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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 22 — Oct. 29, 2007
  • pp: 14750–14764

Sub-critical regime of femtosecond inscription

Sergei K. Turitsyn, Vladimir K. Mezentsev, Mykhaylo Dubov, Alexander M. Rubenchik, Michail P. Fedoruk, and Evgeny V. Podivilov  »View Author Affiliations

Optics Express, Vol. 15, Issue 22, pp. 14750-14764 (2007)

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We apply well known nonlinear diffraction theory governing focusing of a powerful light beam of arbitrary shape in medium with Kerr nonlinearity to the analysis of femtosecond (fs) laser processing of dielectric in sub-critical (input power less than the critical power of self-focusing) regime. Simple analytical expressions are derived for the input beam power and spatial focusing parameter (numerical aperture) that are required for achieving an inscription threshold. Application of non-Gaussian laser beams for better controlled fs inscription at higher powers is also discussed.

© 2007 Optical Society of America

OCIS Codes
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(220.4000) Optical design and fabrication : Microstructure fabrication
(320.2250) Ultrafast optics : Femtosecond phenomena

ToC Category:
Ultrafast Optics

Original Manuscript: July 9, 2007
Revised Manuscript: September 20, 2007
Manuscript Accepted: October 8, 2007
Published: October 24, 2007

Sergei K. Turitsyn, Vladimir K. Mezentsev, Mykhaylo Dubov, Alexander M. Rubenchik, Michail P. Fedoruk, and Evgeny V. Podivilov, "Sub-critical regime of femtosecond inscription," Opt. Express 15, 14750-14764 (2007)

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  1. K. M. Davis, K. Miura, N. Sugimoto and K. Hirao, "Writing waveguides in glass with a femtosecond. Laser," Opt. Lett. 21,1729 (1996) [CrossRef] [PubMed]
  2. E. N. Glezer and E. Mazur, "Ultrafast-laser driven micro-explosions in transparent materials," Appl. Phys. Lett. 71, 882 (1997) [CrossRef]
  3. D. Homoelle, S. Wielandy, A. L. Gaeta, N. F. Borrelli, and C. Smith, "Infrared photosensitivity in silica glasses exposed to femtosecond laser pulses," Opt. Lett. 24, 1311-1313 (1999) [CrossRef]
  4. Y. Kondo, K. Nouchi, T. Mitsuyu, M. Watanabe, P. G. Kazansky, and K. Hirao, "Fabrication of long-period fiber gratings by focused irradiation of infrared femtosecond laser pulses," Opt. Lett. 24, 646-648 (1999) [CrossRef]
  5. A.M. Streltsov and N.M. Borrelli, "Study of femtosecond-laser-written waveguides in glasses," J. Opt. Soc. Am. B 19, 2496-2504 (2002). [CrossRef]
  6. M. Will, S. Nolte, B. N. Chichkov, and A. Tünnermann, "Optical Properties of Waveguides Fabricated in Fused Silica by Femtosecond Laser Pulses," Appl. Opt. 41, 4360-4364 (2002) [CrossRef] [PubMed]
  7. R. Osellame, S. Taccheo, M. Marangoni, R. Ramponi, P. Laporta, D. Polli, S. De Silvestri and G. Cerlullo, "Femtosecond writing of active optical waveguides with astigmatically shaped beams," J. Opt. Soc. Am. B, 1559 (2003)Q1 [CrossRef]
  8. C. Florea and K. A. Winick, "Fabrication and Characterization of PhotonicDevices Directly Written in Glass UsingFemtosecond Laser Pulses," IEEE J. Lightwave Technol. 21, 246 (2003)Q2 [CrossRef]
  9. B.C. Stuart, M. D. Feit, A. M. Rubenchik, B. W. Shore and M. D. Perry, " Laser-Induced Damage in Dielectrics with Nanosecond to Subpicosecond Pulses," Phys. Rev. Lett. 74, 2248 (1995) [CrossRef] [PubMed]
  10. B.C. Stuart, M. D. Feit, S. Herman, A. M. Rubenchik, B. W. Shore and M. D. Perry, "Optical ablation by high-power. short-pulse. Lasers," J. Opt. Soc. Am. B 13, 459 (1996) [CrossRef]
  11. C. B. Schaffer, A. Brodeur, J. F. Garca, and E. Mazur, "Micromachining bulk glass by use of femtosecond laser pulses with nanoJoule energy," Opt. Lett. 26, 93-95 (2001) [CrossRef]
  12. S. Tzortzakis, L. Sudrie, M. Franko, B. Prade, A. Mysrowicz, A. Couairon, and L. Berge, "Self-focusing of few-cycle light pulses in dielectric media," Phys. Rev. Lett. 87, 213902 (2001) [CrossRef] [PubMed]
  13. 3D Laser Microfabrication: Principles and Applications, Eds. Hiroaki Misawa and Saulius Juodkazis, Wiley-VCH, 2006
  14. Q. Feng, J.V. Moloney, A.C. Newell, E.M. Wright, K. Cook, P.K. Kennedy, D.X. Hammer, B.A. Rockwell, C.R. Thompson, "Theory and Simulation on the Threshold of Water Breakdown Induced by Focused Ultrashort Laser Pulses," IEEE-J. Quantum Electron. 33, 127-137 (1997) [CrossRef]
  15. L.V. Keldysh, "Ionization in the field of a strong electromagnetic wave," Sov.Phys.JETP 20,1307 (1965)Q3
  16. M.V. Ammosov,N.V. Delone, and V.P. Krainov "Tunneling ionization of complex atoms and of atomic ions in alternating electromagnetic field," Sov.Phys.JETP 64, 1191 (1986)Q4
  17. V. I. Talanov, "Focusing of light in cubic media," JETP Lett. 11, 199 (1970)
  18. S.N. Vlasov, V.A. Petrishev, and V.I. Talanov, "Average description of wave beams in linear and nonlinear media," Izv. Vyssh. Uchebn. Zaved. Radiofiz. 14, 1353 (1971) [Radiophys. and Quantum Electron. 14, 1062 (1974)]Q5
  19. R. Y.  Chiao, E.  Garmire, and C. H.  Townes, "Self-trapping of optical beam," Phys. Rev. Lett.  13, 479 (1964) [CrossRef]
  20. L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G.W. ’t Hooft, E. R. Eliel, and G. Fibich, "Collapse of Optical Vortices," Phys. Rev. Lett.,  96, 133901 (2006) [CrossRef] [PubMed]

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