Abstract

A corner cube (CC) as a peculiar coherent combination element is first, to the best of our knowledge, theoretically and experimentally proved by the authors. When a CC is used as a total-reflecting mirror in the solid-state laser resonator it can improve the laser far-field energy focalization. Furthermore, the differences between the coherent characteristics of the lasers with a corner cube resonator (CCR) and those with a Fabry–Perot resonator have been investigated, respectively. Theoretical calculation and numerical simulation have proved that the symmetric output beams of the CCR laser are coherent and the adjacent output beams are partially coherent. Based on these special coherent characteristics, a new laser coherent combining configuration, in which a CC was utilized as a total-reflecting mirror, was proposed and experimentally investigated. In our experiments, the measured far-field intensity profiles of coherent combing laser arrays are in good agreement with the numerical simulation. These novel coherent characteristics of a CC may be important for applications in solid-state lasers and laser coherent combining systems, and coherent combination may be one of the development trends and future research directions for CCR lasers.

© 2014 Optical Society of America

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  1. Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).
  2. Y. Cheng, “Development and progress of adjust-free solid state laser,” Infrared Laser Eng. 35, 297–301 (2006).
  3. D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).
  4. Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
    [CrossRef]
  5. V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
    [CrossRef]
  6. Y. D. Ye, X. Y. Gao, H. Y. Yi, and Y. Su, “Characteristics of cube-corner prism laser resonator,” High Power Laser Part. Beams 16, 972–976 (2004).
  7. Y. Cheng, Avoidance Adjust Solid State Laser (National Defense Industry, 2012).
  8. C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).
  9. Y. Cheng, X. Liu, Q. Wan, M. Z. Zhu, C. W. Mi, C. Y. Tan, S. F. Wei, and X. Chen, “Mutual injection phase locking coherent combination of solid state lasers based on corner cube,” Opt. Lett. 38, 5150–5152 (2013).
    [CrossRef]
  10. M. X. Shen, S. M. Wang, L. G. Hu, and D. M. Zhao, “Mode properties produced by a corner-cube cavity,” Appl. Opt. 43, 4091–4094 (2004).
    [CrossRef]
  11. A. P. Napartovich, N. N. Elkin, and D. V. Vysotsky, “Analysis of problem of high power fiber laser combining for arbitrary large optical phase differences,” Proc. AIP 1278, 869–880 (2010).
  12. P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
    [CrossRef]
  13. Q. J. Peng, Z. P. Sun, Y. H. Chen, L. Guo, Y. Bo, X. D. Yang, and Z. Y. Xu, “Efficient improvement of laser beam quality by coherent combining in an improved Michelson cavity,” Opt. Lett. 30, 1485–1487 (2005).
    [CrossRef]

2013 (1)

2010 (1)

A. P. Napartovich, N. N. Elkin, and D. V. Vysotsky, “Analysis of problem of high power fiber laser combining for arbitrary large optical phase differences,” Proc. AIP 1278, 869–880 (2010).

2009 (1)

P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
[CrossRef]

2008 (1)

D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).

2006 (1)

Y. Cheng, “Development and progress of adjust-free solid state laser,” Infrared Laser Eng. 35, 297–301 (2006).

2005 (2)

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Q. J. Peng, Z. P. Sun, Y. H. Chen, L. Guo, Y. Bo, X. D. Yang, and Z. Y. Xu, “Efficient improvement of laser beam quality by coherent combining in an improved Michelson cavity,” Opt. Lett. 30, 1485–1487 (2005).
[CrossRef]

2004 (2)

Y. D. Ye, X. Y. Gao, H. Y. Yi, and Y. Su, “Characteristics of cube-corner prism laser resonator,” High Power Laser Part. Beams 16, 972–976 (2004).

M. X. Shen, S. M. Wang, L. G. Hu, and D. M. Zhao, “Mode properties produced by a corner-cube cavity,” Appl. Opt. 43, 4091–4094 (2004).
[CrossRef]

1999 (1)

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

1981 (1)

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

1978 (1)

V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
[CrossRef]

Bagdasarov, Z. E.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

Bo, Y.

Chen, X.

Chen, Y. H.

Cheng, Y.

Y. Cheng, X. Liu, Q. Wan, M. Z. Zhu, C. W. Mi, C. Y. Tan, S. F. Wei, and X. Chen, “Mutual injection phase locking coherent combination of solid state lasers based on corner cube,” Opt. Lett. 38, 5150–5152 (2013).
[CrossRef]

Y. Cheng, “Development and progress of adjust-free solid state laser,” Infrared Laser Eng. 35, 297–301 (2006).

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

Y. Cheng, Avoidance Adjust Solid State Laser (National Defense Industry, 2012).

Duan, W. T.

D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).

Elkin, N. N.

A. P. Napartovich, N. N. Elkin, and D. V. Vysotsky, “Analysis of problem of high power fiber laser combining for arbitrary large optical phase differences,” Proc. AIP 1278, 869–880 (2010).

Gao, X. Y.

Y. D. Ye, X. Y. Gao, H. Y. Yi, and Y. Su, “Characteristics of cube-corner prism laser resonator,” High Power Laser Part. Beams 16, 972–976 (2004).

Gerasimov, V. B.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
[CrossRef]

Guo, L.

Guo, Y. L.

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Hu, D. X.

D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).

Hu, L. G.

Huo, X.

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

Jiang, D. B.

D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).

Jiang, X. Y.

D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).

Kalinin, Yu. A.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
[CrossRef]

Kazanskii, V. M.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

Lin, Y.

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Liu, X.

Liu, Z. J.

P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
[CrossRef]

Lu, C. Y.

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Ma, Y. X.

P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
[CrossRef]

Mao, H. T.

P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
[CrossRef]

Mao, S. Q.

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

Mi, C. W.

Napartovich, A. P.

A. P. Napartovich, N. N. Elkin, and D. V. Vysotsky, “Analysis of problem of high power fiber laser combining for arbitrary large optical phase differences,” Proc. AIP 1278, 869–880 (2010).

Orlov, V. K.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
[CrossRef]

Peng, Q. J.

Piskunov, A. K.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

Sagalovich, A. Ya.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
[CrossRef]

Shen, M. X.

Su, Y.

Y. D. Ye, X. Y. Gao, H. Y. Yi, and Y. Su, “Characteristics of cube-corner prism laser resonator,” High Power Laser Part. Beams 16, 972–976 (2004).

Suchkov, A. F.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

Sun, B.

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

Sun, Z. P.

Tan, C. Y.

Ustinov, N. D.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

Virnik, Ya. Z.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
[CrossRef]

Vorotilin, S. P.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
[CrossRef]

Vysotsky, D. V.

A. P. Napartovich, N. N. Elkin, and D. V. Vysotsky, “Analysis of problem of high power fiber laser combining for arbitrary large optical phase differences,” Proc. AIP 1278, 869–880 (2010).

Wan, Q.

Y. Cheng, X. Liu, Q. Wan, M. Z. Zhu, C. W. Mi, C. Y. Tan, S. F. Wei, and X. Chen, “Mutual injection phase locking coherent combination of solid state lasers based on corner cube,” Opt. Lett. 38, 5150–5152 (2013).
[CrossRef]

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Wang, G. C.

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Wang, S. M.

Wang, X. B.

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

Wang, X. L.

P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
[CrossRef]

Wang, Xi. B.

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Wang, Z. H.

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

Wei, S. F.

Xu, M. J.

D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).

Xu, X. J.

P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
[CrossRef]

Xu, Z. Y.

Yang, X. D.

Ye, Y. D.

Y. D. Ye, X. Y. Gao, H. Y. Yi, and Y. Su, “Characteristics of cube-corner prism laser resonator,” High Power Laser Part. Beams 16, 972–976 (2004).

Yi, H. Y.

Y. D. Ye, X. Y. Gao, H. Y. Yi, and Y. Su, “Characteristics of cube-corner prism laser resonator,” High Power Laser Part. Beams 16, 972–976 (2004).

Yu, H. W.

D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).

Zaika, V. M.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

Zakharov, M. V.

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

Zeng, W. F.

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

Zhao, D. M.

Zhou, P.

P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
[CrossRef]

Zhu, M. Z.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

P. Zhou, Z. J. Liu, X. L. Wang, Y. X. Ma, H. T. Mao, and X. J. Xu, “Coherent beam combination of two-dimensional high power fiber amplifier array using stochastic parallel gradient descent algorithm,” Appl. Phys. Lett. 94, 231106 (2009).
[CrossRef]

High Power Laser Part. Beams (2)

D. B. Jiang, M. J. Xu, D. X. Hu, W. T. Duan, X. Y. Jiang, and H. W. Yu, “Improvement of beam quality of heat capacity laser with a cube corner array,” High Power Laser Part. Beams 20, 1257–1260 (2008).

Y. D. Ye, X. Y. Gao, H. Y. Yi, and Y. Su, “Characteristics of cube-corner prism laser resonator,” High Power Laser Part. Beams 16, 972–976 (2004).

Infrared Laser Eng. (1)

Y. Cheng, “Development and progress of adjust-free solid state laser,” Infrared Laser Eng. 35, 297–301 (2006).

Laser Infrared (1)

C. Y. Lu, Xi. B. Wang, Y. L. Guo, G. C. Wang, B. Sun, Y. Lin, and Q. Wan, “Design of directional prism resonator operated in TEM00 mode with thermal stability,” Laser Infrared 35, 237–240 (2005).

Laser Technol. A (1)

Y. Cheng, S. Q. Mao, Z. H. Wang, X. B. Wang, B. Sun, X. Huo, and W. F. Zeng, “Avoidance adjust solid state laser,” Laser Technol. A 23, 68–70 (1999).

Opt. Lett. (2)

Proc. AIP (1)

A. P. Napartovich, N. N. Elkin, and D. V. Vysotsky, “Analysis of problem of high power fiber laser combining for arbitrary large optical phase differences,” Proc. AIP 1278, 869–880 (2010).

Sov. J. Quantum Electron. (2)

Z. E. Bagdasarov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, V. M. Zaika, M. V. Zakharov, V. M. Kazanskiĭ, Yu. A. Kalinin, V. K. Orlov, A. K. Piskunov, A. Ya. Sagalovich, A. F. Suchkov, and N. D. Ustinov, “Investigation of the characteristics of formation of the angular distribution of laser radiation in resonators with retro-reflecting mirrors,” Sov. J. Quantum Electron. 11, 1465–1471 (1981).
[CrossRef]

V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin, and A. Ya. Sagalovich, “Retro-reflecting mirror for dynamic compensation of optical inhomogeneities,” Sov. J. Quantum Electron. 8, 799–800 (1978).
[CrossRef]

Other (1)

Y. Cheng, Avoidance Adjust Solid State Laser (National Defense Industry, 2012).

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Figures (9)

Fig. 1.
Fig. 1.

Basic structure and schematic of the CCR laser. (a) Optical property of the CC. (b) The schematic of the CCR. (c) The six fan-shaped parts schematic of the CCR.

Fig. 2.
Fig. 2.

Mathematical simulation of the field intensity profile of the CCR six solid-state lasers. (a) The near-field intensity profile of the CCR six solid-state lasers. (b) The far-field intensity profile of the CCR six solid-state lasers.

Fig. 3.
Fig. 3.

Schematic of the phase-locked laser array.

Fig. 4.
Fig. 4.

Coherence of an FPR laser and a CCR laser. (a) No coherent phenomenon in the far-field of the FPR. (b) Coherent phenomenon in the far-field of the CCR.

Fig. 5.
Fig. 5.

Far-field coherent profiles of two discretional symmetrical holes in the six fan-shaped parts of the CCR. (a) Two beams in the two skew symmetrical fan-shaped parts. (b) Two beams in the two symmetrical fan-shaped parts. (c) Two beams between 1 mm in the same fan-shaped part.

Fig. 6.
Fig. 6.

Experimental scheme of mutual-injected coherent combination of two solid-state lasers.

Fig. 7.
Fig. 7.

Far-field intensity profile of two symmetrical individual lasers. (a) Far-field intensity profile of the two beams from an FPR. (b) Far-field intensity profile of the two beams from a CCR resonator.

Fig. 8.
Fig. 8.

Far-field intensity profile of the six beams from an FPR. (a) 2D distribution. (b) 3D distribution.

Fig. 9.
Fig. 9.

Far-field intensity profiles of the six beams from a CCR. (a) 2D distribution. (b) 3D distribution.

Equations (12)

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(p6s6)=(exp(iφ)00exp(iφ))J41(1001)(exp(iφ)00exp(iφ))(1001)(exp(iφ)00exp(iφ))J14(1001)(exp(iφ)00exp(iφ))(1001)(p0s0).
(p6s6)=G14(p0s0),
G14=[0.7651+0.4691i0.26810.3493i0.26810.3493i0.25500.8603i].
E6=G14E14,0=η14E14,0.
η14,1=0.32110.9465i,η14,2=0.8312+0.5553i.
E14,01=(0.24681),E14,02=(4.0541).
η41,1=η14,1=0.32110.9465i,η41,2=η14,2=0.8312+0.5553i.
E41,01=(0.24681),E41,02=(4.0541).
η14,i=|η14,i|eiφ(i=1,2).
|η14,1|=|η14,2|=1.
Ek(x,y)=i2λsEk(x,y)exp(i2πλρ)(1+cosθ)ρds,
Ek+2(x,y)=1γEk(x,y).

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