Abstract

We demonstrate that the interaction between a two-dimensional localized wave packet and a continuous-wave background can lead to efficient x-wave generation in nonlinear bidispersive optical systems. This x-wave generation process was found to depend on both the relative phase and amplitude of the background with respect to the superimposed wave packet. Pertinent configurations that lead to such generation are considered.

© 2005 Optical Society of America

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  1. P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
    [CrossRef]
  2. C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
    [CrossRef]
  3. J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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2005

2004

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef]

P. Di Trapani, Phys. Today 57(10), 25 (2004).

D. N. Christodoulides, N. K. Efremidis, P. Di Trapani, and B. A. Malomed, Opt. Lett. 29, 1446 (2004).
[CrossRef] [PubMed]

2003

A. Dubietis, G. Tamosauskas, I. Diomin, and A. Varanavicius, Opt. Lett. 28, 1269 (2003).
[CrossRef] [PubMed]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

1997

1996

J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

1994

1992

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, Phys. Rev. A 46, 4202 (1992).
[CrossRef] [PubMed]

J. E. Rothenberg, Opt. Lett. 17, 583 (1992).
[CrossRef] [PubMed]

J. Y. Lu and J. F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
[CrossRef]

1991

Agrawal, G. P.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, Phys. Rev. A 46, 4202 (1992).
[CrossRef] [PubMed]

Anderson, D.

Cao, X. D.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, Phys. Rev. A 46, 4202 (1992).
[CrossRef] [PubMed]

Christodoulides, D. N.

Conti, C.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

Danielius, R.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

Desaix, M.

Di Trapani, P.

D. N. Christodoulides, N. K. Efremidis, P. Di Trapani, and B. A. Malomed, Opt. Lett. 29, 1446 (2004).
[CrossRef] [PubMed]

P. Di Trapani, Phys. Today 57(10), 25 (2004).

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

Diomin, I.

Droulias, S.

Dubietis, A.

Efremidis, N. K.

Gaeta, A. L.

J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

Greenleaf, J. F.

J. Y. Lu and J. F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
[CrossRef]

Hizanidis, K.

Jedrkiewicz, O.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

Kolesik, M.

M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef]

Kominis, Y.

Kucinskas, E.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

Liou, L. W.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, Phys. Rev. A 46, 4202 (1992).
[CrossRef] [PubMed]

Lisak, M.

Lu, J. Y.

J. Y. Lu and J. F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
[CrossRef]

Luther, G. G.

Malomed, B. A.

Matijosius, A.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

McKinstrie, C. J.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, Phys. Rev. A 46, 4202 (1992).
[CrossRef] [PubMed]

Meier, J.

Moloney, J. V.

M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef]

G. G. Luther, A. C. Newell, J. V. Moloney, and E. M. Wright, Opt. Lett. 19, 789 (1994).
[CrossRef] [PubMed]

Newell, A. C.

Piskarskas, A.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

Ranka, J. K.

J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

Ratsep, M.

Rothenberg, J. E.

Saari, P.

Schirmer, R. W.

J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

Sonajalg, H.

Tamosauskas, G.

Trillo, S.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

Trull, J.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

Valiulis, G.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

Varanavicius, A.

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

A. Dubietis, G. Tamosauskas, I. Diomin, and A. Varanavicius, Opt. Lett. 28, 1269 (2003).
[CrossRef] [PubMed]

Wright, E. M.

M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef]

G. G. Luther, A. C. Newell, J. V. Moloney, and E. M. Wright, Opt. Lett. 19, 789 (1994).
[CrossRef] [PubMed]

IEEE Trans. Ultrason. Ferroelectr. Freq. Control

J. Y. Lu and J. F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Express

Opt. Lett.

Phys. Rev. A

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, Phys. Rev. A 46, 4202 (1992).
[CrossRef] [PubMed]

Phys. Rev. E

J. Trull, O. Jedrkiewicz, P. Di Trapani, A. Matijosius, A. Varanavicius, G. Valiulis, R. Danielius, E. Kucinskas, A. Piskarskas, and S. Trillo, Phys. Rev. E 69, 026607 (2004).
[CrossRef]

Phys. Rev. Lett.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef]

C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
[CrossRef]

M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef]

J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
[CrossRef] [PubMed]

Phys. Today

P. Di Trapani, Phys. Today 57(10), 25 (2004).

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Figures (4)

Fig. 1
Fig. 1

Output intensity profile resulting from a Gaussian wave packet at z = 15 mm ( Z = 5 ) when t FWHM = 112 fs ( ρ = 1 3 ) : (a) I max = 15 W μ m 2 ( A 2 = 8 3 , E = 2 E cr ), (b) I max = 30 W μ m 2 ( A 2 = 16 3 , E = 4 E cr ), and (c) under linear conditions. Vertical and horizontal axes, respectively, depict the time interval ( t = 1.35 1.35 ps ) and the transverse coordinate ( x = 315 315 μ m ) .

Fig. 2
Fig. 2

Output intensity profile resulting from a Gaussian wave packet at z = 15 mm ( Z = 5 ) when t FWHM = 112 fs ( ρ = 1 3 ) and I max = 15 W μ m 2 ( A 2 = 8 3 , E = 2 E cr ), in the presence of a cw with B = 0.1 A and phase φ of (a) 0, (b) π 2 , and (c) π in a linear medium. Vertical and horizontal axes, respectively, depict the time interval ( t = 1.35 1.35 ps ) and the transverse coordinate ( x = 315 315 μ m ) .

Fig. 3
Fig. 3

Output intensity profile resulting from a Gaussian wave packet at z = 15 mm ( Z = 5 ) when t FWHM = 112 fs ( ρ = 1 3 ) and I max = 15 W μ m 2 ( A 2 = 8 3 , E = 2 E cr ), in the presence of a cw with (a)–(c) B = 0.1 A , (d)–(f) B = 0.3 A , (g)–(i) B = 0.5 A ; and (a), (d), (g) φ = 0 ; (b), (e), (h) π 2 ; and (c), (f), (i) Π in a nonlinear medium. Vertical and horizontal axes, respectively, depict the time interval ( t = 1.35 1.35 ps ) and transverse coordinate ( x = 315 315 μ m ) .

Fig. 4
Fig. 4

Output power spectra corresponding to the conditions shown in Figs. 3(d), 3(e), 3(f). Frequency Ω (vertical axis) and transverse wave number K X (horizontal axis) are given in normalized units; Ω 0 = 2 π t 0 140 THz and K 0 = 2 π x 0 0.6 μ m 1 .

Equations (1)

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i U z + 2 U X 2 2 U T 2 + U 2 U = 0 ,

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