Abstract

The channeling of laser pulses in waveguides filled with a rare plasma is one of the promising techniques of laser wakefield acceleration. A solid-state capillary can precisely guide tightly focused pulses. Regardless of the material of the capillary, its walls behave like a plasma under the influence of a high-intensity laser pulse. Therefore, the waveguide modes in the capillaries have a universal structure, which depends only on the shape of the cross-section. Due to the large ratio of the capillary radius to the laser wavelength, the modes in circular capillaries differ from classical TE and TM modes. We consider the structure of capillary modes in a circular capillary, calculate the attenuation rates, discuss the mode expansion of the incident pulse using minimal simplifications, and analyze the accuracy of commonly used approximations. The attenuation length for such modes is two orders of magnitude longer than that obtained from the classical formula, and the incident pulse of the proper radius can transfer up to 98% of its initial energy to the fundamental mode. However, finding eigenmodes in capillaries of arbitrary cross-sections is a complex mathematical problem that remains to be solved.

© 2020 Optical Society of America

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2018 (2)

M. C. Downer, R. Zgadzaj, A. Debus, U. Schramm, and M. C. Kaluza, “Diagnostics for plasma-based electron accelerators,” Rev. Mod. Phys. 90, 035002 (2018).
[Crossref]

Z. Qin, W. Li, J. Liu, J. Liu, C. Yu, W. Wang, R. Qi, Z. Zhang, M. Fang, K. Feng, Y. Wu, L. Ke, Y. Chen, C. Wang, R. Li, and Z. Xu, “Hybrid capillary discharge waveguide for laser wakefield acceleration,” Phys. Plasmas 25, 073102 (2018).
[Crossref]

2017 (1)

A. Curcio, D. Giulietti, and M. Petrarca, “Tuning of betatron radiation in laser-plasma accelerators via multimodal laser propagation through capillary waveguides,” Phys. Plasmas 24, 023104 (2017).
[Crossref]

2016 (3)

S. Steinke, J. van Tilborg, C. Benedetti, C. G. R. Geddes, C. B. Schroeder, J. Daniels, K. K. Swanson, A. J. Gonsalves, K. Nakamura, N. H. Matlis, B. H. Shaw, E. Esarey, and W. P. Leemans, “Multistage coupling of independent laser-plasma accelerators,” Nature 530, 190–193 (2016).
[Crossref]

M. J. Hogan, “Electron and positron beam-driven plasma acceleration,” Rev. Accel Sci. Technol. 9, 63–83 (2016).
[Crossref]

E. Adli and P. Muggli, “Proton-beam-driven plasma acceleration,” Rev. Accel Sci. Technol. 9, 85–104 (2016).
[Crossref]

2015 (2)

A. J. Gonsalves, K. Nakamura, J. Daniels, H.-S. Mao, C. Benedetti, C. B. Schroeder, Cs. Toth, J. van Tilborg, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, E. Esarey, and W. P. Leemans, “Generation and pointing stabilization of multi-GeV electron beams from a laser plasma accelerator driven in a pre-formed plasma waveguide,” Phys. Plasmas 22, 056703 (2015).
[Crossref]

K. V. Lotov, K. V. Gubin, V. E. Leshchenko, V. I. Trunov, and E. V. Pestryakov, “Guiding femtosecond high-intensity high-contrast laser pulses by copper capillaries,” Phys. Plasmas 22, 103111 (2015).
[Crossref]

2014 (4)

N. E. Andreev, S. V. Kuznetsov, and M. E. Veysman, “Laser wakefield electron acceleration in capillary waveguides under non-symmetric coupling conditions,” Nucl. Instrum. Methods A 740, 273–279 (2014).
[Crossref]

W. P. Leemans, A. J. Gonsalves, H.-S. Mao, K. Nakamura, C. Benedetti, C. B. Schroeder, Cs. Toth, J. Daniels, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, and E. Esarey, “Multi-GeV electron beams from capillary-discharge-guided subpetawatt laser pulses in the self-trapping regime,” Phys. Rev. Lett. 113, 245002 (2014).
[Crossref]

M. Hansson, L. Senje, A. Persson, O. Lundh, C.-G. Wahlström, F. G. Desforges, J. Ju, T. L. Audet, B. Cros, S. D. Dufrenoy, and P. Monot, “Enhanced stability of laser wakefield acceleration using dielectric capillary tubes,” Phys. Rev. ST Accel. Beams 17, 031303 (2014).
[Crossref]

J. Ju, G. Genoud, H. E. Ferrari, O. Dadoun, B. Paradkar, K. Svensson, F. Wojda, M. Burza, A. Persson, O. Lundh, N. E. Andreev, C.-G. Wahlström, and B. Cros, “Analysis of x-ray emission and electron dynamics in a capillary-guided laser wakefield accelerator,” Phys. Rev. ST Accel. Beams 17, 051302 (2014).
[Crossref]

2013 (5)

J. Ju, K. Svensson, H. Ferrari, A. Döpp, G. Genoud, F. Wojda, M. Burza, A. Persson, O. Lundh, C.-G. Wahlström, and B. Cros, “Study of electron acceleration and x-ray radiation as a function of plasma density in capillary-guided laser wakefield accelerators,” Phys. Plasmas 20, 083106 (2013).
[Crossref]

A. Macchi, M. Borghesi, and M. Passoni, “Ion acceleration by superintense laser-plasma interaction,” Rev. Mod. Phys. 85, 751 (2013).
[Crossref]

S. M. Hooker, “Developments in laser-driven plasma accelerators,” Nat. Photonics 7, 775–782 (2013).
[Crossref]

B. S. Paradkar, B. Cros, P. Mora, and G. Maynard, “Numerical modeling of multi-GeV laser wakefield electron acceleration inside a dielectric capillary tube,” Phys. Plasmas 20, 083120 (2013).
[Crossref]

N. E. Andreev, V. E. Baranov, B. Cros, G. Maynard, P. Mora, and M. E. Veysman, “Laser wakefield compression and acceleration of externally injected electron bunches in guiding structures,” J. Plasma Phys. 79, 143–152 (2013).
[Crossref]

2012 (2)

M. Veysman, N. E. Andreev, G. Maynard, and B. Cros, “Nonsymmetric laser-pulse propagation in capillary tubes with variable radius,” Phys. Rev. E 86, 066411 (2012).
[Crossref]

V. Eremin, Yu. Malkov, V. Korolikhin, A. Kiselev, S. Skobelev, A. Stepanov, and N. Andreev, “Study of the plasma wave excited by intense femtosecond laser pulses in a dielectric capillary,” Phys. Plasmas 19, 093121 (2012).
[Crossref]

2011 (3)

G. Genoud, K. Cassou, F. Wojda, H. E. Ferrari, C. Kamperidis, M. Burza, A. Persson, J. Uhlig, S. Kneip, S. P. D. Mangles, A. Lifschitz, B. Cros, and C.-G. Wahlström, “Laser-plasma electron acceleration in dielectric capillary tubes,” Appl. Phys. B 105, 309 (2011).
[Crossref]

H. Lu, M. Liu, W. Wang, C. Wang, J. Liu, A. Deng, J. Xu, C. Xia, W. Li, H. Zhang, X. Lu, C. Wang, J. Wang, X. Liang, Y. Leng, B. Shen, K. Nakajima, R. Li, and Z. Xu, “Laser wakefield acceleration of electron beams beyond 1 GeV from an ablative capillary discharge waveguide,” Appl. Phys. Lett. 99, 091502 (2011).
[Crossref]

S. Cipiccia, M. R. Islam, B. Ersfeld, R. P. Shanks, E. Brunetti, G. Vieux, X. Yang, R. C. Issac, S. M. Wiggins, G. H. Welsh, M.-P. Anania, D. Maneuski, R. Montgomery, G. Smith, M. Hoek, D. J. Hamilton, N. R. C. Lemos, D. Symes, P. P. Rajeev, V. O. Shea, J. M. Dias, and D. A. Jaroszynski, “Gamma-rays from harmonically resonant betatron oscillations in a plasma wake,” Nat. Phys. 7, 867–871 (2011).
[Crossref]

2010 (1)

2009 (4)

Y. Mori, Y. Sentoku, K. Kondo, K. Tsuji, N. Nakanii, S. Fukumochi, M. Kashihara, K. Kimura, K. Takeda, K. A. Tanaka, T. Norimatsu, T. Tanimoto, H. Nakamura, M. Tampo, R. Kodama, E. Miura, K. Mima, and Y. Kitagawa, “Autoinjection of electrons into a wake field using a capillary with attached cone,” Phys. Plasmas 16, 123103 (2009).
[Crossref]

T. Kameshima, H. Kotaki, M. Kando, I. Daito, K. Kawase, Y. Fukuda, L. M. Chen, T. Homma, S. Kondo, T. Zh. Esirkepov, N. A. Bobrova, P. V. Sasorov, and S. V. Bulanov, “Laser pulse guiding and electron acceleration in the ablative capillary discharge plasma,” Phys. Plasmas 16, 093101 (2009).
[Crossref]

W. P. Leemans, E. Esarey, C. G. R. Geddes, Cs. Toth, C. B. Schroeder, K. Nakamura, A. J. Gonsalves, D. Panasenko, E. Cormier-Michel, G. R. Plateau, C. Lin, D. L. Bruhwiler, and J. R. Cary, “Progress on laser plasma accelerator development using transversely and longitudinally shaped plasmas,” C. R. Phys. 10, 130–139 (2009).
[Crossref]

E. Esarey, C. B. Schroeder, and W. P. Leemans, “Physics of laser-driven plasma-based electron accelerators,” Rev. Mod. Phys. 81, 1229 (2009).
[Crossref]

2007 (2)

S. Karsch, J. Osterhoff, A. Popp, T. P. Rowlands-Rees, Zs. Major, M. Fuchs, B. Marx, R. Horlein, K. Schmid, L. Veisz, S. Becker, U. Schramm, B. Hidding, G. Pretzler, D. Habs, F. Gruner, F. Krausz, and S. M. Hooker, “GeV-scale electron acceleration in a gas-filled capillary discharge waveguide,” New J. Phys. 9, 415 (2007).
[Crossref]

S. M. Hooker, E. Brunetti, E. Esarey, J. G. Gallacher, C. G. R. Geddes, A. J. Gonsalves, D. A. Jaroszynski, C. Kamperidis, S. Kneip, K. Krushelnick, W. P. Leemans, S. P. D. Mangles, C. D. Murphy, B. Nagler, Z. Najmudin, K. Nakamura, P. A. Norreys, D. Panasenko, T. P. Rowlands-Rees, C. B. Schroeder, Cs. Toth, and R. Trines, “GeV plasma accelerators driven in waveguides,” Plasma Phys. Controlled Fusion 49, B403 (2007).
[Crossref]

2006 (2)

W. P. Leemans, B. Nagler, A. J. Gonsalves, Cs. Toth, K. Nakamura, C. G. R. Geddes, E. Esarey, C. B. Schroeder, and S. M. Hooker, “GeV electron beams from a centimetre-scale accelerator,” Nat. Phys. 2, 696–699 (2006).
[Crossref]

M. Veysman, B. Cros, N. E. Andreev, and G. Maynard, “Theory and simulation of short intense laser pulse propagation in capillary tubes with wall ablation,” Phys. Plasmas 13, 053114 (2006).
[Crossref]

2004 (2)

I. A. Kotelnikov, “Attenuation in waveguide,” Tech. Phys. 49, 1196–1201 (2004).
[Crossref]

Y. Kitagawa, Y. Sentoku, S. Akamatsu, W. Sakamoto, R. Kodama, K. A. Tanaka, K. Azumi, T. Norimatsu, T. Matsuoka, H. Fujita, and H. Yoshida, “Electron acceleration in an ultraintense-laser-illuminated capillary,” Phys. Rev. Lett. 92, 205002 (2004).
[Crossref]

2002 (1)

B. Cros, C. Courtois, G. Matthieussent, A. Di Bernardo, D. Batani, N. Andreev, and S. Kuznetsov, “Eigenmodes for capillary tubes with dielectric walls and ultraintense pulse guiding,” Phys. Rev. E 65, 026405 (2002).
[Crossref]

2001 (2)

K. V. Lotov, “Laser wakefield acceleration in narrow plasma-filled channels,” Laser Part. Beams 19, 219–222 (2001).
[Crossref]

N. E. Andreev, C. Courtois, B. Cros, L. M. Gorbunov, and G. Matthieussent, “Nonlinear propagation of short intense laser pulses in a hollow metallic waveguide,” Phys. Rev. E 64, 016404 (2001).
[Crossref]

2000 (3)

J. R. Davies and J. T. Mendonca, “Basic physics of laser propagation in hollow waveguides,” Phys. Rev. E 62, 7168 (2000).
[Crossref]

B. Cros, C. Courtois, G. Malka, G. Matthieussent, J. R. Marques, F. Dorchies, F. Amiranoff, S. Rebibo, G. Hamoniaux, N. Blanchot, and J. L. Miquel, “Extending plasma accelerators: guiding with capillary tubes,” IEEE Trans. Plasma Sci. 28, 1071–1077 (2000).
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M. Borghesi, A. J. Mackinnon, R. Gaillard, G. Malka, C. Vickers, O. Willi, A. A. Offenberger, B. Canaud, J. L. Miquel, N. Blanchot, J. R. Davies, A. Pukhov, and J. Meyer-ter-Vehn, “Short pulse interaction experiments for fast ignitor applications,” Laser Part. Beams 18, 389–397 (2000).
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1999 (2)

F. Dorchies, J. R. Marques, B. Cros, G. Matthieussent, C. Courtois, T. Velikoroussov, P. Audebert, J. P. Geindre, S. Rebibo, G. Hamoniaux, and F. Amiranoff, “Monomode guiding of 1016 W/cm2 laser pulses over 100 Rayleigh length in hollow capillary dielectric tubes,” Phys. Rev. Lett. 82, 4655 (1999).
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K. V. Lotov, “Driver channeling for laser wakefield accelerator,” Part. Accel. 63, 139–146 (1999).

1998 (1)

M. Borghesi, A. J. Mackinnon, R. Gaillard, O. Willi, and A. A. Offenberger, “Guiding of a 10-TW picosecond laser pulse through hollow capillary tubes,” Phys. Rev. E 57, R4899 (1998).
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1995 (1)

D. F. Price, R. M. More, R. S. Walling, G. Guethlein, R. L. Shepherd, R. E. Stewart, and W. E. White, “Absorption of ultrashort laser pulses by solid targets heated rapidly to temperatures 1-1000 eV,” Phys. Rev. Lett. 75, 252 (1995).
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1964 (1)

E. A. J. Marcatili and R. A. Schmeltzer, “Hollow metallic and dielectric waveguides for long distance optical transmission and lasers,” Bell Syst. Tech. J. 43, 1783–1809 (1964).
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E. Adli and P. Muggli, “Proton-beam-driven plasma acceleration,” Rev. Accel Sci. Technol. 9, 85–104 (2016).
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Akamatsu, S.

Y. Kitagawa, Y. Sentoku, S. Akamatsu, W. Sakamoto, R. Kodama, K. A. Tanaka, K. Azumi, T. Norimatsu, T. Matsuoka, H. Fujita, and H. Yoshida, “Electron acceleration in an ultraintense-laser-illuminated capillary,” Phys. Rev. Lett. 92, 205002 (2004).
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Amiranoff, F.

B. Cros, C. Courtois, G. Malka, G. Matthieussent, J. R. Marques, F. Dorchies, F. Amiranoff, S. Rebibo, G. Hamoniaux, N. Blanchot, and J. L. Miquel, “Extending plasma accelerators: guiding with capillary tubes,” IEEE Trans. Plasma Sci. 28, 1071–1077 (2000).
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F. Dorchies, J. R. Marques, B. Cros, G. Matthieussent, C. Courtois, T. Velikoroussov, P. Audebert, J. P. Geindre, S. Rebibo, G. Hamoniaux, and F. Amiranoff, “Monomode guiding of 1016 W/cm2 laser pulses over 100 Rayleigh length in hollow capillary dielectric tubes,” Phys. Rev. Lett. 82, 4655 (1999).
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Anania, M.-P.

S. Cipiccia, M. R. Islam, B. Ersfeld, R. P. Shanks, E. Brunetti, G. Vieux, X. Yang, R. C. Issac, S. M. Wiggins, G. H. Welsh, M.-P. Anania, D. Maneuski, R. Montgomery, G. Smith, M. Hoek, D. J. Hamilton, N. R. C. Lemos, D. Symes, P. P. Rajeev, V. O. Shea, J. M. Dias, and D. A. Jaroszynski, “Gamma-rays from harmonically resonant betatron oscillations in a plasma wake,” Nat. Phys. 7, 867–871 (2011).
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Andreev, N.

V. Eremin, Yu. Malkov, V. Korolikhin, A. Kiselev, S. Skobelev, A. Stepanov, and N. Andreev, “Study of the plasma wave excited by intense femtosecond laser pulses in a dielectric capillary,” Phys. Plasmas 19, 093121 (2012).
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B. Cros, C. Courtois, G. Matthieussent, A. Di Bernardo, D. Batani, N. Andreev, and S. Kuznetsov, “Eigenmodes for capillary tubes with dielectric walls and ultraintense pulse guiding,” Phys. Rev. E 65, 026405 (2002).
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Andreev, N. E.

N. E. Andreev, S. V. Kuznetsov, and M. E. Veysman, “Laser wakefield electron acceleration in capillary waveguides under non-symmetric coupling conditions,” Nucl. Instrum. Methods A 740, 273–279 (2014).
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J. Ju, G. Genoud, H. E. Ferrari, O. Dadoun, B. Paradkar, K. Svensson, F. Wojda, M. Burza, A. Persson, O. Lundh, N. E. Andreev, C.-G. Wahlström, and B. Cros, “Analysis of x-ray emission and electron dynamics in a capillary-guided laser wakefield accelerator,” Phys. Rev. ST Accel. Beams 17, 051302 (2014).
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N. E. Andreev, V. E. Baranov, B. Cros, G. Maynard, P. Mora, and M. E. Veysman, “Laser wakefield compression and acceleration of externally injected electron bunches in guiding structures,” J. Plasma Phys. 79, 143–152 (2013).
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M. Veysman, N. E. Andreev, G. Maynard, and B. Cros, “Nonsymmetric laser-pulse propagation in capillary tubes with variable radius,” Phys. Rev. E 86, 066411 (2012).
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M. Veysman, N. E. Andreev, K. Cassou, Y. Ayoul, G. Maynard, and B. Cros, “Theoretical and experimental study of laser beam propagation in capillary tubes for non-symmetrical coupling conditions,” J. Opt. Soc. Am. B 27, 1400–1408 (2010).
[Crossref]

M. Veysman, B. Cros, N. E. Andreev, and G. Maynard, “Theory and simulation of short intense laser pulse propagation in capillary tubes with wall ablation,” Phys. Plasmas 13, 053114 (2006).
[Crossref]

N. E. Andreev, C. Courtois, B. Cros, L. M. Gorbunov, and G. Matthieussent, “Nonlinear propagation of short intense laser pulses in a hollow metallic waveguide,” Phys. Rev. E 64, 016404 (2001).
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Ashcroft, N. W.

N. W. Ashcroft and N. D. Mermin, Solid State Physics (International Thomson Edition, 1976).

Audebert, P.

F. Dorchies, J. R. Marques, B. Cros, G. Matthieussent, C. Courtois, T. Velikoroussov, P. Audebert, J. P. Geindre, S. Rebibo, G. Hamoniaux, and F. Amiranoff, “Monomode guiding of 1016 W/cm2 laser pulses over 100 Rayleigh length in hollow capillary dielectric tubes,” Phys. Rev. Lett. 82, 4655 (1999).
[Crossref]

Audet, T. L.

M. Hansson, L. Senje, A. Persson, O. Lundh, C.-G. Wahlström, F. G. Desforges, J. Ju, T. L. Audet, B. Cros, S. D. Dufrenoy, and P. Monot, “Enhanced stability of laser wakefield acceleration using dielectric capillary tubes,” Phys. Rev. ST Accel. Beams 17, 031303 (2014).
[Crossref]

Ayoul, Y.

Azumi, K.

Y. Kitagawa, Y. Sentoku, S. Akamatsu, W. Sakamoto, R. Kodama, K. A. Tanaka, K. Azumi, T. Norimatsu, T. Matsuoka, H. Fujita, and H. Yoshida, “Electron acceleration in an ultraintense-laser-illuminated capillary,” Phys. Rev. Lett. 92, 205002 (2004).
[Crossref]

Baranov, V. E.

N. E. Andreev, V. E. Baranov, B. Cros, G. Maynard, P. Mora, and M. E. Veysman, “Laser wakefield compression and acceleration of externally injected electron bunches in guiding structures,” J. Plasma Phys. 79, 143–152 (2013).
[Crossref]

Batani, D.

B. Cros, C. Courtois, G. Matthieussent, A. Di Bernardo, D. Batani, N. Andreev, and S. Kuznetsov, “Eigenmodes for capillary tubes with dielectric walls and ultraintense pulse guiding,” Phys. Rev. E 65, 026405 (2002).
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Becker, S.

S. Karsch, J. Osterhoff, A. Popp, T. P. Rowlands-Rees, Zs. Major, M. Fuchs, B. Marx, R. Horlein, K. Schmid, L. Veisz, S. Becker, U. Schramm, B. Hidding, G. Pretzler, D. Habs, F. Gruner, F. Krausz, and S. M. Hooker, “GeV-scale electron acceleration in a gas-filled capillary discharge waveguide,” New J. Phys. 9, 415 (2007).
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Benedetti, C.

S. Steinke, J. van Tilborg, C. Benedetti, C. G. R. Geddes, C. B. Schroeder, J. Daniels, K. K. Swanson, A. J. Gonsalves, K. Nakamura, N. H. Matlis, B. H. Shaw, E. Esarey, and W. P. Leemans, “Multistage coupling of independent laser-plasma accelerators,” Nature 530, 190–193 (2016).
[Crossref]

A. J. Gonsalves, K. Nakamura, J. Daniels, H.-S. Mao, C. Benedetti, C. B. Schroeder, Cs. Toth, J. van Tilborg, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, E. Esarey, and W. P. Leemans, “Generation and pointing stabilization of multi-GeV electron beams from a laser plasma accelerator driven in a pre-formed plasma waveguide,” Phys. Plasmas 22, 056703 (2015).
[Crossref]

W. P. Leemans, A. J. Gonsalves, H.-S. Mao, K. Nakamura, C. Benedetti, C. B. Schroeder, Cs. Toth, J. Daniels, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, and E. Esarey, “Multi-GeV electron beams from capillary-discharge-guided subpetawatt laser pulses in the self-trapping regime,” Phys. Rev. Lett. 113, 245002 (2014).
[Crossref]

Blanchot, N.

B. Cros, C. Courtois, G. Malka, G. Matthieussent, J. R. Marques, F. Dorchies, F. Amiranoff, S. Rebibo, G. Hamoniaux, N. Blanchot, and J. L. Miquel, “Extending plasma accelerators: guiding with capillary tubes,” IEEE Trans. Plasma Sci. 28, 1071–1077 (2000).
[Crossref]

M. Borghesi, A. J. Mackinnon, R. Gaillard, G. Malka, C. Vickers, O. Willi, A. A. Offenberger, B. Canaud, J. L. Miquel, N. Blanchot, J. R. Davies, A. Pukhov, and J. Meyer-ter-Vehn, “Short pulse interaction experiments for fast ignitor applications,” Laser Part. Beams 18, 389–397 (2000).
[Crossref]

Bobrova, N. A.

T. Kameshima, H. Kotaki, M. Kando, I. Daito, K. Kawase, Y. Fukuda, L. M. Chen, T. Homma, S. Kondo, T. Zh. Esirkepov, N. A. Bobrova, P. V. Sasorov, and S. V. Bulanov, “Laser pulse guiding and electron acceleration in the ablative capillary discharge plasma,” Phys. Plasmas 16, 093101 (2009).
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Borghesi, M.

A. Macchi, M. Borghesi, and M. Passoni, “Ion acceleration by superintense laser-plasma interaction,” Rev. Mod. Phys. 85, 751 (2013).
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M. Borghesi, A. J. Mackinnon, R. Gaillard, G. Malka, C. Vickers, O. Willi, A. A. Offenberger, B. Canaud, J. L. Miquel, N. Blanchot, J. R. Davies, A. Pukhov, and J. Meyer-ter-Vehn, “Short pulse interaction experiments for fast ignitor applications,” Laser Part. Beams 18, 389–397 (2000).
[Crossref]

M. Borghesi, A. J. Mackinnon, R. Gaillard, O. Willi, and A. A. Offenberger, “Guiding of a 10-TW picosecond laser pulse through hollow capillary tubes,” Phys. Rev. E 57, R4899 (1998).
[Crossref]

Bruhwiler, D. L.

W. P. Leemans, E. Esarey, C. G. R. Geddes, Cs. Toth, C. B. Schroeder, K. Nakamura, A. J. Gonsalves, D. Panasenko, E. Cormier-Michel, G. R. Plateau, C. Lin, D. L. Bruhwiler, and J. R. Cary, “Progress on laser plasma accelerator development using transversely and longitudinally shaped plasmas,” C. R. Phys. 10, 130–139 (2009).
[Crossref]

Brunetti, E.

S. Cipiccia, M. R. Islam, B. Ersfeld, R. P. Shanks, E. Brunetti, G. Vieux, X. Yang, R. C. Issac, S. M. Wiggins, G. H. Welsh, M.-P. Anania, D. Maneuski, R. Montgomery, G. Smith, M. Hoek, D. J. Hamilton, N. R. C. Lemos, D. Symes, P. P. Rajeev, V. O. Shea, J. M. Dias, and D. A. Jaroszynski, “Gamma-rays from harmonically resonant betatron oscillations in a plasma wake,” Nat. Phys. 7, 867–871 (2011).
[Crossref]

S. M. Hooker, E. Brunetti, E. Esarey, J. G. Gallacher, C. G. R. Geddes, A. J. Gonsalves, D. A. Jaroszynski, C. Kamperidis, S. Kneip, K. Krushelnick, W. P. Leemans, S. P. D. Mangles, C. D. Murphy, B. Nagler, Z. Najmudin, K. Nakamura, P. A. Norreys, D. Panasenko, T. P. Rowlands-Rees, C. B. Schroeder, Cs. Toth, and R. Trines, “GeV plasma accelerators driven in waveguides,” Plasma Phys. Controlled Fusion 49, B403 (2007).
[Crossref]

Bulanov, S. S.

A. J. Gonsalves, K. Nakamura, J. Daniels, H.-S. Mao, C. Benedetti, C. B. Schroeder, Cs. Toth, J. van Tilborg, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, E. Esarey, and W. P. Leemans, “Generation and pointing stabilization of multi-GeV electron beams from a laser plasma accelerator driven in a pre-formed plasma waveguide,” Phys. Plasmas 22, 056703 (2015).
[Crossref]

W. P. Leemans, A. J. Gonsalves, H.-S. Mao, K. Nakamura, C. Benedetti, C. B. Schroeder, Cs. Toth, J. Daniels, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, and E. Esarey, “Multi-GeV electron beams from capillary-discharge-guided subpetawatt laser pulses in the self-trapping regime,” Phys. Rev. Lett. 113, 245002 (2014).
[Crossref]

Bulanov, S. V.

T. Kameshima, H. Kotaki, M. Kando, I. Daito, K. Kawase, Y. Fukuda, L. M. Chen, T. Homma, S. Kondo, T. Zh. Esirkepov, N. A. Bobrova, P. V. Sasorov, and S. V. Bulanov, “Laser pulse guiding and electron acceleration in the ablative capillary discharge plasma,” Phys. Plasmas 16, 093101 (2009).
[Crossref]

Burza, M.

J. Ju, G. Genoud, H. E. Ferrari, O. Dadoun, B. Paradkar, K. Svensson, F. Wojda, M. Burza, A. Persson, O. Lundh, N. E. Andreev, C.-G. Wahlström, and B. Cros, “Analysis of x-ray emission and electron dynamics in a capillary-guided laser wakefield accelerator,” Phys. Rev. ST Accel. Beams 17, 051302 (2014).
[Crossref]

J. Ju, K. Svensson, H. Ferrari, A. Döpp, G. Genoud, F. Wojda, M. Burza, A. Persson, O. Lundh, C.-G. Wahlström, and B. Cros, “Study of electron acceleration and x-ray radiation as a function of plasma density in capillary-guided laser wakefield accelerators,” Phys. Plasmas 20, 083106 (2013).
[Crossref]

G. Genoud, K. Cassou, F. Wojda, H. E. Ferrari, C. Kamperidis, M. Burza, A. Persson, J. Uhlig, S. Kneip, S. P. D. Mangles, A. Lifschitz, B. Cros, and C.-G. Wahlström, “Laser-plasma electron acceleration in dielectric capillary tubes,” Appl. Phys. B 105, 309 (2011).
[Crossref]

Canaud, B.

M. Borghesi, A. J. Mackinnon, R. Gaillard, G. Malka, C. Vickers, O. Willi, A. A. Offenberger, B. Canaud, J. L. Miquel, N. Blanchot, J. R. Davies, A. Pukhov, and J. Meyer-ter-Vehn, “Short pulse interaction experiments for fast ignitor applications,” Laser Part. Beams 18, 389–397 (2000).
[Crossref]

Cary, J. R.

W. P. Leemans, E. Esarey, C. G. R. Geddes, Cs. Toth, C. B. Schroeder, K. Nakamura, A. J. Gonsalves, D. Panasenko, E. Cormier-Michel, G. R. Plateau, C. Lin, D. L. Bruhwiler, and J. R. Cary, “Progress on laser plasma accelerator development using transversely and longitudinally shaped plasmas,” C. R. Phys. 10, 130–139 (2009).
[Crossref]

Cassou, K.

G. Genoud, K. Cassou, F. Wojda, H. E. Ferrari, C. Kamperidis, M. Burza, A. Persson, J. Uhlig, S. Kneip, S. P. D. Mangles, A. Lifschitz, B. Cros, and C.-G. Wahlström, “Laser-plasma electron acceleration in dielectric capillary tubes,” Appl. Phys. B 105, 309 (2011).
[Crossref]

M. Veysman, N. E. Andreev, K. Cassou, Y. Ayoul, G. Maynard, and B. Cros, “Theoretical and experimental study of laser beam propagation in capillary tubes for non-symmetrical coupling conditions,” J. Opt. Soc. Am. B 27, 1400–1408 (2010).
[Crossref]

Chen, L. M.

T. Kameshima, H. Kotaki, M. Kando, I. Daito, K. Kawase, Y. Fukuda, L. M. Chen, T. Homma, S. Kondo, T. Zh. Esirkepov, N. A. Bobrova, P. V. Sasorov, and S. V. Bulanov, “Laser pulse guiding and electron acceleration in the ablative capillary discharge plasma,” Phys. Plasmas 16, 093101 (2009).
[Crossref]

Chen, Y.

Z. Qin, W. Li, J. Liu, J. Liu, C. Yu, W. Wang, R. Qi, Z. Zhang, M. Fang, K. Feng, Y. Wu, L. Ke, Y. Chen, C. Wang, R. Li, and Z. Xu, “Hybrid capillary discharge waveguide for laser wakefield acceleration,” Phys. Plasmas 25, 073102 (2018).
[Crossref]

Cipiccia, S.

S. Cipiccia, M. R. Islam, B. Ersfeld, R. P. Shanks, E. Brunetti, G. Vieux, X. Yang, R. C. Issac, S. M. Wiggins, G. H. Welsh, M.-P. Anania, D. Maneuski, R. Montgomery, G. Smith, M. Hoek, D. J. Hamilton, N. R. C. Lemos, D. Symes, P. P. Rajeev, V. O. Shea, J. M. Dias, and D. A. Jaroszynski, “Gamma-rays from harmonically resonant betatron oscillations in a plasma wake,” Nat. Phys. 7, 867–871 (2011).
[Crossref]

Cormier-Michel, E.

W. P. Leemans, E. Esarey, C. G. R. Geddes, Cs. Toth, C. B. Schroeder, K. Nakamura, A. J. Gonsalves, D. Panasenko, E. Cormier-Michel, G. R. Plateau, C. Lin, D. L. Bruhwiler, and J. R. Cary, “Progress on laser plasma accelerator development using transversely and longitudinally shaped plasmas,” C. R. Phys. 10, 130–139 (2009).
[Crossref]

Courtois, C.

B. Cros, C. Courtois, G. Matthieussent, A. Di Bernardo, D. Batani, N. Andreev, and S. Kuznetsov, “Eigenmodes for capillary tubes with dielectric walls and ultraintense pulse guiding,” Phys. Rev. E 65, 026405 (2002).
[Crossref]

N. E. Andreev, C. Courtois, B. Cros, L. M. Gorbunov, and G. Matthieussent, “Nonlinear propagation of short intense laser pulses in a hollow metallic waveguide,” Phys. Rev. E 64, 016404 (2001).
[Crossref]

B. Cros, C. Courtois, G. Malka, G. Matthieussent, J. R. Marques, F. Dorchies, F. Amiranoff, S. Rebibo, G. Hamoniaux, N. Blanchot, and J. L. Miquel, “Extending plasma accelerators: guiding with capillary tubes,” IEEE Trans. Plasma Sci. 28, 1071–1077 (2000).
[Crossref]

F. Dorchies, J. R. Marques, B. Cros, G. Matthieussent, C. Courtois, T. Velikoroussov, P. Audebert, J. P. Geindre, S. Rebibo, G. Hamoniaux, and F. Amiranoff, “Monomode guiding of 1016 W/cm2 laser pulses over 100 Rayleigh length in hollow capillary dielectric tubes,” Phys. Rev. Lett. 82, 4655 (1999).
[Crossref]

Cros, B.

J. Ju, G. Genoud, H. E. Ferrari, O. Dadoun, B. Paradkar, K. Svensson, F. Wojda, M. Burza, A. Persson, O. Lundh, N. E. Andreev, C.-G. Wahlström, and B. Cros, “Analysis of x-ray emission and electron dynamics in a capillary-guided laser wakefield accelerator,” Phys. Rev. ST Accel. Beams 17, 051302 (2014).
[Crossref]

M. Hansson, L. Senje, A. Persson, O. Lundh, C.-G. Wahlström, F. G. Desforges, J. Ju, T. L. Audet, B. Cros, S. D. Dufrenoy, and P. Monot, “Enhanced stability of laser wakefield acceleration using dielectric capillary tubes,” Phys. Rev. ST Accel. Beams 17, 031303 (2014).
[Crossref]

J. Ju, K. Svensson, H. Ferrari, A. Döpp, G. Genoud, F. Wojda, M. Burza, A. Persson, O. Lundh, C.-G. Wahlström, and B. Cros, “Study of electron acceleration and x-ray radiation as a function of plasma density in capillary-guided laser wakefield accelerators,” Phys. Plasmas 20, 083106 (2013).
[Crossref]

B. S. Paradkar, B. Cros, P. Mora, and G. Maynard, “Numerical modeling of multi-GeV laser wakefield electron acceleration inside a dielectric capillary tube,” Phys. Plasmas 20, 083120 (2013).
[Crossref]

N. E. Andreev, V. E. Baranov, B. Cros, G. Maynard, P. Mora, and M. E. Veysman, “Laser wakefield compression and acceleration of externally injected electron bunches in guiding structures,” J. Plasma Phys. 79, 143–152 (2013).
[Crossref]

M. Veysman, N. E. Andreev, G. Maynard, and B. Cros, “Nonsymmetric laser-pulse propagation in capillary tubes with variable radius,” Phys. Rev. E 86, 066411 (2012).
[Crossref]

G. Genoud, K. Cassou, F. Wojda, H. E. Ferrari, C. Kamperidis, M. Burza, A. Persson, J. Uhlig, S. Kneip, S. P. D. Mangles, A. Lifschitz, B. Cros, and C.-G. Wahlström, “Laser-plasma electron acceleration in dielectric capillary tubes,” Appl. Phys. B 105, 309 (2011).
[Crossref]

M. Veysman, N. E. Andreev, K. Cassou, Y. Ayoul, G. Maynard, and B. Cros, “Theoretical and experimental study of laser beam propagation in capillary tubes for non-symmetrical coupling conditions,” J. Opt. Soc. Am. B 27, 1400–1408 (2010).
[Crossref]

M. Veysman, B. Cros, N. E. Andreev, and G. Maynard, “Theory and simulation of short intense laser pulse propagation in capillary tubes with wall ablation,” Phys. Plasmas 13, 053114 (2006).
[Crossref]

B. Cros, C. Courtois, G. Matthieussent, A. Di Bernardo, D. Batani, N. Andreev, and S. Kuznetsov, “Eigenmodes for capillary tubes with dielectric walls and ultraintense pulse guiding,” Phys. Rev. E 65, 026405 (2002).
[Crossref]

N. E. Andreev, C. Courtois, B. Cros, L. M. Gorbunov, and G. Matthieussent, “Nonlinear propagation of short intense laser pulses in a hollow metallic waveguide,” Phys. Rev. E 64, 016404 (2001).
[Crossref]

B. Cros, C. Courtois, G. Malka, G. Matthieussent, J. R. Marques, F. Dorchies, F. Amiranoff, S. Rebibo, G. Hamoniaux, N. Blanchot, and J. L. Miquel, “Extending plasma accelerators: guiding with capillary tubes,” IEEE Trans. Plasma Sci. 28, 1071–1077 (2000).
[Crossref]

F. Dorchies, J. R. Marques, B. Cros, G. Matthieussent, C. Courtois, T. Velikoroussov, P. Audebert, J. P. Geindre, S. Rebibo, G. Hamoniaux, and F. Amiranoff, “Monomode guiding of 1016 W/cm2 laser pulses over 100 Rayleigh length in hollow capillary dielectric tubes,” Phys. Rev. Lett. 82, 4655 (1999).
[Crossref]

Curcio, A.

A. Curcio, D. Giulietti, and M. Petrarca, “Tuning of betatron radiation in laser-plasma accelerators via multimodal laser propagation through capillary waveguides,” Phys. Plasmas 24, 023104 (2017).
[Crossref]

Dadoun, O.

J. Ju, G. Genoud, H. E. Ferrari, O. Dadoun, B. Paradkar, K. Svensson, F. Wojda, M. Burza, A. Persson, O. Lundh, N. E. Andreev, C.-G. Wahlström, and B. Cros, “Analysis of x-ray emission and electron dynamics in a capillary-guided laser wakefield accelerator,” Phys. Rev. ST Accel. Beams 17, 051302 (2014).
[Crossref]

Daito, I.

T. Kameshima, H. Kotaki, M. Kando, I. Daito, K. Kawase, Y. Fukuda, L. M. Chen, T. Homma, S. Kondo, T. Zh. Esirkepov, N. A. Bobrova, P. V. Sasorov, and S. V. Bulanov, “Laser pulse guiding and electron acceleration in the ablative capillary discharge plasma,” Phys. Plasmas 16, 093101 (2009).
[Crossref]

Daniels, J.

S. Steinke, J. van Tilborg, C. Benedetti, C. G. R. Geddes, C. B. Schroeder, J. Daniels, K. K. Swanson, A. J. Gonsalves, K. Nakamura, N. H. Matlis, B. H. Shaw, E. Esarey, and W. P. Leemans, “Multistage coupling of independent laser-plasma accelerators,” Nature 530, 190–193 (2016).
[Crossref]

A. J. Gonsalves, K. Nakamura, J. Daniels, H.-S. Mao, C. Benedetti, C. B. Schroeder, Cs. Toth, J. van Tilborg, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, E. Esarey, and W. P. Leemans, “Generation and pointing stabilization of multi-GeV electron beams from a laser plasma accelerator driven in a pre-formed plasma waveguide,” Phys. Plasmas 22, 056703 (2015).
[Crossref]

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A. J. Gonsalves, K. Nakamura, J. Daniels, H.-S. Mao, C. Benedetti, C. B. Schroeder, Cs. Toth, J. van Tilborg, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, E. Esarey, and W. P. Leemans, “Generation and pointing stabilization of multi-GeV electron beams from a laser plasma accelerator driven in a pre-formed plasma waveguide,” Phys. Plasmas 22, 056703 (2015).
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W. P. Leemans, A. J. Gonsalves, H.-S. Mao, K. Nakamura, C. Benedetti, C. B. Schroeder, Cs. Toth, J. Daniels, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, and E. Esarey, “Multi-GeV electron beams from capillary-discharge-guided subpetawatt laser pulses in the self-trapping regime,” Phys. Rev. Lett. 113, 245002 (2014).
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W. P. Leemans, E. Esarey, C. G. R. Geddes, Cs. Toth, C. B. Schroeder, K. Nakamura, A. J. Gonsalves, D. Panasenko, E. Cormier-Michel, G. R. Plateau, C. Lin, D. L. Bruhwiler, and J. R. Cary, “Progress on laser plasma accelerator development using transversely and longitudinally shaped plasmas,” C. R. Phys. 10, 130–139 (2009).
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S. M. Hooker, E. Brunetti, E. Esarey, J. G. Gallacher, C. G. R. Geddes, A. J. Gonsalves, D. A. Jaroszynski, C. Kamperidis, S. Kneip, K. Krushelnick, W. P. Leemans, S. P. D. Mangles, C. D. Murphy, B. Nagler, Z. Najmudin, K. Nakamura, P. A. Norreys, D. Panasenko, T. P. Rowlands-Rees, C. B. Schroeder, Cs. Toth, and R. Trines, “GeV plasma accelerators driven in waveguides,” Plasma Phys. Controlled Fusion 49, B403 (2007).
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W. P. Leemans, B. Nagler, A. J. Gonsalves, Cs. Toth, K. Nakamura, C. G. R. Geddes, E. Esarey, C. B. Schroeder, and S. M. Hooker, “GeV electron beams from a centimetre-scale accelerator,” Nat. Phys. 2, 696–699 (2006).
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F. Dorchies, J. R. Marques, B. Cros, G. Matthieussent, C. Courtois, T. Velikoroussov, P. Audebert, J. P. Geindre, S. Rebibo, G. Hamoniaux, and F. Amiranoff, “Monomode guiding of 1016 W/cm2 laser pulses over 100 Rayleigh length in hollow capillary dielectric tubes,” Phys. Rev. Lett. 82, 4655 (1999).
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J. Ju, G. Genoud, H. E. Ferrari, O. Dadoun, B. Paradkar, K. Svensson, F. Wojda, M. Burza, A. Persson, O. Lundh, N. E. Andreev, C.-G. Wahlström, and B. Cros, “Analysis of x-ray emission and electron dynamics in a capillary-guided laser wakefield accelerator,” Phys. Rev. ST Accel. Beams 17, 051302 (2014).
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J. Ju, K. Svensson, H. Ferrari, A. Döpp, G. Genoud, F. Wojda, M. Burza, A. Persson, O. Lundh, C.-G. Wahlström, and B. Cros, “Study of electron acceleration and x-ray radiation as a function of plasma density in capillary-guided laser wakefield accelerators,” Phys. Plasmas 20, 083106 (2013).
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G. Genoud, K. Cassou, F. Wojda, H. E. Ferrari, C. Kamperidis, M. Burza, A. Persson, J. Uhlig, S. Kneip, S. P. D. Mangles, A. Lifschitz, B. Cros, and C.-G. Wahlström, “Laser-plasma electron acceleration in dielectric capillary tubes,” Appl. Phys. B 105, 309 (2011).
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S. Steinke, J. van Tilborg, C. Benedetti, C. G. R. Geddes, C. B. Schroeder, J. Daniels, K. K. Swanson, A. J. Gonsalves, K. Nakamura, N. H. Matlis, B. H. Shaw, E. Esarey, and W. P. Leemans, “Multistage coupling of independent laser-plasma accelerators,” Nature 530, 190–193 (2016).
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A. J. Gonsalves, K. Nakamura, J. Daniels, H.-S. Mao, C. Benedetti, C. B. Schroeder, Cs. Toth, J. van Tilborg, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, E. Esarey, and W. P. Leemans, “Generation and pointing stabilization of multi-GeV electron beams from a laser plasma accelerator driven in a pre-formed plasma waveguide,” Phys. Plasmas 22, 056703 (2015).
[Crossref]

W. P. Leemans, A. J. Gonsalves, H.-S. Mao, K. Nakamura, C. Benedetti, C. B. Schroeder, Cs. Toth, J. Daniels, D. E. Mittelberger, S. S. Bulanov, J.-L. Vay, C. G. R. Geddes, and E. Esarey, “Multi-GeV electron beams from capillary-discharge-guided subpetawatt laser pulses in the self-trapping regime,” Phys. Rev. Lett. 113, 245002 (2014).
[Crossref]

W. P. Leemans, E. Esarey, C. G. R. Geddes, Cs. Toth, C. B. Schroeder, K. Nakamura, A. J. Gonsalves, D. Panasenko, E. Cormier-Michel, G. R. Plateau, C. Lin, D. L. Bruhwiler, and J. R. Cary, “Progress on laser plasma accelerator development using transversely and longitudinally shaped plasmas,” C. R. Phys. 10, 130–139 (2009).
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S. M. Hooker, E. Brunetti, E. Esarey, J. G. Gallacher, C. G. R. Geddes, A. J. Gonsalves, D. A. Jaroszynski, C. Kamperidis, S. Kneip, K. Krushelnick, W. P. Leemans, S. P. D. Mangles, C. D. Murphy, B. Nagler, Z. Najmudin, K. Nakamura, P. A. Norreys, D. Panasenko, T. P. Rowlands-Rees, C. B. Schroeder, Cs. Toth, and R. Trines, “GeV plasma accelerators driven in waveguides,” Plasma Phys. Controlled Fusion 49, B403 (2007).
[Crossref]

W. P. Leemans, B. Nagler, A. J. Gonsalves, Cs. Toth, K. Nakamura, C. G. R. Geddes, E. Esarey, C. B. Schroeder, and S. M. Hooker, “GeV electron beams from a centimetre-scale accelerator,” Nat. Phys. 2, 696–699 (2006).
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S. Karsch, J. Osterhoff, A. Popp, T. P. Rowlands-Rees, Zs. Major, M. Fuchs, B. Marx, R. Horlein, K. Schmid, L. Veisz, S. Becker, U. Schramm, B. Hidding, G. Pretzler, D. Habs, F. Gruner, F. Krausz, and S. M. Hooker, “GeV-scale electron acceleration in a gas-filled capillary discharge waveguide,” New J. Phys. 9, 415 (2007).
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S. Cipiccia, M. R. Islam, B. Ersfeld, R. P. Shanks, E. Brunetti, G. Vieux, X. Yang, R. C. Issac, S. M. Wiggins, G. H. Welsh, M.-P. Anania, D. Maneuski, R. Montgomery, G. Smith, M. Hoek, D. J. Hamilton, N. R. C. Lemos, D. Symes, P. P. Rajeev, V. O. Shea, J. M. Dias, and D. A. Jaroszynski, “Gamma-rays from harmonically resonant betatron oscillations in a plasma wake,” Nat. Phys. 7, 867–871 (2011).
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B. Cros, C. Courtois, G. Malka, G. Matthieussent, J. R. Marques, F. Dorchies, F. Amiranoff, S. Rebibo, G. Hamoniaux, N. Blanchot, and J. L. Miquel, “Extending plasma accelerators: guiding with capillary tubes,” IEEE Trans. Plasma Sci. 28, 1071–1077 (2000).
[Crossref]

F. Dorchies, J. R. Marques, B. Cros, G. Matthieussent, C. Courtois, T. Velikoroussov, P. Audebert, J. P. Geindre, S. Rebibo, G. Hamoniaux, and F. Amiranoff, “Monomode guiding of 1016 W/cm2 laser pulses over 100 Rayleigh length in hollow capillary dielectric tubes,” Phys. Rev. Lett. 82, 4655 (1999).
[Crossref]

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M. Hansson, L. Senje, A. Persson, O. Lundh, C.-G. Wahlström, F. G. Desforges, J. Ju, T. L. Audet, B. Cros, S. D. Dufrenoy, and P. Monot, “Enhanced stability of laser wakefield acceleration using dielectric capillary tubes,” Phys. Rev. ST Accel. Beams 17, 031303 (2014).
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Hidding, B.

S. Karsch, J. Osterhoff, A. Popp, T. P. Rowlands-Rees, Zs. Major, M. Fuchs, B. Marx, R. Horlein, K. Schmid, L. Veisz, S. Becker, U. Schramm, B. Hidding, G. Pretzler, D. Habs, F. Gruner, F. Krausz, and S. M. Hooker, “GeV-scale electron acceleration in a gas-filled capillary discharge waveguide,” New J. Phys. 9, 415 (2007).
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S. Cipiccia, M. R. Islam, B. Ersfeld, R. P. Shanks, E. Brunetti, G. Vieux, X. Yang, R. C. Issac, S. M. Wiggins, G. H. Welsh, M.-P. Anania, D. Maneuski, R. Montgomery, G. Smith, M. Hoek, D. J. Hamilton, N. R. C. Lemos, D. Symes, P. P. Rajeev, V. O. Shea, J. M. Dias, and D. A. Jaroszynski, “Gamma-rays from harmonically resonant betatron oscillations in a plasma wake,” Nat. Phys. 7, 867–871 (2011).
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T. Kameshima, H. Kotaki, M. Kando, I. Daito, K. Kawase, Y. Fukuda, L. M. Chen, T. Homma, S. Kondo, T. Zh. Esirkepov, N. A. Bobrova, P. V. Sasorov, and S. V. Bulanov, “Laser pulse guiding and electron acceleration in the ablative capillary discharge plasma,” Phys. Plasmas 16, 093101 (2009).
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N. E. Andreev, S. V. Kuznetsov, and M. E. Veysman, “Laser wakefield electron acceleration in capillary waveguides under non-symmetric coupling conditions,” Nucl. Instrum. Methods A 740, 273–279 (2014).
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G. Genoud, K. Cassou, F. Wojda, H. E. Ferrari, C. Kamperidis, M. Burza, A. Persson, J. Uhlig, S. Kneip, S. P. D. Mangles, A. Lifschitz, B. Cros, and C.-G. Wahlström, “Laser-plasma electron acceleration in dielectric capillary tubes,” Appl. Phys. B 105, 309 (2011).
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Z. Qin, W. Li, J. Liu, J. Liu, C. Yu, W. Wang, R. Qi, Z. Zhang, M. Fang, K. Feng, Y. Wu, L. Ke, Y. Chen, C. Wang, R. Li, and Z. Xu, “Hybrid capillary discharge waveguide for laser wakefield acceleration,” Phys. Plasmas 25, 073102 (2018).
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H. Lu, M. Liu, W. Wang, C. Wang, J. Liu, A. Deng, J. Xu, C. Xia, W. Li, H. Zhang, X. Lu, C. Wang, J. Wang, X. Liang, Y. Leng, B. Shen, K. Nakajima, R. Li, and Z. Xu, “Laser wakefield acceleration of electron beams beyond 1 GeV from an ablative capillary discharge waveguide,” Appl. Phys. Lett. 99, 091502 (2011).
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Z. Qin, W. Li, J. Liu, J. Liu, C. Yu, W. Wang, R. Qi, Z. Zhang, M. Fang, K. Feng, Y. Wu, L. Ke, Y. Chen, C. Wang, R. Li, and Z. Xu, “Hybrid capillary discharge waveguide for laser wakefield acceleration,” Phys. Plasmas 25, 073102 (2018).
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Z. Qin, W. Li, J. Liu, J. Liu, C. Yu, W. Wang, R. Qi, Z. Zhang, M. Fang, K. Feng, Y. Wu, L. Ke, Y. Chen, C. Wang, R. Li, and Z. Xu, “Hybrid capillary discharge waveguide for laser wakefield acceleration,” Phys. Plasmas 25, 073102 (2018).
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M. Borghesi, A. J. Mackinnon, R. Gaillard, O. Willi, and A. A. Offenberger, “Guiding of a 10-TW picosecond laser pulse through hollow capillary tubes,” Phys. Rev. E 57, R4899 (1998).
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Figures (5)

Fig. 1.
Fig. 1. Attenuation rate for modes (a) ${R}_{11}$ or ${{\rm TM}}_{11}$ and (b) ${R}_{13}$ or ${{\rm TM}}_{13}$ calculated from classical formula (19) (curves, C), approximate expression (23) (A), and numerically solved Eq. (10) (N). Black dots on curve N are obtained by solving Eq. (15). Thin vertical lines mark the boundary between approximations ($\delta {=1}$), and dotted vertical lines show the considered parameter set.
Fig. 2.
Fig. 2. Attenuation rates for various modes, obtained numerically (exact) and with approximation (23) (approx.) for the baseline parameter set.
Fig. 3.
Fig. 3. Ratio of attenuation rates obtained approximately and numerically for various $R$ modes at the baseline parameter set.
Fig. 4.
Fig. 4. Transverse electric fields for different modes, calculated by (a) the exact Eq. (10) and with approximations (b) (21) and (c) (16).
Fig. 5.
Fig. 5. Laser energy falling into separate waveguide modes in relation to the radius of the incident pulse. The black solid line is the total laser energy entering the capillary. The black dotted line is the energy summed over the first 15 modes.

Equations (37)

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ε = { 1 , r < a , ε w , r a .
E z = e i k z i ω t + i m ϕ { E 1 J m ( ϰ 1 r ) , r < a , E 2 K m ( ϰ 2 r ) , r a ,
B z = e i k z i ω t + i m ϕ { B 1 J m ( ϰ 1 r ) , r < a , B 2 K m ( ϰ 2 r ) , r a ,
E r = ( 1 ) j ϰ j 2 ( i k E z r + m ω c r B z ) ,
E ϕ = ( 1 ) j ϰ j 2 ( k m r E z + i ω c B z r ) ,
B r = ( 1 ) j ϰ j 2 ( ik B z r m ω ε c r E z ) ,
B ϕ = ( 1 ) j ϰ j 2 ( k m r B z i ω ε c E z r ) ,
ϰ 1 2 = ω 2 / c 2 k 2 ,
ϰ 2 2 = k 2 ε w ω 2 / c 2 ,
( J m J m + ϰ 1 ϰ 2 K m K m ) ( 1 ε w J m J m + ϰ 1 ϰ 2 K m K m ) = 1 ε w ( m k c ω ϰ 1 a ) 2 ( 1 + ϰ 1 2 ϰ 2 2 ) 2 ,
ε w ( ω ) = 1 + i ω p 2 τ ω ( 1 i ω τ ) ,
E r = i m E ϕ
ε w 30 + 1.1 i , | ε w | 1 , ϰ 2 ω / c 1 / a ,
E ϕ = ζ B z , E z = ζ B ϕ ,
( J m J m i ϰ 1 c ζ ω ) ( J m J m i ϰ 1 c ω ζ ) = ( m k c ω ϰ 1 a ) 2 .
| ζ | ϰ 1 c / ω
J m ( ϰ 1 a ) = 0 , E z 0 , B z 0
J m ( ϰ 1 a ) = 0 , E z 0 , B z 0.
α = ω R e ( ζ ) k a c ,
α = c ϰ 1 2 R e ( ζ ) ω k a ( 1 + m 2 ω 2 c 2 ϰ 1 2 ( a 2 ϰ 1 2 m 2 ) )
| ζ | ϰ 1 c / ω
J m ± 1 ( ϰ 1 a ) = 0 , B = ± i E , E r = ± i E ϕ ,
α = ϰ 1 2 R e ( ζ ) 2 k 2 a | ζ | 2 .
ζ 0.0032 0.18 i , δ ϰ 1 c | ζ | ω 0.12.
E y = E 0 e r 2 / σ r 2 , E x = 0.
C m o d e = ( E y E m o d e , y d S ) 2 E y 2 d S E m o d e 2 d S ,
E = i k ϰ 2 E z + i ω c ϰ 2 [ B z × e z ] ,
B = i k ϰ 2 B z i ω c ϰ 2 [ E z × e z ] ,
ϰ 2 = ω 2 / c 2 k 2 .
E τ = ζ [ n × B τ ] ,
( Δ + ϰ 2 ) E z = 0 , ( Δ + ϰ 2 ) B z = 0 ,
ϰ k ζ E z = i ϰ ( B z τ + ω k c E z n ) ,
ϰ ζ k B z = i ϰ ( E z τ ω k c B z n ) ,
τ n 1 a | ϰ | .
E z τ = B z n , B z τ = E z n .
F = E z + i B z ,
( Δ + ϰ 2 ) F = 0 , F n = i F τ .

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