Abstract
We review our recent experimental studies on nonlinear interaction of intense ultrashort filaments in air. Strong spatiotemporal couplings are observed for non-collinearly interacting filaments and their intensity interference assists the formation of wavelength-scale periodic plasma density in the interaction region. Plasma waveguides based on such periodic modulation are experimentally observed as a potential high-intensity laser plasma component. As a result of the periodic modulation of the refractive index, plasma gratings are established with a relatively long lifetime, giving rising to time-delayed diffraction and efficient energy transfer between the interacting filaments. Two-dimensional plasma gratings as well as two-dimensional diffracted arrays are observed. The non-collinear filament interaction induces observable filament elongation and remarkable third harmonic enhancement of more than two orders of magnitude. Nonlinear filament interaction could be controlled to coalesce the intersecting ultraviolet femtosecond filaments into a single intense filament of a quite small core diameter.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
E. Zeek, K. Maginnis, S. Backus, U. Russek, M. Murnane, G. Mourou, H. Kapteyn, G. Vdovin, Pulse compression by use of deformable mirrors. Opt. Lett. 24, 493 (1999)
C.G. Durfee, A.R. Rundquist, S. Backus, C. Herne, M.M. Murnane, H.C. Kapteyn, Phase matching of high-order harmonics in hollow waveguides. Phys. Rev. Lett. 83, 2187 (1999)
C.G.R. Geddes, C. Toth, J. van Tilborg, E. Esarey, C.B. Schroeder, J. Cary, W.P. Leemans, Guiding of relativistic laser pulses by preformed plasma channels. Phys. Rev. Lett. 95, 145002 (2005)
S.Y. Chen, G.S. Sarkisov, A. Maksimchuk, R. Wagner, D. Umstadter, Evolution of a plasma waveguide created during relativistic-ponderomotive self-channeling of an intense laser pulse. Phys. Rev. Lett. 80, 2610 (1998)
F. Théberge, N. Akozbek, W.W. Liu, A. Becker, S.L. Chin, Tunable ultrashort laser pulses generated through filamentation in gases. Phys. Rev. Lett. 97, 023904 (2006)
N. Aközbek, A. Iwasaki, A. Becker, M. Scalora, S.L. Chin, C.M. Bowden, Third-harmonic generation and self-channeling in air using high-power femtosecond laser pulses. Phys. Rev. Lett. 89, 143901 (2002)
J. Kasparian, R. Sauerbrey, D. Mondelain, S. Niedermeier, J. Yu, J.P. Wolf, Y.B. Andre, M. Franco, B. Prade, S. Tzortzakis, A. Mysyrowicz, M. Rodriguez, H. Wille, L. Woste, Infrared extension of the supercontinuum generated by femtosecond terawatt laser pulses propagating in the atmosphere. Opt. Lett. 25, 1397 (2000)
L. Bergé, S. Skupin, Few-cycle light bullets created by femtosecond filaments. Phys. Rev. Lett. 100, 113902 (2008)
A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, U. Keller, Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient. Opt. Lett. 30, 2657 (2005)
V. Kumarappan, K.Y. Kim, H.M. Milchberg, Guiding of intense laser pulses in plasma waveguides produced from efficient, femtosecond end-pumped heating of clustered gases. Phys. Rev. Lett. 94, 205004 (2005)
J. Kasparian, R. Sauerbrey, S.L. Chin, The critical laser intensity of self-guided light filaments in air. Appl. Phys. B. 71, 877 (2000)
L. Bergé, S. Skupin, F. Lederer, G. Mejean, J. Yu, J. Kasparian, E. Salmon, J.P. Wolf, M. Rodriguez, L. Woste, R. Bourayou, R. Sauerbrey, Multiple filamentation of terawatt laser pulses in air. Phys. Rev. Lett. 92, 225002 (2004)
L. Bergé, M.R. Schmidt, J.J. Rasmussen, P.L. Christiansen, K.Ø. Rasmussen, Amalgamation of interacting light beamlets in Kerr-type media. J. Opt. Soc. Am. B 14, 2550 (1997)
W. Królikowski, S.A. Holmstrom, Fusion and birth of spatial solitons upon collision. Opt. Lett. 22, 369 (1997)
V. Antoine, L. Bergé, Femtosecond optical vortices in air. Phys. Rev. Lett. 95, 193901 (2005)
M.-F. Shih, M. Segev, G. Salamo, Three-dimensional spiraling of interacting spatial solitons. Phys. Rev. Lett. 78, 2551 (1997)
T.T. Xi, X. Lu, J. Zhang, Interaction of light filaments generated by femtosecond laser pulses in air. Phys. Rev. Lett. 96, 025003 (2006)
J. Wu, H. Cai, Y. Tong, H. Zeng, Measurement of field-free molecular alignment by cross-defocusing assisted polarization spectroscopy. Opt. Express 17, 16300 (2009)
Y. Feng, H. Pan, J. Liu, C. Chen, J. Wu, H. Zeng, Direct measurement of field-free molecular alignment by spatial (de)focusing effects. Opt. Express 19, 2852 (2011)
H. Cai, J. Wu, X. Bai, H. Pan, H. Zeng, Molecular-alignment-assisted high-energy supercontinuum pulse generation in air. Opt. Lett. 35, 49 (2010)
J. Wu, H. Cai, H. Zeng, A. Couairon, Femtosecond filamentation and pulse compression in the wake of molecular alignment. Opt. Lett. 33, 2593 (2008)
H. Cai, J. Wu, H. Li, X. Bai, H. Zeng, Elongation of femtosecond filament by molecular alignment in air. Opt. Express 17, 21060 (2009)
J. Wu, H. Cai, A. Couairon, H. Zeng, Wavelength tuning of a few-cycle laser pulse by molecular alignment in femtosecond filamentation wake. Phys. Rev. A 79, 063812 (2009)
J. Liu, Y. Feng, H. Li, P. Lu, H. Pan, J. Wu, H. Zeng, Supercontinuum pulse measurement by molecular alignment based cross-correlation frequency resolved optical gating. Opt. Express 19, 40 (2011)
P. Lu, J. Liu, H. Li, H. Pan, J. Wu, H. Zeng, Cross-correlation frequency-resolved optical gating by molecular alignment for ultraviolet femtosecond pulse measurement. Appl. Phys. Lett. 97, 3478008 (2010)
H. Cai, J. Wu, P. Lu, X. Bai, L. Ding, H. Zeng, Attraction and repulsion of parallel femtosecond filaments in air. Phys. Rev. A 80, 051802 (2009)
J. Wu, H. Cai, P. Lu, X. Bai, L. Ding, H. Zeng, Intense ultrafast light kick by rotational Raman wake in atmosphere. Appl. Phys. Lett. 95, 221502 (2009)
P. Russell, Photonic crystal fibers. Science 299, 358 (2003)
J.S. Foresi, P.R. Villeneuve, J. Ferrera, E.R. Thoen, G. Steinmeyer, S. Fan, J.D. Joannopoulos, L.C. Kimerling, H.I. Smith, E.P. Ippen, Photonic-bandgap microcavities in optical waveguides. Nature 390, 143 (1997)
D.G. Ouzounov, F.R. Ahmad, D. Müller, N. Venkataraman, M.T. Gallagher, M.G. Thomas, J. Silcox, K.W. Koch, A.L. Gaeta, Generation of megawatt optical solitons in hollow-core photonic band-gap fibers. Science 301, 1702 (2003)
J.W. Fleischer, M. Segev, N.K. Efremidis, D.N. Christodoulides, Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices. Nature 422, 147 (2003)
H.J. Eichler, P. Kuemmel, S. Orlic, A. Wappelt, High-density disk storage by multiplexed microholograms. IEEE J. Sel. Top. Quant. Electron. 4, 840 (1998)
D.C. Meisel, M. Wegener, K. Busch, Three-dimensional photonic crystals by holographic lithography using the umbrella configuration: Symmetries and complete photonic band gaps. Phys. Rev. B 70, 165104 (2004)
H. Zeng, J. Wu, H. Xu, K. Wu, Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium. Phys. Rev. Lett. 96, 083902 (2006)
D.G. Ouzounov, K.D. Moll, M.A. Foster, W.R. Zipfel, W.W. Webb, A.L. Gaeta, Delivery of nanojoule femtosecond pulses through large-core microstructured fibers. Opt. Lett. 27, 1513 (2002)
T. Udem, R. Holzwarth, T.W. Hansch, Optical frequency metrology. Nature 416, 233 (2002)
P. Lodahl, A. Floris van Driel, I.S. Nikolaev, A. Irman, K. Overgaag, D. Vanmaekelbergh, W.L. Vos, Controlling the dynamics of spontaneous emission from quantum dots by photonic crystals. Nature 430, 654 (2004)
A. Mekis, J.C. Chen, I. Kurland, S. Fan, P.R. Villeneuve, J.D. Joannopoulos, High transmission through sharp bends in photonic crystal waveguides. Phys. Rev. Lett. 77, 3787 (1996)
J.K. Ranka, R.S. Windeler, A.J. Stentz, Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800Â nm. Opt. Lett. 25, 25 (2000)
X. Yang, J. Wu, Y. Peng, Y. Tong, P. Lu, L. Ding, Z. Xu, H. Zeng, Plasma waveguide array induced by filament interaction. Opt. Lett. 34, 3806 (2009)
X. Yang, J. Wu, Y. Peng, Y. Tong, S. Yuan, L. Ding, Z. Xu, H. Zeng, Noncollinear interaction of femtosecond filaments with enhanced third harmonic generation in air. Appl. Phys. Lett. 95, 111103 (2009)
H.L. Xu, A. Azarm, J. Bernhardt, Y. Kamali, S.L. Chin, The mechanism of nitrogen fluorescence inside a femtosecond laser filament in air. Chem. Phys. 360, 171 (2009)
G.N. Gibson, R.R. Freeman, T.J. McIlrath, Dynamics of the high-intensity multiphoton ionization of N2. Phys. Rev. Lett. 67, 1230 (1991)
A. Becker, A.D. Bandrauk, S.L. Chin, S-matrix analysis of non-resonant multiphoton ionisation of inner-valence electrons of the nitrogen molecule. Chem. Phys. Lett. 343, 345 (2001)
R.W.B. Pearse, A.G. Gaydon, The Identification of Molecular Sepctra, 4th edn. (Chapman and Hall, New York, 1984)
G. Rodriguez, A.R. Valenzuela, B. Yellampalle, M.J. Schmitt, K.Y. Kim, In-line holographic imaging and electron density extraction of ultrafast ionized air filaments. J. Opt. Soc. Am. B 25, 1988 (2008)
M. Centurion, Y. Pu, Z.W. Liu, D. Psaltis, T.W. Hansch, Holographic recording of laser-induced plasma. Opt. Lett. 29, 772 (2004)
D.M. Burland, Applications of holography in the investigation of photochemical reactions. Acc. Chem. Res. 16, 218 (1983)
L. Bergé, S. Skupin, R. Nuter, J. Kasparian, J.P. Wolf, Ultrashort filaments of light in weakly ionized, optically transparent media. Rep. Prog. Phys. 70, 1633 (2007)
M. Mlejnek, M. Kolesik, J.V. Moloney, E.M. Wright, Optically turbulent femtosecond light guide in air. Phys. Rev. Lett. 83, 2938 (1999)
T.K. Gaylord, M.G. Moharam, Thin and thick gratings: terminology clarification. Appl. Opt. 20, 3271 (1981)
C.H. Pai, S.Y. Huang, C.C. Kuo, M.W. Lin, J. Wang, S.Y. Chen, C.H. Lee, J.Y. Lin, Fabrication of spatial transient-density structures as high-field plasma photonic devices. Phys. Plasmas 12, 070707 (2005)
C.C. Kuo, C.H. Pai, M.W. Lin, K.H. Lee, J.Y. Lin, J. Wang, S.Y. Chen, Enhancement of relativistic harmonic generation by an optically preformed periodic plasma waveguide. Phys. Rev. Lett. 98, 033901 (2007)
X. Yang, J. Wu, Y. Tong, L. Ding, Z. Xu, H. Zeng, Femtosecond laser pulse energy transfer induced by plasma grating due to filament interaction in air. Appl. Phys. Lett. 97, 071108 (2010)
K. Stelmaszczyk, P. Rohwetter, G. Méjean, J. Yu, E. Salmon, J. Kasparian, R. Ackermann, J.P. Wolf, L. Wöste, Long-distance remote laser-induced breakdown spectroscopy using filamentation in air. Appl. Phys. Lett. 85, 3977 (2004)
P. Kumar, Quantum frequency conversion. Opt. Lett. 15, 1476 (1990)
J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, L. Wöste, White-light filaments for atmospheric analysis. Science 301, 61 (2003)
A.E. Jailaubekov, S.E. Bradforth, Tunable 30-femtosecond pulses across the deep ultraviolet. Appl. Phys. Lett. 87, 021107 (2005)
R.J. Gehr, M.W. Kimmel, A.V. Smith, Simultaneous spatial and temporal walk-off compensation in frequency-doubling femtosecond pulses in β-BaB2O4. Opt. Lett. 23, 1298 (1998)
Y. Wang, X. Dai, J. Wu, L. Ding, H. Zeng, Spectral modulation of ultraviolet femtosecond laser pulse by molecular alignment of CO2, O2, and N2. Appl. Phys. Lett. 96, 031105 (2010)
Y. Wang, Y. Zhang, P. Chen, L. Shi, X. Lu, J. Wu, L. Ding, H. Zeng, The formation of an intense filament controlled by interference of ultraviolet femtosecond pulses. Appl. Phys. Lett. 98, 111103 (2011)
D.N. Christodoulides, R.I. Joseph, Discrete self-focusing in nonlinear arrays of coupled waveguides. Opt. Lett. 13, 794 (1988)
Acknowledgements
This work was partly supported by National Natural Science Fund (10525416 and 10804032) and National key project for basic research (2011CB808105). Contributions from Heping Zeng’s group members and students (Xuan Yang, Yongdong Wang, Liping Shi, Shuai Yuan, Jingxin Ding, Haifeng Pan, Wenxue Li, Jian Wu, and liang’en Ding) are greatly appreciated.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media New York
About this chapter
Cite this chapter
Zeng, H., Liu, J. (2012). Nonlinear Interaction of Intense Ultrashort Filaments. In: Chen, Z., Morandotti, R. (eds) Nonlinear Photonics and Novel Optical Phenomena. Springer Series in Optical Sciences, vol 170. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3538-9_10
Download citation
DOI: https://doi.org/10.1007/978-1-4614-3538-9_10
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-3537-2
Online ISBN: 978-1-4614-3538-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)