Abstract

We report on an approach to generate non-diffractive and non-dispersive Airy3 bullets with enhanced spatio-temporal energy confinement. By appropriately reshaping the initial spectral components in the Fourier domain, the resulting optical bullets show a significant enhancement of their central lobe intensity while exhibiting a reduced spatio-temporal outspread of the surrounding sub-lobes - typical of Airy3 bullets. Numerically, we demonstrate that when propagating in dispersive media within a linear regime, such optimized Airy3 bullets maintain the peculiar properties of their “standard” counterparts, including curved trajectories, non-spreading features and self-healing. We foresee direct applications in novel and non-disruptive optical techniques for imaging, tomography and spatio-temporally resolved spectroscopy.

© 2016 Optical Society of America

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References

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    [Crossref]

2016 (2)

F. Deng and D. Deng, “Three-dimensional localized Airy-Hermite-Gaussian and Airy-Helical-Hermite-Gaussian wave packets in free space,” Opt. Express 24(5), 5478–5486 (2016).
[Crossref]

W.-P. Zhong, M. R. Belić, and Y. Zhang, “Airy-Tricomi-Gaussian compressed light bullets,” Eur. Phys. J. Plus 131(2), 1–8 (2016).
[Crossref]

2015 (3)

B. K. Singh, R. Remez, Y. Tsur, and A. Arie, “Super-Airy beam: self-accelerating beam with intensified main lobe,” Opt. Lett. 40(20), 4703–4706 (2015).
[Crossref] [PubMed]

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

2014 (3)

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “All-optical interconnects using Airy beams,” Opt. Lett. 39(20), 5997–6000 (2014).
[Crossref] [PubMed]

P. Piksarv, A. Valdmann, H. Valtna-Lukner, and P. Saari, “Ultrabroadband Airy light bullets,” Laser Phys. 24(8), 085301 (2014).
[Crossref]

2013 (4)

Y. Hu, M. Li, D. Bongiovanni, M. Clerici, J. Yao, Z. Chen, J. Azaña, and R. Morandotti, “Spectrum to distance mapping via nonlinear Airy pulses,” Opt. Lett. 38(3), 380–382 (2013).
[Crossref] [PubMed]

Y. Hu, D. Bongiovanni, Z. Chen, and R. Morandotti, “Multipath multicomponent self-accelerating beams through spectrum-engineered position mapping,” Phys. Rev. A 88(4), 043809 (2013).
[Crossref]

W.-P. Zhong, M. R. Belić, and T. Huang, “Three-dimensional finite-energy Airy self-accelerating parabolic-cylinder light bullets,” Phys. Rev. A 88(3), 033824 (2013).
[Crossref]

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

2012 (1)

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

2010 (2)

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

2009 (3)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

M. Dallaire, N. McCarthy, and M. Piché, “Spatiotemporal bessel beams: theory and experiments,” Opt. Express 17(20), 18148–18164 (2009).
[Crossref] [PubMed]

2008 (6)

2007 (3)

2005 (2)

2004 (1)

M. A. Porras and P. Di Trapani, “Localized and stationary light wave modes in dispersive media,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066606 (2004).
[Crossref] [PubMed]

2003 (2)

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

J. G. Fujimoto, “Optical coherence tomography for ultrahigh resolution in vivo imaging,” Nat. Biotechnol. 21(11), 1361–1367 (2003).
[Crossref] [PubMed]

2002 (1)

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

2000 (1)

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71(5), 1929–1960 (2000).
[Crossref]

1990 (1)

1979 (1)

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Abdollahpour, D.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

Ahlgren, U.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

Akturk, S.

Arie, A.

B. K. Singh, R. Remez, Y. Tsur, and A. Arie, “Super-Airy beam: self-accelerating beam with intensified main lobe,” Opt. Lett. 40(20), 4703–4706 (2015).
[Crossref] [PubMed]

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

Azaña, J.

Balazs, N. L.

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Baldock, R.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

Bandres, M. A.

Baumgartl, J.

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

Belic, M. R.

W.-P. Zhong, M. R. Belić, and Y. Zhang, “Airy-Tricomi-Gaussian compressed light bullets,” Eur. Phys. J. Plus 131(2), 1–8 (2016).
[Crossref]

W.-P. Zhong, M. R. Belić, and T. Huang, “Three-dimensional finite-energy Airy self-accelerating parabolic-cylinder light bullets,” Phys. Rev. A 88(3), 033824 (2013).
[Crossref]

Berry, M. V.

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Besieris, I. M.

Bongiovanni, D.

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

Y. Hu, D. Bongiovanni, Z. Chen, and R. Morandotti, “Multipath multicomponent self-accelerating beams through spectrum-engineered position mapping,” Phys. Rev. A 88(4), 043809 (2013).
[Crossref]

Y. Hu, M. Li, D. Bongiovanni, M. Clerici, J. Yao, Z. Chen, J. Azaña, and R. Morandotti, “Spectrum to distance mapping via nonlinear Airy pulses,” Opt. Lett. 38(3), 380–382 (2013).
[Crossref] [PubMed]

Broky, J.

Chen, Z.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

Y. Hu, D. Bongiovanni, Z. Chen, and R. Morandotti, “Multipath multicomponent self-accelerating beams through spectrum-engineered position mapping,” Phys. Rev. A 88(4), 043809 (2013).
[Crossref]

Y. Hu, M. Li, D. Bongiovanni, M. Clerici, J. Yao, Z. Chen, J. Azaña, and R. Morandotti, “Spectrum to distance mapping via nonlinear Airy pulses,” Opt. Lett. 38(3), 380–382 (2013).
[Crossref] [PubMed]

Chong, A.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

Christodoulides, D. N.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Ballistic dynamics of Airy beams,” Opt. Lett. 33(3), 207–209 (2008).
[Crossref] [PubMed]

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16(17), 12880–12891 (2008).
[Crossref] [PubMed]

G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams,” Opt. Lett. 32(8), 979–981 (2007).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

Cižmár, T.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Clerici, M.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Y. Hu, M. Li, D. Bongiovanni, M. Clerici, J. Yao, Z. Chen, J. Azaña, and R. Morandotti, “Spectrum to distance mapping via nonlinear Airy pulses,” Opt. Lett. 38(3), 380–382 (2013).
[Crossref] [PubMed]

Coll-Lladó, C.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Conti, C.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Cottrell, D. M.

Couairon, A.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Courvoisier, F.

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

Dalgarno, H. I.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Dallaire, M.

Davidson, D.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

Davis, J. A.

Deng, D.

Deng, F.

Dholakia, K.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

Di Trapani, P.

M. A. Porras and P. Di Trapani, “Localized and stationary light wave modes in dispersive media,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066606 (2004).
[Crossref] [PubMed]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Dogariu, A.

Dudley, J. M.

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

Faccio, D.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Ferrier, D. E.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Froehly, L.

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

Fujimoto, J. G.

J. G. Fujimoto, “Optical coherence tomography for ultrahigh resolution in vivo imaging,” Nat. Biotechnol. 21(11), 1361–1367 (2003).
[Crossref] [PubMed]

Furfaro, L.

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

Gabolde, P.

Gover, A.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

Gu, X.

Gunn-Moore, F. J.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Hecksher-Sørensen, J.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

Hill, B.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

Hu, Y.

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Y. Hu, D. Bongiovanni, Z. Chen, and R. Morandotti, “Multipath multicomponent self-accelerating beams through spectrum-engineered position mapping,” Phys. Rev. A 88(4), 043809 (2013).
[Crossref]

Y. Hu, M. Li, D. Bongiovanni, M. Clerici, J. Yao, Z. Chen, J. Azaña, and R. Morandotti, “Spectrum to distance mapping via nonlinear Airy pulses,” Opt. Lett. 38(3), 380–382 (2013).
[Crossref] [PubMed]

Huang, T.

W.-P. Zhong, M. R. Belić, and T. Huang, “Three-dimensional finite-energy Airy self-accelerating parabolic-cylinder light bullets,” Phys. Rev. A 88(3), 033824 (2013).
[Crossref]

Jacquot, M.

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

Jedrkiewicz, O.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Kolesik, M.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

Lacourt, P. A.

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

Lassonde, P.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Légaré, F.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Lereah, Y.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

Li, M.

Lilach, Y.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

Malomed, B. A.

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B. 7(5), R53–R72 (2005).
[Crossref]

Marsal, N.

Marti-Panameño, E. A.

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

Mathis, A.

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

Mazilu, M.

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

McCarthy, N.

Mendoza González, G.

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

Mihalache, D.

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B. 7(5), R53–R72 (2005).
[Crossref]

Milián, C.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Mintry, M. J.

Moloney, J.

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

Moloney, J. V.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

Morandotti, R.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

Y. Hu, D. Bongiovanni, Z. Chen, and R. Morandotti, “Multipath multicomponent self-accelerating beams through spectrum-engineered position mapping,” Phys. Rev. A 88(4), 043809 (2013).
[Crossref]

Y. Hu, M. Li, D. Bongiovanni, M. Clerici, J. Yao, Z. Chen, J. Azaña, and R. Morandotti, “Spectrum to distance mapping via nonlinear Airy pulses,” Opt. Lett. 38(3), 380–382 (2013).
[Crossref] [PubMed]

Nylk, J.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Papazoglou, D. G.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

Perry, P.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

Piché, M.

Piksarv, P.

P. Piksarv, A. Valdmann, H. Valtna-Lukner, and P. Saari, “Ultrabroadband Airy light bullets,” Laser Phys. 24(8), 085301 (2014).
[Crossref]

Piskarskas, A.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Polynkin, P.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

Porras, M. A.

M. A. Porras and P. Di Trapani, “Localized and stationary light wave modes in dispersive media,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066606 (2004).
[Crossref] [PubMed]

Razzari, L.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Remez, R.

Renninger, W. H.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

Robles, R. A.

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

Ross, A.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

Saari, P.

P. Piksarv, A. Valdmann, H. Valtna-Lukner, and P. Saari, “Ultrabroadband Airy light bullets,” Laser Phys. 24(8), 085301 (2014).
[Crossref]

P. Saari, “Laterally accelerating airy pulses,” Opt. Express 16(14), 10303–10308 (2008).
[Crossref] [PubMed]

Sciamanna, M.

Shaarawi, A. M.

Sharpe, J.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

Silberberg, Y.

Singh, B. K.

Siviloglou, G. A.

Suntsov, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

Torner, L.

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B. 7(5), R53–R72 (2005).
[Crossref]

Trebino, R.

Trillo, S.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Trull, J.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Tsur, Y.

Tzortzakis, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

Valdmann, A.

P. Piksarv, A. Valdmann, H. Valtna-Lukner, and P. Saari, “Ultrabroadband Airy light bullets,” Laser Phys. 24(8), 085301 (2014).
[Crossref]

Valiulis, G.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

Valtna-Lukner, H.

P. Piksarv, A. Valdmann, H. Valtna-Lukner, and P. Saari, “Ultrabroadband Airy light bullets,” Laser Phys. 24(8), 085301 (2014).
[Crossref]

Vettenburg, T.

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Vidal, F.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Voloch-Bloch, N.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

Weiner, A. M.

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71(5), 1929–1960 (2000).
[Crossref]

Wetzel, B.

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

Wiersma, N.

Wise, F.

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B. 7(5), R53–R72 (2005).
[Crossref]

Wise, F. W.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

Wolfersberger, D.

Yao, J.

Zhang, Y.

W.-P. Zhong, M. R. Belić, and Y. Zhang, “Airy-Tricomi-Gaussian compressed light bullets,” Eur. Phys. J. Plus 131(2), 1–8 (2016).
[Crossref]

Zhong, W.-P.

W.-P. Zhong, M. R. Belić, and Y. Zhang, “Airy-Tricomi-Gaussian compressed light bullets,” Eur. Phys. J. Plus 131(2), 1–8 (2016).
[Crossref]

W.-P. Zhong, M. R. Belić, and T. Huang, “Three-dimensional finite-energy Airy self-accelerating parabolic-cylinder light bullets,” Phys. Rev. A 88(3), 033824 (2013).
[Crossref]

Am. J. Phys. (1)

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Appl. Phys. Lett. (1)

A. Mathis, F. Courvoisier, L. Froehly, L. Furfaro, M. Jacquot, P. A. Lacourt, and J. M. Dudley, “Micromachining along a curve: Femtosecond laser micromachining of curved profiles in diamond and silicon using accelerating beams,” Appl. Phys. Lett. 101(7), 071110 (2012).
[Crossref]

Eur. Phys. J. Plus (1)

W.-P. Zhong, M. R. Belić, and Y. Zhang, “Airy-Tricomi-Gaussian compressed light bullets,” Eur. Phys. J. Plus 131(2), 1–8 (2016).
[Crossref]

J. Opt. B. (1)

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B. 7(5), R53–R72 (2005).
[Crossref]

Laser Phys. (1)

P. Piksarv, A. Valdmann, H. Valtna-Lukner, and P. Saari, “Ultrabroadband Airy light bullets,” Laser Phys. 24(8), 085301 (2014).
[Crossref]

Nat. Biotechnol. (1)

J. G. Fujimoto, “Optical coherence tomography for ultrahigh resolution in vivo imaging,” Nat. Biotechnol. 21(11), 1361–1367 (2003).
[Crossref] [PubMed]

Nat. Methods (1)

T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. Ferrier, T. Čižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref] [PubMed]

Nat. Photonics (2)

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Airy-Bessel wave packets as versatile linear light bullets,” Nat. Photonics 4(2), 103–106 (2010).
[Crossref]

Nature (1)

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

Opt. Express (6)

Opt. Lett. (8)

Phys. Rev. A (2)

W.-P. Zhong, M. R. Belić, and T. Huang, “Three-dimensional finite-energy Airy self-accelerating parabolic-cylinder light bullets,” Phys. Rev. A 88(3), 033824 (2013).
[Crossref]

Y. Hu, D. Bongiovanni, Z. Chen, and R. Morandotti, “Multipath multicomponent self-accelerating beams through spectrum-engineered position mapping,” Phys. Rev. A 88(4), 043809 (2013).
[Crossref]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

M. A. Porras and P. Di Trapani, “Localized and stationary light wave modes in dispersive media,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066606 (2004).
[Crossref] [PubMed]

Phys. Rev. Lett. (4)

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91(9), 093904 (2003).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser Airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

Rev. Sci. Instrum. (1)

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71(5), 1929–1960 (2000).
[Crossref]

Sci. Adv. (1)

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Sci. Rep. (1)

D. Bongiovanni, Y. Hu, B. Wetzel, R. A. Robles, G. Mendoza González, E. A. Marti-Panameño, Z. Chen, and R. Morandotti, “Efficient optical energy harvesting in self-accelerating beams,” Sci. Rep. 5, 13197 (2015).
[Crossref] [PubMed]

Science (2)

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296(5567), 541–545 (2002).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

Other (2)

Y. S. Kivshar and G. Agrawal, “Optical solitons: from fibers to photonic crystals,” (Academic press, 2003).

O. Vallée and M. Soares, “Airy functions and applications to physics,” (Imperial College Press, 2004).

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Figures (5)

Fig. 1
Fig. 1 (a,b) Spatio-temporal and (c,d) spectral intensity isosurfaces (blue shading) of a (finite-energy) Airy3 bullet at Z=0 and Z=5 , respectively. Red isosurfaces (95% intensity cutoff) highlight the bullet main lobe in (a,b), and its spectral counterpart in (c,d). The red line in (c,d) corresponds to the central axis of the red shaded cylinder in (d), i.e. the channel containing the spectral components of the main lobe during bullet propagation.
Fig. 2
Fig. 2 Isosurfaces plots of the bullet generated using a “squeezed” spectrum along K Q and K R with a compression factor C Q = C R =8 . The initial spectrum (blue sphere) shown in (c), corresponding to the classic Airy3 bullet, is reshaped into an ellipsoid (green shading). Details are as those reported in the caption of Fig. 1.
Fig. 3
Fig. 3 Comparison of (a) spatiotemporal trajectories, (b) peak intensities and (c) comparison of the volumes along propagation between a compressed bullet and a classic Airy bullet. (d-e) Illustration of the self-healing behavior for the newly generated bullet in Fig. 2. The main lobe of the bullet is removed at Z=0 in (d), and regenerated at Z=5 in (e).
Fig. 4
Fig. 4 (a) Peak intensity at Z=0 as a function of the spectral compression factors C Q and C R (the optimal value is shown with a white dot). (b) Peak intensity and (c) volume of the bullet for symmetric compression (i.e. along the white dashed line in (a), where C Q = C R ). The inset in (c) illustrates the volume of the main lobe upon spectral compression. (d) Corresponding energy ratio associated to the main lobe.
Fig. 5
Fig. 5 Energy confinement of the total bullet (blue line) and its main lobe (red line) as a function of spectral compression. The energy confinement is calculated as the average ratio between energy and volume shown in Figs. 4(c) and 4(d), and normalized to unity with respect to the case of an uncompressed Airy3 bullet.

Equations (4)

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i ϕ( r ,τ ) z + 1 2β( ω 0 ) 2 ϕ( r ,τ )= β 2 ( ω 0 ) 2   2 ϕ( r ,τ ) τ 2 ,
i ϕ( R ,Z ) Z  +   1 2 [ 2 ϕ( R ,Z ) X 2 + 2 ϕ( R ,Z ) Y 2 sign[ β 2 ]  L   diff L   disp   2 ϕ( R ,Z ) T 2 ]=0,
i ϕ( R ,Z ) Z  +   1 2 2 ϕ( R ,Z ) =0, 
ϕ( R ,Z ) = Ai[ X Z 2 4 +iαZ + α 2 ]Ai[ Y Z 2 4 +iαZ + α 2 ]Ai[ T Z 2 4 +iαZ + α 2 ] exp[ α( 2 α 2 +X+Y+T  3 2 Z 2 ) ]exp[ i(  X+ Y+ T+6 α 2   Z 2 2 )  Z 2 ]

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