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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 11 — Nov. 1, 2009
  • pp: 2016–2027

Polarization of terahertz radiation from laser generated plasma filaments

Daniel Dietze, Juraj Darmo, Stefan Roither, Audrius Pugzlys, James N. Heyman, and Karl Unterrainer  »View Author Affiliations

JOSA B, Vol. 26, Issue 11, pp. 2016-2027 (2009)

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An analysis of the polarization of terahertz (THz) radiation from a laser-induced plasma source is presented. THz emission is achieved by mixing a laser pulse with its second harmonic after focusing through a β - Ba B 2 O 4 (β-BBO) crystal. Numerical calculations, based on the nonlinear four-wave mixing model and the microscopic polarization model, are compared with experimental results. The main focus lies on the study of the dependence of THz polarization on the polarization and relative phase of the incident fundamental and second-harmonic pulses. We show that the modulation of the fundamental pulse by the BBO crystal has to be taken into account in order to describe experimental observations. By including the finite extension of the plasma and considering cross- and self-phase modulation of the two-color pump pulse, we are able to explain the observed ellipticity of the THz pulse as well as the orientation of the polarization axis.

© 2009 Optical Society of America

OCIS Codes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(260.3090) Physical optics : Infrared, far

ToC Category:
Nonlinear Optics

Original Manuscript: June 10, 2009
Revised Manuscript: September 2, 2009
Manuscript Accepted: September 8, 2009
Published: October 5, 2009

Daniel Dietze, Juraj Darmo, Stefan Roither, Audrius Pugzlys, James N. Heyman, and Karl Unterrainer, "Polarization of terahertz radiation from laser generated plasma filaments," J. Opt. Soc. Am. B 26, 2016-2027 (2009)

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  1. J. T. Darrow, X.-C. Zhang, and D. H. Auston, “Power scaling of large-aperture photoconducting antennas,” Appl. Phys. Lett. 58, 25-27 (1991). [CrossRef]
  2. D. You, R. R. Jones, P. H. Bucksbaum, and D. R. Dykaar, “Generation of high-power sub-single-cycle 500-fs electromagnetic pulses,” Opt. Lett. 18, 290-292 (1993). [CrossRef] [PubMed]
  3. A. Dreyhaupt, S. Winnerl, T. Dekorsky, and M. Helm, “High-intensity terahertz radiation from microstructured large-area photoconductor,” Appl. Phys. Lett. 86, 121114 (2005). [CrossRef]
  4. T. J. Carrig, G. Rodriguez, T. S. Clement, A. J. Taylor, and K. R. Stewart, “Scaling of terahertz radiation via optical rectification in electro-optic crystals,” Appl. Phys. Lett. 66, 121-123 (1995). [CrossRef]
  5. T. Löffler, T. Hahn, M. Thomson, F. Jacob, and H. G. Roskos, “Large-area electro-optic ZnTe terahertz emitters,” Opt. Express 13, 5353-5362 (2005). [CrossRef] [PubMed]
  6. H. Hamster, A. Sullivan, S. Gordon, W. White, and R. W. Falcone, “Subpicosecond, electromagnetic pulses from intense laser-plasma interaction,” Phys. Rev. Lett. 71, 2725-2728 (1993). [CrossRef] [PubMed]
  7. H. Hamster, A. Sullivan, S. Gordon, and R. W. Falcone, “Short-pulse terahertz radiation from high-intensity-laser-produced plasmas,” Phys. Rev. E 49, 671-677 (1994). [CrossRef]
  8. D. J. Cook and R. M. Hochstrasser, “Intense terahertz pulses by four-wave rectification in air,” Opt. Lett. 25, 1210-1212 (2000). [CrossRef]
  9. K. Y. Kim, A. J. Taylor, J. H. Glownia, and G. Rodriguez, “Coherent control of terahertz supercontinuum generation in ultrafast laser-gas interactions,” Nat. Photonics 2, 605-609 (2008). [CrossRef]
  10. T. Bartel, P. Gaal, K. Raimann, M. Woerner, and T. Elsaesser, “Generation of single-cycle THz transients with high electric-field amplitudes,” Opt. Lett. 30, 2805-2807 (2005). [CrossRef] [PubMed]
  11. J. Dai and X.-C. Zhang, “Terahertz wave generation from gas plasma using a phase compensator with attosecond phase-control accuracy,” Appl. Phys. Lett. 94, 021117 (2009). [CrossRef]
  12. A. Houard, Y. Liu, B. Prade, and A. Mysyrowicz, “Polarization analysis of terahertz radiation generated by four-wave mixing in air,” Opt. Lett. 33, 1195-1197 (2008). [CrossRef] [PubMed]
  13. C. D'Amico, A. Houard, M. Franco, B. Prade, A. Mysyrowicz, and A. Couairon, “Conical forward THz emission from femtosecond-laser-beam filamentation in air,” Phys. Rev. Lett. 98, 235002 (2007). [CrossRef] [PubMed]
  14. M. Kress, T. Loeffler, S. Eden, M. Thomson, and H. G. Roskos, “Terahertz-pulse generation by photoionization of air with laser pulses composed of both fundamental and second-harmonic waves,” Opt. Lett. 29, 1120-1122 (2004). [CrossRef] [PubMed]
  15. X. Xie, J. Dai, and X.-C. Zhang, “Coherent control of THz wave generation in ambient air,” Phys. Rev. Lett. 96, 075005 (2006). [CrossRef] [PubMed]
  16. K. Y. Kim, J. H. Glownia, A. J. Taylor, and G. Rodriguez, “Terahertz emission from ultrafast ionizing air in symmetry-broken laser fields,” Opt. Express 15, 4577-4584 (2007). [CrossRef] [PubMed]
  17. M. Chen, A. Pukhov, X.-Y. Peng, and O. Willi, “Theoretical analysis and simulations of strong terahertz radiation from the interaction of ultrashort laser pulses with gases,” Phys. Rev. E 78, 046406 (2008). [CrossRef]
  18. A. A. Silaev and N. V. Vvedenskii, “Residual-current excitation in plasmas produced by few-cycle laser pulses,” Phys. Rev. Lett. 102, 115005 (2009). [CrossRef] [PubMed]
  19. N. Karpowicz and X.-C. Zhang, “Coherent terahertz echo of tunnel ionization in gases,” Phys. Rev. Lett. 102, 093001 (2009). [CrossRef] [PubMed]
  20. M. D. Thomson, M. Kress, T. Loeffler, and H. G. Roskos, “Broadband THz emission from gas plasmas induced by femtosecond optical pulses: from fundamentals to applications,” Laser Photonics Rev. 1, 349-368 (2007). [CrossRef]
  21. Y. Zhang, Y. Chen, C. Marceau, W. Liu, Z.-D. Sun, S. Xu, F. Théberge, M. Châteauneuf, J. Dubois, and S. L. Chin, “Non-radially polarized THz pulse emitted from femtosecond laser filament in air,” Opt. Express 16, 15483-15488 (2008). [CrossRef] [PubMed]
  22. A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47-189 (2007). [CrossRef]
  23. E. R. Peck and K. Reeder, “Dispersion of air,” J. Opt. Soc. Am. 62, 958-962 (1972). [CrossRef]
  24. Y. Shimoji, A. T. Fay, R. S. F. Chang, and N. Djeu, “Direct measurement of the nonlinear refractive index of air,” J. Opt. Soc. Am. B 6, 1994-1998 (1989). [CrossRef]
  25. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, “Self-channeling of high-peak-power femtosecond laser pulses in air,” Opt. Lett. 20, 73-75 (1995). [CrossRef] [PubMed]
  26. J. Kasparian, R. Sauerbrey, and S. L. Chin, “The critical laser intensity of self-guided light filaments in air,” Appl. Phys. B 71, 877-879 (2000). [CrossRef]
  27. A. Talebpour, J. Yang, and S. L. Chin, “Semi-empirical model for the rate of tunnel ionization of N2 and O2 molecules in an intense Ti:sapphire laser pulse,” Opt. Commun. 163, 29-32 (1999). [CrossRef]
  28. A. M. Perelomov, V. S. Popov, and M. V. Terent'ev, “Ionization of atoms in an alternating electric field,” Sov. Phys. JETP 23, 924-934 (1966).
  29. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).
  30. B. La Fontaine, F. Vidal, Z. Jiang, C.-Y. Chien, D. Comtois, A. Desparois, T. W. Johnston, J.-C. Kieffer, H. Pépin, and H. P. Mercure, “Filamentation of ultrashort pulse laser beams resulting from their propagation over long distances in air,” Phys. Plasmas 6, 1615-1621 (1999). [CrossRef]
  31. F. Théberge, W. Liu, P. T. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006). [CrossRef]
  32. A.Dinklage, T.Klinger, G.Marx, and L.Schweikhard, eds., Plasma Physics (Springer, 2005). [CrossRef]
  33. F. Vidal, D. Comtois, C.-Y. Chien, A. Desparois, B. La Fontaine, T. W. Johnston, J.-C. Kieffer, H. P. Mercure, H. Pépin, and F. A. Rizk, “Modeling the triggering of streamers in air by ultrashort laser pulses,” IEEE Trans. Plasma Sci. 28, 418-433 (2000). [CrossRef]
  34. L. S. Frost and A. V. Phelps, “Rotational excitation and momentum transfer cross sections for electrons in H2 and N2 from transport coefficients,” Phys. Rev. 127, 1621-1633 (1962). [CrossRef]
  35. M. Kress, T. Löffler, M. D. Thomson, R. Dörner, H. Gimpel, K. Zrost, T. Ergler, R. Moshammer, U. Morgner, J. Ullrich, and H. G. Roskos, “Determination of the carrier-envelope phase of few-cycle laser pulses with terahertz-emission spectroscopy,” Nat. Phys. 20, 327-331 (2006). [CrossRef]
  36. H.-C. Wu, J. Meyer-ter-Vehn, and Z.-M. Sheng, “Phase-sensitive terahertz emission from gas targets irradiated by few-cycle laser pulses,” New J. Phys. 10, 043001 (2008). [CrossRef]
  37. H. Wen, D. Daranciang, H. Navirian, and A. M. Lindenberg, “Nonlinear THz interactions with matter: application to semiconductors and ferroelectrics,” presented at the International Workshop on Optical Terahertz Science and Technology (OTST 2009), Santa Barbara, California, March 7-11, 2009, paper SuD4.
  38. K. Kato, “Second-harmonic generation to 2048 Å in β-BaB2O4,” IEEE J. Quantum Electron. QE-22, 1013-1014 (1986). [CrossRef]
  39. J. D. Jackson, Klassische Elektrodynamik, 2nd ed. (Walter de Gruyter, 1983).
  40. P. Bejot, Y. Petit, L. Bonacina, J. Kasparian, M. Moret, and J.-P. Wolf, “Ultrafast gaseous 'half-wave plate',” Opt. Express 16, 7564-7570 (2008). [CrossRef] [PubMed]
  41. D. P. Shelton, “Nonlinear-optical susceptibilities of gases at 1064 and 1319 nm,” Phys. Rev. A 42, 2578-2592 (1990). [CrossRef] [PubMed]
  42. S. V. Golubev, E. V. Suvorov, and A. G. Shalashov, “On the possibility of terahertz wave generation upon dense gas optical breakdown,” JETP Lett. 79, 361-364 (2004). [CrossRef]
  43. P. B. Corkum, “Plasma perspective on strong-field multiphoton ionization,” Phys. Rev. Lett. 71, 1994-1997 (1993). [CrossRef] [PubMed]
  44. R. Kersting, K. Unterrainer, G. Strasser, H. F. Kauffmann, and E. Gornik, “Few-cycle thz emission from cold plasma oscillations,” Phys. Rev. Lett. 79, 3038-3041 (1997). [CrossRef]
  45. R. Kersting, J. N. Heyman, G. Strasser, and K. Unterrainer, “Coherent plasmons in n-doped GaAs,” Phys. Rev. B 58, 4553-4559 (1998). [CrossRef]
  46. A. M. Bystrov, N. V. Vvedenskii, and V. B. Gildenburg, “Generation of terahertz radiation upon the optical breakdown of a gas,” JETP Lett. 82, 753-757 (2005). [CrossRef]
  47. V. B. Gildenburg and N. V. Vvedenskii, “Optical-to-THz wave conversion via excitation of plasma oscillations in the tunneling-ionization process,” Phys. Rev. Lett. 98, 245002 (2007). [CrossRef] [PubMed]
  48. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge Univ. Press, 1997).
  49. H. Zhong, N. Karpowicz, and X.-C. Zhang, “Terahertz emission profile from laser-induced air plasma,” Appl. Phys. Lett. 88, 261103 (2006). [CrossRef]
  50. Y.-H. Chen, S. Varma, I. Alexeev, and H. M. Milchberg, “Measurement of transient nonlinear refractive index in gases using xenon supercontinuum single-shot spectral interferometry,” Opt. Express 15, 7458-7467 (2007). [CrossRef] [PubMed]
  51. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propag. 14, 302-307 (1966). [CrossRef]
  52. B. Engquist and A. Majda, “Absorbing boundary conditions for numerical simulation of waves,” Proc. Natl. Acad. Sci. U.S.A. 74, 1765-1766 (1977). [CrossRef] [PubMed]
  53. G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromagn. Compat. EMC-23, 377-382 (1981). [CrossRef]
  54. P. M. Goorjian, A. Taflove, R. M. Joseph, and S. C. Hagness, “Computational modeling of femtosecond optical solitons from Maxwell's equations,” IEEE J. Quantum Electron. 28, 2416-2422 (1992). [CrossRef]
  55. M. Fujii, M. Tahara, I. Sakagami, W. Freude, and P. Russer, “High-order FDTD and auxiliary differential equation formulation of optical pulse propagation in 2-D Kerr and Raman nonlinear dispersive media,” IEEE J. Quantum Electron. 40, 175-182 (2004). [CrossRef]
  56. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed. (Artech House, 2000).
  57. J. Faure, J. Van Tilborg, R. A. Kaindl, and W. P. Leemans, “Modelling laser-based table-top THz sources: optical rectification, propagation and electro-optic sampling,” Opt. Quantum Electron. 36, 681-697 (2004). [CrossRef]
  58. A. Gürtler, C. Winnewisser, H. Helm, and P. U. Jepsen, “Terahertz pulse propagation in the near field and the far field,” J. Opt. Soc. Am. A 17, 74-83 (2000). [CrossRef]
  59. T. Löffler, “Erzeugung intensiver Pulse im Terahertzfrequenzbereich mittels laser-generierter Plasmen,” PhD thesis (Johann Wolfgang Goethe--Universität, Frankfurt am Main, 2003).
  60. P. C. M. Planken, H.-K. Nienhuys, H. J. Bakker, and T. Wenckebach, “Measurement and calculation of the orientation dependence of terahertz pulse detection in ZnTe,” J. Opt. Soc. Am. B 18, 313-317 (2001). [CrossRef]
  61. Y. Chen, C. Marceau, W. Liu, Z.-D. Sun, Y. Zhang, F. Théberge, M. Châteauneuf, J. Dubois, and S. L. Chin, “Elliptically polarized terahertz emission in the forward direction of a femtosecond laser filament in air,” Appl. Phys. Lett. 93, 231116 (2008). [CrossRef]
  62. Y. Liu, A. Houard, M. Durand, B. Prade, and A. Mysyrowicz, “Observation of Maker fringes in the terahertz radiation generated by 2-color laser field inside a long femtosecond filament,” presented at the International Workshop on Optical Terahertz Science and Technology (OTST 2009), Santa Barbara, California, March 7-11, 2009, paper SuE97.
  63. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).
  64. F. Blanchard, G. Sharma, X. Ropagnol, L. Razzari, R. Morandotti, and T. Ozaki, “Improved terahertz two-color plasma sources pumped by high intensity laser beam,” Opt. Express 17, 6044-6052 (2009). [CrossRef] [PubMed]

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