Abstract

A simulation model including the effects of nonlinear polarization of a background neutral gas on the propagation of intense short pulse lasers is presented. The model includes the finite response time of the gas by using a soft-core Coulombic potential for the bound electrons. A test problem for self-focusing of a pulse is presented. Agreement with theoretical predictions for the self-focusing of an intense laser pulse in a gas with a finite-response-time nonlinear polarization included is found.

© 1999 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
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1998 (1)

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

1996 (1)

P. Sprangle, E. Esarey, and J. Krall, Phys. Rev. E 54, 4211 (1996).
[CrossRef]

1995 (1)

1994 (1)

1993 (1)

1991 (1)

J. H. Eberly, J. Javanainen, and K. Rza??ewski, Phys. Rep. 204, 331 (1991).
[CrossRef]

1990 (1)

1987 (1)

G. Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Phys. Fluids 30, 526 (1987)D. C. Barnes, T. Kurki-Suonio, and T. Tajima, IEEE Trans. Plasma Sci. PS-15, 154 (1987)P. Sprangle, C. M. Tang, and E. Esarey, IEEE Trans. Plasma Sci. PS-15, 145 (1987).
[CrossRef]

1979 (1)

T. Tajima and J. M. Dawson, Phys. Rev. Lett. 43, 267 (1979).
[CrossRef]

1973 (1)

G. K. L. Wong and Y. R. Shen, Phys. Rev. Lett. 32, 527 (1973).
[CrossRef]

Ahn, H.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, San Diego, Calif., 1992).

Braun, A.

Clarke, C. W.

Dawson, J. M.

T. Tajima and J. M. Dawson, Phys. Rev. Lett. 43, 267 (1979).
[CrossRef]

Dewa, H.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Du, D.

Eberly, J. H.

J. H. Eberly, J. Javanainen, and K. Rza??ewski, Phys. Rep. 204, 331 (1991).
[CrossRef]

Esarey, E.

P. Sprangle, E. Esarey, and J. Krall, Phys. Rev. E 54, 4211 (1996).
[CrossRef]

Falcone, R. W.

Goorjian, P. M.

Gordan, S. P.

Guzdar, P.

G. Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Phys. Fluids 30, 526 (1987)D. C. Barnes, T. Kurki-Suonio, and T. Tajima, IEEE Trans. Plasma Sci. PS-15, 154 (1987)P. Sprangle, C. M. Tang, and E. Esarey, IEEE Trans. Plasma Sci. PS-15, 145 (1987).
[CrossRef]

Hamster, H.

Harano, H.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Javanainen, J.

J. H. Eberly, J. Javanainen, and K. Rza??ewski, Phys. Rep. 204, 331 (1991).
[CrossRef]

Joseph, R. M.

Kando, M.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Kinoshita, K.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Kondoh, S.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Korn, G.

Kotaki, H.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Krall, J.

P. Sprangle, E. Esarey, and J. Krall, Phys. Rev. E 54, 4211 (1996).
[CrossRef]

Lee, Y. C.

G. Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Phys. Fluids 30, 526 (1987)D. C. Barnes, T. Kurki-Suonio, and T. Tajima, IEEE Trans. Plasma Sci. PS-15, 154 (1987)P. Sprangle, C. M. Tang, and E. Esarey, IEEE Trans. Plasma Sci. PS-15, 145 (1987).
[CrossRef]

Lindman, E. L.

E. L. Lindman, J. Comp. Phys.18, 66 (1975).
[CrossRef]

Liu, X.

Mourou, G.

Nakajima, K.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Nakanishi, H.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Nathel, H.

Ogata, A.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Ott, E.

G. Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Phys. Fluids 30, 526 (1987)D. C. Barnes, T. Kurki-Suonio, and T. Tajima, IEEE Trans. Plasma Sci. PS-15, 154 (1987)P. Sprangle, C. M. Tang, and E. Esarey, IEEE Trans. Plasma Sci. PS-15, 145 (1987).
[CrossRef]

Pan, L.

Rza¸zewski, K.

J. H. Eberly, J. Javanainen, and K. Rza??ewski, Phys. Rep. 204, 331 (1991).
[CrossRef]

Sakai, H.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Shen, Y. R.

G. K. L. Wong and Y. R. Shen, Phys. Rev. Lett. 32, 527 (1973).
[CrossRef]

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).

Sprangle, P.

P. Sprangle, E. Esarey, and J. Krall, Phys. Rev. E 54, 4211 (1996).
[CrossRef]

Squier, J.

Sullivan, A.

Sun, G. Z.

G. Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Phys. Fluids 30, 526 (1987)D. C. Barnes, T. Kurki-Suonio, and T. Tajima, IEEE Trans. Plasma Sci. PS-15, 154 (1987)P. Sprangle, C. M. Tang, and E. Esarey, IEEE Trans. Plasma Sci. PS-15, 145 (1987).
[CrossRef]

Taflove, A.

Tajima, T.

T. Tajima and J. M. Dawson, Phys. Rev. Lett. 43, 267 (1979).
[CrossRef]

Taylor, K. T.

Ueda, T.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Uesaka, M.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Umstadter, D.

X. Liu and D. Umstadter, in Short Wavelength V:?Physics with Intense Laser Pulses, M. D. Perry and P. B. Corkum, eds., Vol. 17 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1993), p. 45.

Watanabe, T.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Wong, G. K. L.

G. K. L. Wong and Y. R. Shen, Phys. Rev. Lett. 32, 527 (1973).
[CrossRef]

Yoshii, K.

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nucl. Instrum. Methods Phys. Res. A (1)

H. Dewa, H. Ahn, H. Harano, M. Kando, K. Kinoshita, S. Kondoh, H. Kotaki, K. Nakajima, H. Nakanishi, A. Ogata, H. Sakai, M. Uesaka, T. Ueda, T. Watanabe, and K. Yoshii, Nucl. Instrum. Methods Phys. Res. A 410, 357 (1998).
[CrossRef]

Opt. Lett. (3)

Phys. Fluids (1)

G. Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Phys. Fluids 30, 526 (1987)D. C. Barnes, T. Kurki-Suonio, and T. Tajima, IEEE Trans. Plasma Sci. PS-15, 154 (1987)P. Sprangle, C. M. Tang, and E. Esarey, IEEE Trans. Plasma Sci. PS-15, 145 (1987).
[CrossRef]

Phys. Rep. (1)

J. H. Eberly, J. Javanainen, and K. Rza??ewski, Phys. Rep. 204, 331 (1991).
[CrossRef]

Phys. Rev. E (1)

P. Sprangle, E. Esarey, and J. Krall, Phys. Rev. E 54, 4211 (1996).
[CrossRef]

Phys. Rev. Lett. (2)

G. K. L. Wong and Y. R. Shen, Phys. Rev. Lett. 32, 527 (1973).
[CrossRef]

T. Tajima and J. M. Dawson, Phys. Rev. Lett. 43, 267 (1979).
[CrossRef]

Other (4)

X. Liu and D. Umstadter, in Short Wavelength V:?Physics with Intense Laser Pulses, M. D. Perry and P. B. Corkum, eds., Vol. 17 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1993), p. 45.

R. W. Boyd, Nonlinear Optics (Academic, San Diego, Calif., 1992).

E. L. Lindman, J. Comp. Phys.18, 66 (1975).
[CrossRef]

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).

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Figures (2)

Fig. 1
Fig. 1

Contour plot of the Ez component of the laser field after it propagates for 402  fs. The solid curves refer to positive values, and the dotted curves refer to negative values of the field. The simulation grid is moving to the right at velocity c. Only a portion of the entire grid is shown.

Fig. 2
Fig. 2

(a) Contour plot of the Ez component of the laser field after it propagates for 469  fs. Only a portion of the entire grid is shown. (b) Line profile of Ez down the center of the pulse at the same time. Ez is normalized so that all values lie between 0 and 255. (c) Contour plot of the Ez component at the same time in vacuum propagation.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

mdx2dt2+Γdxdt-Fx=qEt,
Ux=-q2a02+x2.
2Pt2+q5nn3mPP02+P23/2+ΓPt=q2nnmE,
n=1+4πa03nn1/2,n2=12π2n02ca07nnq2,
2At2-c2A=4πcJ+Pt,

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