Abstract

Collective laser coupling of the fiber array in the inertial confinement fusion (ICF) laser driver based on the concept of fiber amplification network (FAN) is researched. The feasible parameter space is given for laser coupling of the fundamental, second and third harmonic waves by neglecting the influence of the frequency conversion on the beam quality under the assumption of beam quality factor conservation. Third harmonic laser coupling is preferred due to its lower output energy requirement from a single fiber amplifier. For coplanar fiber array, the energy requirement is around 0.4J with an effective mode field diameter of around 500μm while maintaining the fundamental mode operation which is more than one order of magnitude higher than what can be achieved with state-of-the-art technology. Novel waveguide structure needs to be developed to enlarge the fundamental mode size while mitigating the catastrophic self-focusing effect.

© 2013 OSA

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2013

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nat. Photon.7, 258–261 (2013).
[CrossRef]

C. Zheng, H. Zhang, P. Yan, and M. Gong, “Low repetition rate broadband high energy and peak power nanosecond pulsed Yb-doped fiber amplifier,” Opt. Laser Technol.49, 284–287 (2013).
[CrossRef]

2010

C. Lion, “The LMJ program: An overview,”J. Phys. Conf. Ser.244, 012003 (2010).
[CrossRef]

W. R. Meier, T. M. Anklam, A. C. Erlandson, R. R. Miles, A. J. Simon, R. Sawicki, and E. Storm, “Integrated process modeling for the laser inertial fusion energy (LIFE) generation system,”J. Phys. Conf. Ser.244, 032035 (2010).
[CrossRef]

2008

C. Labaune, D. Hulin, A. Galvanauskas, and G. A. Mourou, “On the feasibility of a fiber-based inertial fusion laser driver,” Opt. Commun.281, 4075–4080 (2008).
[CrossRef]

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

2007

2006

H. Yoda, P. Polynkin, and M. Mansuripur, “Beam Quality Factor of Higher Order Modes in a Step-Index Fiber,” J. Lightwave Technol.24, 1350 (2006).
[CrossRef]

C. D. Brooks and F. Di Teodoro, “Multimegawatt peak-power, single-transverse-mode operation of a 100 mu m core diameter, Yb-doped rodlike photonic crystal fiber amplifier,” Appl. Phys. Lett.89, 111119 (2006).
[CrossRef]

2001

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

1997

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, “Ytterbium-Doped Fiber Amplifiers,” IEEE J. Quantum Electron.33, 1049–1056 (1997).
[CrossRef]

1995

J. A. Paisner, S. A. Kumpan, W. H. Lowdermilk, J. D. Boyes, and M. S. Sorem, “Conceptual design of the national ignition facility,” Proceedings of Solid State Lasers for Application to Inertial Confinement Fusion, 2633: 2–12 (1995).
[CrossRef]

Alvarez-Chavez, J.

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

Anklam, T. M.

W. R. Meier, T. M. Anklam, A. C. Erlandson, R. R. Miles, A. J. Simon, R. Sawicki, and E. Storm, “Integrated process modeling for the laser inertial fusion energy (LIFE) generation system,”J. Phys. Conf. Ser.244, 032035 (2010).
[CrossRef]

Auerbach, J. M.

Bowers, M. W.

Boyes, J. D.

J. A. Paisner, S. A. Kumpan, W. H. Lowdermilk, J. D. Boyes, and M. S. Sorem, “Conceptual design of the national ignition facility,” Proceedings of Solid State Lasers for Application to Inertial Confinement Fusion, 2633: 2–12 (1995).
[CrossRef]

Brocklesby, B.

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nat. Photon.7, 258–261 (2013).
[CrossRef]

Brooks, C. D.

C. D. Brooks and F. Di Teodoro, “Multimegawatt peak-power, single-transverse-mode operation of a 100 mu m core diameter, Yb-doped rodlike photonic crystal fiber amplifier,” Appl. Phys. Lett.89, 111119 (2006).
[CrossRef]

Clarkson, W.

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

Di Teodoro, F.

C. D. Brooks and F. Di Teodoro, “Multimegawatt peak-power, single-transverse-mode operation of a 100 mu m core diameter, Yb-doped rodlike photonic crystal fiber amplifier,” Appl. Phys. Lett.89, 111119 (2006).
[CrossRef]

Dixit, S. N.

Erbert, G. V.

Erlandson, A. C.

W. R. Meier, T. M. Anklam, A. C. Erlandson, R. R. Miles, A. J. Simon, R. Sawicki, and E. Storm, “Integrated process modeling for the laser inertial fusion energy (LIFE) generation system,”J. Phys. Conf. Ser.244, 032035 (2010).
[CrossRef]

Fan, D.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Feng, B.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Galvanauskas, A.

C. Labaune, D. Hulin, A. Galvanauskas, and G. A. Mourou, “On the feasibility of a fiber-based inertial fusion laser driver,” Opt. Commun.281, 4075–4080 (2008).
[CrossRef]

Gong, M.

C. Zheng, H. Zhang, P. Yan, and M. Gong, “Low repetition rate broadband high energy and peak power nanosecond pulsed Yb-doped fiber amplifier,” Opt. Laser Technol.49, 284–287 (2013).
[CrossRef]

Grudinin, A.

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

Guo, L.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Hanna, D. C.

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, “Ytterbium-Doped Fiber Amplifiers,” IEEE J. Quantum Electron.33, 1049–1056 (1997).
[CrossRef]

Haynam, C. A.

He, S.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Heestand, G. M.

Henesian, M. A.

Hermann, M. R.

Hodgson, N.

N. Hodgson and H. Weber, Laser Resonators and Beam Propagation: Fundamentals, Advanced Concepts and Applications, 2nd ed. (Springer, 2005).

Hu, D.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Hulin, D.

C. Labaune, D. Hulin, A. Galvanauskas, and G. A. Mourou, “On the feasibility of a fiber-based inertial fusion laser driver,” Opt. Commun.281, 4075–4080 (2008).
[CrossRef]

Jancaitis, K. S.

Jiang, X.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Jing, F.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Kumpan, S. A.

J. A. Paisner, S. A. Kumpan, W. H. Lowdermilk, J. D. Boyes, and M. S. Sorem, “Conceptual design of the national ignition facility,” Proceedings of Solid State Lasers for Application to Inertial Confinement Fusion, 2633: 2–12 (1995).
[CrossRef]

Labaune, C.

C. Labaune, D. Hulin, A. Galvanauskas, and G. A. Mourou, “On the feasibility of a fiber-based inertial fusion laser driver,” Opt. Commun.281, 4075–4080 (2008).
[CrossRef]

Li, M.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Li, X.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Limpert, J.

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nat. Photon.7, 258–261 (2013).
[CrossRef]

Lion, C.

C. Lion, “The LMJ program: An overview,”J. Phys. Conf. Ser.244, 012003 (2010).
[CrossRef]

Lowdermilk, W. H.

J. A. Paisner, S. A. Kumpan, W. H. Lowdermilk, J. D. Boyes, and M. S. Sorem, “Conceptual design of the national ignition facility,” Proceedings of Solid State Lasers for Application to Inertial Confinement Fusion, 2633: 2–12 (1995).
[CrossRef]

Manes, K. R.

Mansuripur, M.

Marshall, C. D.

Mehta, N. C.

Meier, W. R.

W. R. Meier, T. M. Anklam, A. C. Erlandson, R. R. Miles, A. J. Simon, R. Sawicki, and E. Storm, “Integrated process modeling for the laser inertial fusion energy (LIFE) generation system,”J. Phys. Conf. Ser.244, 032035 (2010).
[CrossRef]

Menapace, J.

Miles, R. R.

W. R. Meier, T. M. Anklam, A. C. Erlandson, R. R. Miles, A. J. Simon, R. Sawicki, and E. Storm, “Integrated process modeling for the laser inertial fusion energy (LIFE) generation system,”J. Phys. Conf. Ser.244, 032035 (2010).
[CrossRef]

Moses, E.

Mourou, G.

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nat. Photon.7, 258–261 (2013).
[CrossRef]

Mourou, G. A.

C. Labaune, D. Hulin, A. Galvanauskas, and G. A. Mourou, “On the feasibility of a fiber-based inertial fusion laser driver,” Opt. Commun.281, 4075–4080 (2008).
[CrossRef]

Murray, J. R.

Nilsson, J.

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, “Ytterbium-Doped Fiber Amplifiers,” IEEE J. Quantum Electron.33, 1049–1056 (1997).
[CrossRef]

Nostrand, M. C.

Offerhaus, H.

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

Orth, C. D.

Paisner, J. A.

J. A. Paisner, S. A. Kumpan, W. H. Lowdermilk, J. D. Boyes, and M. S. Sorem, “Conceptual design of the national ignition facility,” Proceedings of Solid State Lasers for Application to Inertial Confinement Fusion, 2633: 2–12 (1995).
[CrossRef]

Paschotta, R.

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, “Ytterbium-Doped Fiber Amplifiers,” IEEE J. Quantum Electron.33, 1049–1056 (1997).
[CrossRef]

Patterson, R.

Peng, Z.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Polynkin, P.

Renaud, C.

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

Richardson, D.

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

Sacks, R. A.

Sawicki, R.

W. R. Meier, T. M. Anklam, A. C. Erlandson, R. R. Miles, A. J. Simon, R. Sawicki, and E. Storm, “Integrated process modeling for the laser inertial fusion energy (LIFE) generation system,”J. Phys. Conf. Ser.244, 032035 (2010).
[CrossRef]

Shaw, M. J.

Simon, A. J.

W. R. Meier, T. M. Anklam, A. C. Erlandson, R. R. Miles, A. J. Simon, R. Sawicki, and E. Storm, “Integrated process modeling for the laser inertial fusion energy (LIFE) generation system,”J. Phys. Conf. Ser.244, 032035 (2010).
[CrossRef]

Sorem, M. S.

J. A. Paisner, S. A. Kumpan, W. H. Lowdermilk, J. D. Boyes, and M. S. Sorem, “Conceptual design of the national ignition facility,” Proceedings of Solid State Lasers for Application to Inertial Confinement Fusion, 2633: 2–12 (1995).
[CrossRef]

Spaeth, M.

Storm, E.

W. R. Meier, T. M. Anklam, A. C. Erlandson, R. R. Miles, A. J. Simon, R. Sawicki, and E. Storm, “Integrated process modeling for the laser inertial fusion energy (LIFE) generation system,”J. Phys. Conf. Ser.244, 032035 (2010).
[CrossRef]

Su, J.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Sui, Z.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Sutton, S. B.

Tajima, T.

G. Mourou, B. Brocklesby, T. Tajima, and J. Limpert, “The future is fibre accelerators,” Nat. Photon.7, 258–261 (2013).
[CrossRef]

Tropper, A. C.

R. Paschotta, J. Nilsson, A. C. Tropper, and D. C. Hanna, “Ytterbium-Doped Fiber Amplifiers,” IEEE J. Quantum Electron.33, 1049–1056 (1997).
[CrossRef]

Turner, P.

C. Renaud, H. Offerhaus, J. Alvarez-Chavez, J. Nilsson, W. Clarkson, P. Turner, D. Richardson, and A. Grudinin, “Characteristics of Q-switched cladding-pumped ytterbium-doped fiber lasers with different high-energy fiber designs,” IEEE J. Quantum Electron.37, 199–206 (2001).
[CrossRef]

Van Wonterghem, B. M.

Wang, J.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Weber, H.

N. Hodgson and H. Weber, Laser Resonators and Beam Propagation: Fundamentals, Advanced Concepts and Applications, 2nd ed. (Springer, 2005).

Wegner, P. J.

Wei, X.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

White, R. K.

Widmayer, C. C.

Williams, W. H.

Xiang, Y.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Yan, P.

C. Zheng, H. Zhang, P. Yan, and M. Gong, “Low repetition rate broadband high energy and peak power nanosecond pulsed Yb-doped fiber amplifier,” Opt. Laser Technol.49, 284–287 (2013).
[CrossRef]

Yang, S. T.

Yoda, H.

You, Y.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

Yu, H.

W. Zheng, X. Zhang, X. Wei, F. Jing, Z. Sui, K. Zheng, X. Yuan, X. Jiang, J. Su, H. Zhou, M. Li, J. Wang, D. Hu, S. He, Y. Xiang, Z. Peng, B. Feng, L. Guo, X. Li, Q. Zhu, H. Yu, Y. You, D. Fan, and W. Zhang, “Status of the SG-III solid-state laser facility,”J. Phys. Conf. Ser.112, 032009 (2008).
[CrossRef]

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Figures (7)

Fig. 1
Fig. 1

Configuration of collective laser coupling optics.

Fig. 2
Fig. 2

(Left) variation of average energy fluence with the chamber opening proportion, (right) variation of the output pulse energy with the mode field diameter for the in-core fluence of 200J/cm2.

Fig. 3
Fig. 3

(Left) rectangular and (right) hexagonal arrangement of the fiber array.

Fig. 4
Fig. 4

Conservation of the beam parameter product in the focusing process.

Fig. 5
Fig. 5

Analyzing procedure of the collective laser coupling under the beam quality factor conservation condition (notations are explained in the text).

Fig. 6
Fig. 6

For laser coupling of 2MJ@3ω, (a) 3-dimensional and (b) contour plot of Λ/Λlim, variation of the number of (c) fiber arrays and (d) fiber sources.

Fig. 7
Fig. 7

For laser coupling of (top) 4MJ@1ω and (bottom) 3MJ@2ω, (a)(c) are the contour plot of Λ/Λlim, (b)(d) are the variation of number of fiber arrays NB with beam quality factor M B 2.

Tables (1)

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Table 1 Part of the integrated parameters for the ICF laser driver

Equations (18)

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N F = { 4 k 2 rectangular 3 k ( k 1 ) + 1 hexagonal
D B = { ( m 1 ) 2 Λ + D F rectangular ( m 1 ) Λ + D F hexagonal
m = { 2 k rectangular 2 k 1 hexagonal
ς = { N F × ( D F / 2 ) 2 D B 2 / 2 rectangular N F × π ( D F / 2 ) 2 3 3 D B 2 / 8 hexagonal
BPP = w × θ
BPP 0 = λ / π
BPP B x ω = M B 2 λ x ω π
D W = D T 1 + ( D C / 2 Z R ) 2
N B = ζ × π D C 2 / 4 A W = ζ × ( D C D W ) 2
E B x ω = E D x ω / N B
E B 1 ω = E B x ω / η 1 x
θ F 1 ω = BPP F 1 ω D F / 2
BPP B 1 ω = M B 2 × λ 1 ω π
D B = 2 BPP B 1 ω / θ F 1 ω
E F 1 ω = J F × π D F 2 / 4
N F = E B 1 ω / E F 1 ω
Λ = D B D F m 1
Λ lim = χ D F

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