Abstract

We propose a direct electron acceleration scheme that uses a two-color pulsed radially polarized laser beam. The two-color scheme achieves electron acceleration exceeding 90% of the theoretical energy gain limit, over twice of what is possible with a one-color pulsed beam of equal total energy and pulse duration. The scheme succeeds by exploiting the Gouy phase shift to cause an acceleration-favoring interference of fields only as the electron enters its effectively final accelerating cycle. Optimization conditions and power scaling characteristics are discussed.

© 2011 Optical Society of America

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  1. V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  4. C. Varin, M. Piché, and M. A. Porras, Phys. Rev. E 71, 026603 (2005).
    [CrossRef]
  5. Y. I. Salamin, Phys. Rev. A 73, 043402 (2006).
    [CrossRef]
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    [CrossRef]
  7. A. Karmakar and A. Pukhov, Laser Part. Beams 25, 371(2007).
    [CrossRef]
  8. L. J. Wong and F. X. Kärtner, Opt. Express 18, 25035 (2010).
    [CrossRef] [PubMed]
  9. P.-L. Fortin, M. Piché, and C. Varin, J. Phys. B 43, 025401(2010).
    [CrossRef]
  10. H. Hora, Nature 333, 337 (1988).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  13. Y. I. Salamin, J. Phys. B 38, 4095 (2005).
    [CrossRef]
  14. Y. I. Salamin, Phys. Lett. A 375, 795 (2011).
    [CrossRef]

2011 (1)

Y. I. Salamin, Phys. Lett. A 375, 795 (2011).
[CrossRef]

2010 (2)

L. J. Wong and F. X. Kärtner, Opt. Express 18, 25035 (2010).
[CrossRef] [PubMed]

P.-L. Fortin, M. Piché, and C. Varin, J. Phys. B 43, 025401(2010).
[CrossRef]

2008 (1)

V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
[CrossRef]

2007 (2)

A. Karmakar and A. Pukhov, Laser Part. Beams 25, 371(2007).
[CrossRef]

Y. I. Salamin, Opt. Lett. 32, 90 (2007).
[CrossRef]

2006 (1)

Y. I. Salamin, Phys. Rev. A 73, 043402 (2006).
[CrossRef]

2005 (3)

C. Varin, M. Piché, and M. A. Porras, Phys. Rev. E 71, 026603 (2005).
[CrossRef]

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

Y. I. Salamin, J. Phys. B 38, 4095 (2005).
[CrossRef]

1997 (2)

G. Malka, E. Lefebvre, and J. L. Miquel, Phys. Rev. Lett. 78, 3314 (1997).
[CrossRef]

B. Hafizi, A. Ting, E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 55, 5924 (1997).
[CrossRef]

1995 (1)

E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 52, 5443(1995).
[CrossRef]

1988 (1)

H. Hora, Nature 333, 337 (1988).
[CrossRef]

Byer, R. L.

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

Colby, E.

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

Cowan, B.

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

Esarey, E.

B. Hafizi, A. Ting, E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 55, 5924 (1997).
[CrossRef]

E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 52, 5443(1995).
[CrossRef]

Faure, J.

V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
[CrossRef]

Fortin, P.-L.

P.-L. Fortin, M. Piché, and C. Varin, J. Phys. B 43, 025401(2010).
[CrossRef]

Gauduel, Y. A.

V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
[CrossRef]

Hafizi, B.

B. Hafizi, A. Ting, E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 55, 5924 (1997).
[CrossRef]

Hora, H.

H. Hora, Nature 333, 337 (1988).
[CrossRef]

Karmakar, A.

A. Karmakar and A. Pukhov, Laser Part. Beams 25, 371(2007).
[CrossRef]

Kärtner, F. X.

Krall, J.

B. Hafizi, A. Ting, E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 55, 5924 (1997).
[CrossRef]

E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 52, 5443(1995).
[CrossRef]

Lefebvre, E.

V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
[CrossRef]

G. Malka, E. Lefebvre, and J. L. Miquel, Phys. Rev. Lett. 78, 3314 (1997).
[CrossRef]

Malka, G.

G. Malka, E. Lefebvre, and J. L. Miquel, Phys. Rev. Lett. 78, 3314 (1997).
[CrossRef]

Malka, V.

V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
[CrossRef]

Miquel, J. L.

G. Malka, E. Lefebvre, and J. L. Miquel, Phys. Rev. Lett. 78, 3314 (1997).
[CrossRef]

Phuoc, K. T.

V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
[CrossRef]

Piché, M.

P.-L. Fortin, M. Piché, and C. Varin, J. Phys. B 43, 025401(2010).
[CrossRef]

C. Varin, M. Piché, and M. A. Porras, Phys. Rev. E 71, 026603 (2005).
[CrossRef]

Plettner, T.

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

Porras, M. A.

C. Varin, M. Piché, and M. A. Porras, Phys. Rev. E 71, 026603 (2005).
[CrossRef]

Pukhov, A.

A. Karmakar and A. Pukhov, Laser Part. Beams 25, 371(2007).
[CrossRef]

Rousse, A.

V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
[CrossRef]

Salamin, Y. I.

Y. I. Salamin, Phys. Lett. A 375, 795 (2011).
[CrossRef]

Y. I. Salamin, Opt. Lett. 32, 90 (2007).
[CrossRef]

Y. I. Salamin, Phys. Rev. A 73, 043402 (2006).
[CrossRef]

Y. I. Salamin, J. Phys. B 38, 4095 (2005).
[CrossRef]

Sears, C. M. S.

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

Siemann, R. H.

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

Spencer, J. E.

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

Sprangle, P.

B. Hafizi, A. Ting, E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 55, 5924 (1997).
[CrossRef]

E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 52, 5443(1995).
[CrossRef]

Ting, A.

B. Hafizi, A. Ting, E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 55, 5924 (1997).
[CrossRef]

Varin, C.

P.-L. Fortin, M. Piché, and C. Varin, J. Phys. B 43, 025401(2010).
[CrossRef]

C. Varin, M. Piché, and M. A. Porras, Phys. Rev. E 71, 026603 (2005).
[CrossRef]

Wong, L. J.

J. Phys. B (2)

P.-L. Fortin, M. Piché, and C. Varin, J. Phys. B 43, 025401(2010).
[CrossRef]

Y. I. Salamin, J. Phys. B 38, 4095 (2005).
[CrossRef]

Laser Part. Beams (1)

A. Karmakar and A. Pukhov, Laser Part. Beams 25, 371(2007).
[CrossRef]

Nature (1)

H. Hora, Nature 333, 337 (1988).
[CrossRef]

Nature Phys. (1)

V. Malka, J. Faure, Y. A. Gauduel, E. Lefebvre, A. Rousse, and K. T. Phuoc, Nature Phys. 4, 447 (2008).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Lett. A (1)

Y. I. Salamin, Phys. Lett. A 375, 795 (2011).
[CrossRef]

Phys. Rev. A (1)

Y. I. Salamin, Phys. Rev. A 73, 043402 (2006).
[CrossRef]

Phys. Rev. E (3)

C. Varin, M. Piché, and M. A. Porras, Phys. Rev. E 71, 026603 (2005).
[CrossRef]

E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 52, 5443(1995).
[CrossRef]

B. Hafizi, A. Ting, E. Esarey, P. Sprangle, and J. Krall, Phys. Rev. E 55, 5924 (1997).
[CrossRef]

Phys. Rev. Lett. (2)

T. Plettner, R. L. Byer, E. Colby, B. Cowan, C. M. S. Sears, J. E. Spencer, and R. H. Siemann, Phys. Rev. Lett. 95, 134801 (2005).
[CrossRef] [PubMed]

G. Malka, E. Lefebvre, and J. L. Miquel, Phys. Rev. Lett. 78, 3314 (1997).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Plots of h 0.5 [ sin ( ξ + ψ g ) + sin ( 2 ξ + ψ g ) ] for various ψ g .

Fig. 2
Fig. 2

Plots of (a) maximum normalized energy gain, (b) corresponding optimal ψ b (for two-color case), and (c) corresponding optimal normalized z ( 0 ) versus peak power.

Fig. 3
Fig. 3

Variation of kinetic energy with electron displacement of an electron hit by a pulse. In each case, w 0 = 2 μm and τ = 10 fs , with all other parameters optimized. Crosses on the solid curve indicate the positions where the Fig. 4 plots are generated.

Fig. 4
Fig. 4

E z profile of laser pulse at selected positions of the electron’s trajectory for the two-color P = 0.1 PW case in Fig. 3. Circles at z = z e indicate the electron’s position. (a), (b), (c), and (d) correspond respectively to the crosses in Fig. 3 from left to right.

Equations (1)

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E z = 4 η 0 P / π / [ z 0 ( 1 + ( z / z 0 ) 2 ) ] sech ( ( ξ + k z i ) / ξ 0 ) · { sin ( ( ξ + ψ a ) + ψ g + ψ b ) + sin ( 2 ( ξ + ψ a ) + ψ g + ψ b ) } ,

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