Abstract

Broadband 2-D multicolored arrays with more than ten periodic columns and more than ten rows were generated in a sapphire plate using two crossed femtosecond laser beams overlapping in time and space. These multicolored 2-D arrays were sensitive to rotation of the sapphire plate in the plane normal to the incident beams. The broadband spectrum, pulse duration less than 40fs, and less than 1%RMS power stability of the array signals make them well suited for various applications, for example multicolor pump-probe experiments.

©2009 Optical Society of America

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References

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    [Crossref] [PubMed]

2009 (2)

2008 (4)

J. Liu and T. Kobayashi, “Cascaded four-wave mixing and multicolored arrays generation in a sapphire plate by using two crossing beams of femtosecond laser,” Opt. Express 16, 22119–22125 (2008).
[Crossref] [PubMed]

E. Matsubara, T. Sekikawa, and M. Yamashita, “Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature,” Appl. Phys. Lett. 92, 071104 (2008).
[Crossref]

J. Liu, J. Zhang, and T. Kobayashi, “Broadband coherent anti-Stokes Raman scattering light generation in BBO crystal by using two crossing femtosecond laser pulses,” Opt. Lett. 33, 1494–1496 (2008).
[Crossref] [PubMed]

V. Kartazaev and R. R. Alfano, “Polarization properties of SC generated in CaF2,” Opt. Commun. 281, 463–468 (2008).

2007 (5)

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of Two-Dimensional Surface Solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

H. Matsuki, K. Inoue, and E. Hanamura, “Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses,” Phys. Rev. B 75, 024102 (2007)
[Crossref]

K. Inoue, J. Kato, E. Hanamura, H. Matsuki, and E. Matsubara, “Broadband coherent radiation based on peculiar multiple Raman scattering by laser-induced phonon grating in TiO2,” Phys. Rev. B 76, 041101(R) (2007).

M. Zhi and A. V. Sokolov, “Broadband coherent light generation in a Raman-active crystal driven by two-color femtosecond laser pulses,” Opt. Lett. 32, 2251–2253 (2007).
[Crossref] [PubMed]

2006 (2)

H. Zeng, J. Wu, H. Xu, and K. Wu, “Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium,” Phys. Rev. Lett. 96, 083902 (2006).
[Crossref] [PubMed]

G. Fanjoux, J. Michaud, M. Delquˊe, H. Mailotte, and T. Sylvestre, “Generation of multicolor vector Kerr solitons by cross-phase modulation, four-wave mixing, and stimulated Raman scattering,” Opt. Lett. 31, 3480–3482 (2006).
[Crossref] [PubMed]

2005 (2)

E. Matsubara, K. Inoue, and E. Hanamura, “Violation of Raman selection rules induced by two femtosecond laser pulses in KTaO3,” Phys. Rev. B 72, 134101 (2005).
[Crossref]

A. Saliminia, S. Chin, and R. Vallée, “Ultra-broad and coherent white light generation in silica glass by focused femtosecond pulses at 1.5 um,” Opt. Express 13, 5731–5738 (2005).
[Crossref] [PubMed]

2003 (2)

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, “Nolinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).
[Crossref] [PubMed]

J.W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solutions in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

2001 (1)

T. Kobayashi, A. Shirakawa, and T. Fuji, “Sub-5-fs transform-limited visible pulse source and its application to real-time spectroscopy,” IEEE J. Sel. Top. Quantum Electron. 7, 525–538 (2001).
[Crossref]

2000 (2)

H. Crespo, J. T. Mendonça, and A. Dos Santos, “Cascaded highly nondegenerate four-wave-mixing phenomenon in transparent isotropic condensed media,” Opt. Lett. 25, 829–831 (2000).
[Crossref]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).
[Crossref] [PubMed]

1998 (2)

M. Segev and G. Stegeman, “Self-Trapping of Optical Beams: Spatial Solitons,” Phys. Today 51, 43–48 (1998).
[Crossref]

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, “Multicolor solitons due to four-wave mixing,” Phys. Rev. E 57, 3551–3555 (1998).
[Crossref]

1997 (1)

Alfano, R. R.

V. Kartazaev and R. R. Alfano, “Polarization properties of SC generated in CaF2,” Opt. Commun. 281, 463–468 (2008).

Andersen, D. R.

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, “Multicolor solitons due to four-wave mixing,” Phys. Rev. E 57, 3551–3555 (1998).
[Crossref]

Backus, S.

Bezryadina, A.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of Two-Dimensional Surface Solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

Chen, Z.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of Two-Dimensional Surface Solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

Chin, S.

Christodoulides, D. N.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of Two-Dimensional Surface Solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

J.W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solutions in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).
[Crossref] [PubMed]

Conti, C.

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, “Nolinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).
[Crossref] [PubMed]

Couairon, A.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

Crespo, H.

Delqu´e, M.

Di Trapani, P.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, “Nolinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).
[Crossref] [PubMed]

Dos Santos, A.

Dubieties, A.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

Durfee III, C. G.

Efremidis, N. K.

J.W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solutions in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

Eugenieva, E.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).
[Crossref] [PubMed]

Faccio, D.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

Fanjoux, G.

Fleischer, J.W.

J.W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solutions in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

Fuji, T.

T. Kobayashi, A. Shirakawa, and T. Fuji, “Sub-5-fs transform-limited visible pulse source and its application to real-time spectroscopy,” IEEE J. Sel. Top. Quantum Electron. 7, 525–538 (2001).
[Crossref]

Hanamura, E.

H. Matsuki, K. Inoue, and E. Hanamura, “Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses,” Phys. Rev. B 75, 024102 (2007)
[Crossref]

K. Inoue, J. Kato, E. Hanamura, H. Matsuki, and E. Matsubara, “Broadband coherent radiation based on peculiar multiple Raman scattering by laser-induced phonon grating in TiO2,” Phys. Rev. B 76, 041101(R) (2007).

E. Matsubara, K. Inoue, and E. Hanamura, “Violation of Raman selection rules induced by two femtosecond laser pulses in KTaO3,” Phys. Rev. B 72, 134101 (2005).
[Crossref]

Inoue, K.

H. Matsuki, K. Inoue, and E. Hanamura, “Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses,” Phys. Rev. B 75, 024102 (2007)
[Crossref]

K. Inoue, J. Kato, E. Hanamura, H. Matsuki, and E. Matsubara, “Broadband coherent radiation based on peculiar multiple Raman scattering by laser-induced phonon grating in TiO2,” Phys. Rev. B 76, 041101(R) (2007).

E. Matsubara, K. Inoue, and E. Hanamura, “Violation of Raman selection rules induced by two femtosecond laser pulses in KTaO3,” Phys. Rev. B 72, 134101 (2005).
[Crossref]

Jedrkiewicz, O.

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, “Nolinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).
[Crossref] [PubMed]

Kapteyn, H. C.

Kartazaev, V.

V. Kartazaev and R. R. Alfano, “Polarization properties of SC generated in CaF2,” Opt. Commun. 281, 463–468 (2008).

Kato, J.

K. Inoue, J. Kato, E. Hanamura, H. Matsuki, and E. Matsubara, “Broadband coherent radiation based on peculiar multiple Raman scattering by laser-induced phonon grating in TiO2,” Phys. Rev. B 76, 041101(R) (2007).

Kip, D.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).
[Crossref] [PubMed]

Kivshar, Y. S.

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, “Multicolor solitons due to four-wave mixing,” Phys. Rev. E 57, 3551–3555 (1998).
[Crossref]

Kobayashi, T.

Liu, J.

Lotti, A.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

Lundquist, P. B.

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, “Multicolor solitons due to four-wave mixing,” Phys. Rev. E 57, 3551–3555 (1998).
[Crossref]

Mailotte, H.

Makris, K. G.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of Two-Dimensional Surface Solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

Matsubara, E.

E. Matsubara, T. Sekikawa, and M. Yamashita, “Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature,” Appl. Phys. Lett. 92, 071104 (2008).
[Crossref]

K. Inoue, J. Kato, E. Hanamura, H. Matsuki, and E. Matsubara, “Broadband coherent radiation based on peculiar multiple Raman scattering by laser-induced phonon grating in TiO2,” Phys. Rev. B 76, 041101(R) (2007).

E. Matsubara, K. Inoue, and E. Hanamura, “Violation of Raman selection rules induced by two femtosecond laser pulses in KTaO3,” Phys. Rev. B 72, 134101 (2005).
[Crossref]

Matsuki, H.

K. Inoue, J. Kato, E. Hanamura, H. Matsuki, and E. Matsubara, “Broadband coherent radiation based on peculiar multiple Raman scattering by laser-induced phonon grating in TiO2,” Phys. Rev. B 76, 041101(R) (2007).

H. Matsuki, K. Inoue, and E. Hanamura, “Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses,” Phys. Rev. B 75, 024102 (2007)
[Crossref]

Mendonça, J. T.

Michaud, J.

Murnane, M. M.

Piskarskas, A.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, “Nolinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).
[Crossref] [PubMed]

Polesana, P.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

Saliminia, A.

Segev, M.

J.W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solutions in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).
[Crossref] [PubMed]

M. Segev and G. Stegeman, “Self-Trapping of Optical Beams: Spatial Solitons,” Phys. Today 51, 43–48 (1998).
[Crossref]

Sekikawa, T.

E. Matsubara, T. Sekikawa, and M. Yamashita, “Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature,” Appl. Phys. Lett. 92, 071104 (2008).
[Crossref]

Shirakawa, A.

T. Kobayashi, A. Shirakawa, and T. Fuji, “Sub-5-fs transform-limited visible pulse source and its application to real-time spectroscopy,” IEEE J. Sel. Top. Quantum Electron. 7, 525–538 (2001).
[Crossref]

Sokolov, A. V.

Soljacic, M.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).
[Crossref] [PubMed]

Stegeman, G. I.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of Two-Dimensional Surface Solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

Stegeman,, G.

M. Segev and G. Stegeman, “Self-Trapping of Optical Beams: Spatial Solitons,” Phys. Today 51, 43–48 (1998).
[Crossref]

Sylvestre, T.

Tamosauskas, G.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

Trillo, S.

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, “Nolinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).
[Crossref] [PubMed]

Trull, J.

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, “Nolinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).
[Crossref] [PubMed]

Valiulis, G.

D. Faccio, A. Dubieties, G. Tamosauskas, P. Polesana, G. Valiulis, A. Piskarskas, A. Lotti, A. Couairon, and P. Di Trapani, “Phase- and group-matched nonlinear interactions mediated by multiple filamentation in Kerr media,” Phys. Rev. A 76, 055802 (2007).
[Crossref]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, “Nolinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).
[Crossref] [PubMed]

Vallée, R.

Wang, X.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of Two-Dimensional Surface Solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[Crossref] [PubMed]

Wu, J.

H. Zeng, J. Wu, H. Xu, and K. Wu, “Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium,” Phys. Rev. Lett. 96, 083902 (2006).
[Crossref] [PubMed]

Wu, K.

H. Zeng, J. Wu, H. Xu, and K. Wu, “Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium,” Phys. Rev. Lett. 96, 083902 (2006).
[Crossref] [PubMed]

Xu, H.

H. Zeng, J. Wu, H. Xu, and K. Wu, “Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium,” Phys. Rev. Lett. 96, 083902 (2006).
[Crossref] [PubMed]

Yamashita, M.

E. Matsubara, T. Sekikawa, and M. Yamashita, “Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature,” Appl. Phys. Lett. 92, 071104 (2008).
[Crossref]

Zeng, H.

H. Zeng, J. Wu, H. Xu, and K. Wu, “Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium,” Phys. Rev. Lett. 96, 083902 (2006).
[Crossref] [PubMed]

Zhang, J.

Zhi, M.

Appl. Phys. Lett. (1)

E. Matsubara, T. Sekikawa, and M. Yamashita, “Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature,” Appl. Phys. Lett. 92, 071104 (2008).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

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Figures (6)

Fig. 1.
Fig. 1. (a) Schematics of the experimental setup for multicolored array generation. α is the crossing angle between the two input beams, beam_1 and beam_2 in the air. θ is the rotation angle of the sapphire plate. (b) A photograph of the 2-D multicolored array on a UV light sensitive plate. (c) Definition of 2-D multicolored arrays, where B0,0 and B-1,0 refer to two incident beams, beam_1 and beam_2, respectively.
Fig. 2.
Fig. 2. (a) The spectra of array signals on the center row Bm,0, where beam_1 and beam_2 are two incident beams. (b) The spectra of array signals on the second column B2,n.
Fig. 3.
Fig. 3. (a) The spatial profiles of B0,0, B1,0, and B4,1 in one dimension. The inset patterns are spatial modals of B0,0, B1,0, and B4,1 from bottom to top, measured by a CCD camera. (b) The spatial profiles of B0,0, B1,0, and B4,1 in one dimension with logarithmic scale in the intensity. The cyan dashed line is the Gaussian fit of B0,0. The magenta dash-dotted line is the Lorentzian fit of B4,1. (c) The retrieved XFROG pulse trace and phase of the B1,0 with a retrieved error of 0.01022. The retrieved pulse duration is 35 ± 3fs. The inset pattern is the measured XFROG trace.
Fig. 4.
Fig. 4. (a) The output power of array signals on the 0, ±1, and ±2 rows when the power of the two incident beams, beam_1 and beam_2, were 0.1mW and 25mW, respectively. Only the signals in the center row are marked with star symbols and dashed line, as shown on the left. The inset figure shows the dependence of the output power of different sidebands on the input power of beam_2. (b) The power stabilities of B4, 0, B3, 1, and B1,0 monitored for 200 seconds, which were 1.25%RMS, 0.63%RMS, and 1.84% RMS, respectively.
Fig. 5.
Fig. 5. Photographs of 2-D multicolored arrays on a sheet of white paper when (a) the plane of polarization of the two input beams coincided with one of the crystal axes; (b) the sapphire plate rotated for 45°; (c) noise pattern; (d) and (e) show photographs with the sapphire plate rotated by -16° and 14°, respectively. (f) A photograph of the 2-D multicolored arrays on a UV light sensitive plate when the input power of beam_2 was increased to 27mW.
Fig. 6.
Fig. 6. The dependence of B1,0 output power (square symbols) and ∣χ(3)(θ)∣ (dashed line)of the sapphire plate on the rotation angle θ of the sapphire plate.

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