Abstract

For an electron accelerated by a tightly focused Gaussian laser beam, its dynamics are usually simulated through the field obtained by Lax approach [Phys. Rev. A 11, 1365 (1975)]. However, as Lax series field (LSF) is not always convergent, the obtained results are usually inaccurate and even illogical. Here we report that the divergence of LSF can be eliminated by using Weniger transformation, and the electron dynamics simulated by this new field are logical and accurate.

© 2009 Optical Society of America

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  1. M. D. Perry, D. Pennington, B. C. Stuart, G. Tietbohl, J. A. Britten, C. Brown, S. Herman, B. Golick, M. Kartz, J. Miller, H. T. Powell, M. Vergino, V. Yanovsky, "Petawatt laser pulses," Opt. Lett. 24, 160-162 (1999).
    [CrossRef]
  2. Q1. E. Esarey, P. Sprangle, J. Krall, and A. Ting, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 252-288 (1996).
    [CrossRef]
  3. Y. I. Salamin and C. H. Kertel, "Electron acceleration by a tightly focused laser beam," Phys. Rev. Lett. 88, 095005 (2002).
    [CrossRef]
  4. N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
    [CrossRef]
  5. A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
    [CrossRef]
  6. S. X. Hu and A. F. Starace, "Laser acceleration of electrons to giga-electron-volt energies using highly charged ions," Phys. Rev. E 73, 066502 (2006).
    [CrossRef]
  7. M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975).
    [CrossRef]
  8. L. W. Davis, "Theory of electromagnetic beams," Phys. Rev. A 19, 1177-1179 (1979).
    [CrossRef]
  9. J. P. Barton and D. R. Alexander, "Fifth-order corrected electromagnetic field components for fundamental Gaussian beam," J. Appl. Phys. 66, 2800-2802 (1989).
    [CrossRef]
  10. Y. I. Salamin, "Fields of a Gaussian beam beyond the paraxial approximation," Appl. Phys. B 86, 319-326 (2007).
    [CrossRef]
  11. R. Borghi and M. Santarsiero, "Summing Lax series for nonparaxial beam propagation," Opt. Lett. 28, 774-776 (2003).
    [CrossRef]
  12. H. Luo, S. Y. Liu, Z. F. Lin, and C. T. Chan, "Method for accurate description of a radially polarized Gaussian laser beam beyond the paraxial approximation," Opt. Lett. 32, 1692-1694 (2007).
    [CrossRef]
  13. Q2. E. J. Weniger, "Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series, " Comput. Phys. Rep. 10, 189-371 (1989).
    [CrossRef]
  14. Q3. A. Doicu and T. Wriedt, "Plane wave spectrum of electromagnetic beams," Optics.Comm. 136, 114-124 (1997).

2007

2006

S. X. Hu and A. F. Starace, "Laser acceleration of electrons to giga-electron-volt energies using highly charged ions," Phys. Rev. E 73, 066502 (2006).
[CrossRef]

2005

A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
[CrossRef]

2003

2002

Y. I. Salamin and C. H. Kertel, "Electron acceleration by a tightly focused laser beam," Phys. Rev. Lett. 88, 095005 (2002).
[CrossRef]

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

1999

1997

Q3. A. Doicu and T. Wriedt, "Plane wave spectrum of electromagnetic beams," Optics.Comm. 136, 114-124 (1997).

1996

Q1. E. Esarey, P. Sprangle, J. Krall, and A. Ting, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 252-288 (1996).
[CrossRef]

1989

J. P. Barton and D. R. Alexander, "Fifth-order corrected electromagnetic field components for fundamental Gaussian beam," J. Appl. Phys. 66, 2800-2802 (1989).
[CrossRef]

Q2. E. J. Weniger, "Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series, " Comput. Phys. Rep. 10, 189-371 (1989).
[CrossRef]

1979

L. W. Davis, "Theory of electromagnetic beams," Phys. Rev. A 19, 1177-1179 (1979).
[CrossRef]

1975

M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975).
[CrossRef]

Agui, J. H.

A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
[CrossRef]

Alexander, D. R.

J. P. Barton and D. R. Alexander, "Fifth-order corrected electromagnetic field components for fundamental Gaussian beam," J. Appl. Phys. 66, 2800-2802 (1989).
[CrossRef]

Barton, J. P.

J. P. Barton and D. R. Alexander, "Fifth-order corrected electromagnetic field components for fundamental Gaussian beam," J. Appl. Phys. 66, 2800-2802 (1989).
[CrossRef]

Borghi, R.

Britten, J. A.

Brown, C.

Cao, N.

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Chan, C. T.

Davis, L. W.

L. W. Davis, "Theory of electromagnetic beams," Phys. Rev. A 19, 1177-1179 (1979).
[CrossRef]

Doicu, A.

Q3. A. Doicu and T. Wriedt, "Plane wave spectrum of electromagnetic beams," Optics.Comm. 136, 114-124 (1997).

Doney, R. L.

A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
[CrossRef]

Esarey, E.

Q1. E. Esarey, P. Sprangle, J. Krall, and A. Ting, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 252-288 (1996).
[CrossRef]

Golick, B.

Herman, S.

Ho, Y. K.

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Hu, S. X.

S. X. Hu and A. F. Starace, "Laser acceleration of electrons to giga-electron-volt energies using highly charged ions," Phys. Rev. E 73, 066502 (2006).
[CrossRef]

Ito, H.

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Kartz, M.

Kertel, C. H.

Y. I. Salamin and C. H. Kertel, "Electron acceleration by a tightly focused laser beam," Phys. Rev. Lett. 88, 095005 (2002).
[CrossRef]

Kong, Q.

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Krall, J.

Q1. E. Esarey, P. Sprangle, J. Krall, and A. Ting, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 252-288 (1996).
[CrossRef]

Lax, M.

M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975).
[CrossRef]

Lin, Z. F.

Liu, S. Y.

Louisell, W. H.

M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975).
[CrossRef]

Luo, H.

McKnight, W. B.

M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975).
[CrossRef]

Miller, J.

Nakagawa, M.

A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
[CrossRef]

Nishida, Y.

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Pennington, D.

Perry, M. D.

Pfannes, J. M. M.

A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
[CrossRef]

Powell, H. T.

Salamin, Y. I.

Y. I. Salamin, "Fields of a Gaussian beam beyond the paraxial approximation," Appl. Phys. B 86, 319-326 (2007).
[CrossRef]

Y. I. Salamin and C. H. Kertel, "Electron acceleration by a tightly focused laser beam," Phys. Rev. Lett. 88, 095005 (2002).
[CrossRef]

Santarsiero, M.

Sen, S.

A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
[CrossRef]

Sokolow, A.

A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
[CrossRef]

Sprangle, P.

Q1. E. Esarey, P. Sprangle, J. Krall, and A. Ting, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 252-288 (1996).
[CrossRef]

Starace, A. F.

S. X. Hu and A. F. Starace, "Laser acceleration of electrons to giga-electron-volt energies using highly charged ions," Phys. Rev. E 73, 066502 (2006).
[CrossRef]

Stuart, B. C.

Tietbohl, G.

Ting, A.

Q1. E. Esarey, P. Sprangle, J. Krall, and A. Ting, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 252-288 (1996).
[CrossRef]

Vergino, M.

Wang, P. X.

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Weniger, E. J.

Q2. E. J. Weniger, "Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series, " Comput. Phys. Rep. 10, 189-371 (1989).
[CrossRef]

Wriedt, T.

Q3. A. Doicu and T. Wriedt, "Plane wave spectrum of electromagnetic beams," Optics.Comm. 136, 114-124 (1997).

Yanovsky, V.

Yuan, X. Q.

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Yugami, N.

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Appl. Phys. B

Y. I. Salamin, "Fields of a Gaussian beam beyond the paraxial approximation," Appl. Phys. B 86, 319-326 (2007).
[CrossRef]

Appl. Phys. Lett.

A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, "Absorption of short duration pulses by small, scalable, tapered granular chains," Appl. Phys. Lett. 87, 254104 (2005).
[CrossRef]

Comm.

Q3. A. Doicu and T. Wriedt, "Plane wave spectrum of electromagnetic beams," Optics.Comm. 136, 114-124 (1997).

Comput. Phys. Rep.

Q2. E. J. Weniger, "Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series, " Comput. Phys. Rep. 10, 189-371 (1989).
[CrossRef]

IEEE Trans. Plasma Sci.

Q1. E. Esarey, P. Sprangle, J. Krall, and A. Ting, "Overview of plasma-based accelerator concepts," IEEE Trans. Plasma Sci. 24, 252-288 (1996).
[CrossRef]

J. Appl. Phys.

J. P. Barton and D. R. Alexander, "Fifth-order corrected electromagnetic field components for fundamental Gaussian beam," J. Appl. Phys. 66, 2800-2802 (1989).
[CrossRef]

Opt. Commun

N. Cao, Y. K. Ho, Q. Kong, P. X. Wang, X. Q. Yuan, Y. Nishida, N. Yugami, H. Ito, "Accurate description of Gaussian laser beams and electron dynamics," Opt. Commun 204, 7-15 (2002).
[CrossRef]

Opt. Lett.

Phys. Rev. A

M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975).
[CrossRef]

L. W. Davis, "Theory of electromagnetic beams," Phys. Rev. A 19, 1177-1179 (1979).
[CrossRef]

Phys. Rev. E

S. X. Hu and A. F. Starace, "Laser acceleration of electrons to giga-electron-volt energies using highly charged ions," Phys. Rev. E 73, 066502 (2006).
[CrossRef]

Phys. Rev. Lett.

Y. I. Salamin and C. H. Kertel, "Electron acceleration by a tightly focused laser beam," Phys. Rev. Lett. 88, 095005 (2002).
[CrossRef]

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