losses," Phys. Rev. Lett. 93(153902) (2004).

G. Mechain, A. Couairon, M. Franco, B. Prode, and A. Mysyrowicz, "Organizing multiple femtosecond filaments in air," Phys. Rev. Lett. 93(035003) (2004).
[CrossRef]

2003 (1)

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003).
[CrossRef]

2001 (1)

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevivcius, A. Stabinis, and V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

2000 (1)

J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 297-301 (2000).
[CrossRef]

1998 (3)

1997 (1)

1996 (2)

J. Ranka, R. Schirmer, and A. Gaeta, "Observation of pulse splitting in nonlinear dispersive media," Phys. Rev. Lett. 77, 3783-3786 (1996).
[CrossRef]

E. Nibbering, P. Curley, G. Grillon, P. B.S., M. Franco, F. Salin, and A. Mysyrowicz, "Conical emission from self-guided femtosecond pulses in air," Opt. Lett. 21, 62-64 (1996).

1995 (1)

1992 (2)

1987 (1)

J. Durnin, J. J. Miceli, and J. Eberly, "Diffraction-Free Beams," Phys. Rev. Lett 58, 1499-1501 (1987).
[CrossRef]

1975 (1)

J. Marburger, "Self-Focusing: Theory," Prog. Quant. Electr. 4, 35-110 (1975).
[CrossRef]

Appl. Phys. B (1)

D. Roskey, M. Kolesik, J. Moloney, and E. Wright, "The role of linear power partitioning in filamentation," Appl. Phys. B 86, 249-258 (2007).
[CrossRef]

Contemporary Physics (1)

K. Dholakia and D. McGloin, "Bessel beams: Diffraction in a new light," Contemporary Physics 46, 15-28 (2005).

J. Opt. Soc. Am. B (1)

Opt. Commun. (5)

Z. Bouchal, J. Wagner, and M. Chlup, "Self-reconstruction of a distorted nondiffracting beam," Opt. Commun. 151, 207-211 (1998).
[CrossRef]

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevivcius, A. Stabinis, and V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

V. Pyragaite, K. Regelskis, V. Smilgevicius, and A. Stabinis, "Self-action of Bessel light beams in medium with large nonlinearity," Opt. Commun. 257, 139-145 (2005).

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003).
[CrossRef]

J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 297-301 (2000).
[CrossRef]

Opt. Express (2)

Opt. Lett. (6)

Optics Express (1)

K. Cook, A. Kar, and R. Lamb, "White-light filaments induced by diffraction effects," Optics Express 13, 2025-2031 (2005).
[CrossRef]

Phys. Rev. E (1)

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73(056612) (2006).
[CrossRef]

Phys. Rev. Lett (1)

J. Durnin, J. J. Miceli, and J. Eberly, "Diffraction-Free Beams," Phys. Rev. Lett 58, 1499-1501 (1987).
[CrossRef]

Phys. Rev. Lett. (4)

J. Ranka, R. Schirmer, and A. Gaeta, "Observation of pulse splitting in nonlinear dispersive media," Phys. Rev. Lett. 77, 3783-3786 (1996).
[CrossRef]

C. Ruiz, J. San Román, C. Méndez, V. Diáz, L. Plaja, I. Arias, and L. Roso, "Observation of Spontaneous Self-Channeling of Light in Air below the Collapse Threshold," Phys. Rev. Lett. 95(053905) (2005).
[CrossRef]

M. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear Unbalanced Bessel Beams: Stationary Conical Waves Supported by Nonlinear Losses," Phys. Rev. Lett. 93(153902) (2004).

G. Mechain, A. Couairon, M. Franco, B. Prode, and A. Mysyrowicz, "Organizing multiple femtosecond filaments in air," Phys. Rev. Lett. 93(035003) (2004).
[CrossRef]

Prog. Quant. Electr. (1)

J. Marburger, "Self-Focusing: Theory," Prog. Quant. Electr. 4, 35-110 (1975).
[CrossRef]

Other (2)

R. Boyd, Nonlinear Optics (Academic Press,Inc., 1991).

P. DeVries, A First Course in Computational Physics (John Wiley and Sons, Inc., 1994).

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