Abstract

A new method of wavefront sensing based on fiber coupling in the adaptive fiber optics collimator (AFOC) array has been proposed. The scheme and the recovery process of this sensor are introduced. An experiment of recovering static aberrations utilizing such method with a 7-element AFOC array with filled factor of 0.875 is presented. Experimental results reveal that the wavefront recovery residual error RMS is less than 0.116 μm, under the conditions where the original aberration is with RMS of 0.674 μm and mainly includes Zernike modes of low orders. This method aims at providing abilities for active wavefront sensing and efficiently correcting outside aberrations to the future laser transmission systems based on fiber collimator arrays.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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    [Crossref] [PubMed]
  3. Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  25. F. Li, C. Geng, X. Li, and Q. Qiu, “Co-aperture transceiving of two combined beams based on adaptive fiber coupling control,” IEEE Photonics Technol. Lett. 27(17), 1787–1790 (2015).
    [Crossref]
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    [Crossref] [PubMed]
  27. F. Soldevila, V. Duran, P. Clemente, J. Lancis, and E. Tajahuerce, “Phase imaging by spatial wavefront sampling,” Optica 5(2), 164–174 (2018).
    [Crossref]
  28. S. Shin, K. R. Lee, Y. S. Baek, and Y. K. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. A (Coll. Park) 9, 044042 (2018).
  29. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66(3), 207–211 (1976).
    [Crossref]

2018 (5)

G. Huang, C. Geng, F. Li, J. Liu, and X. Li, “Control bandwidth promotion of adaptive fiber-optics collimator and its application in coherent beam combination,” IEEE Photonics J. 10(6), 7105513 (2018).
[Crossref]

G. Huang, C. Geng, F. Li, Y. Yang, and X. Li, “Adaptive SMF coupling based on precise-delayed SPGD algorithm and its application in free space optical communication,” IEEE Photonics J. 10(3), 7904212 (2018).
[Crossref]

Y. Wang, X. Chen, Z. Cao, X. Zhang, C. Liu, and Q. Mu, “Gradient cross-correlation algorithm for scene-based Shack-Hartmann wavefront sensing,” Opt. Express 26(13), 17549–17562 (2018).
[Crossref] [PubMed]

F. Soldevila, V. Duran, P. Clemente, J. Lancis, and E. Tajahuerce, “Phase imaging by spatial wavefront sampling,” Optica 5(2), 164–174 (2018).
[Crossref]

S. Shin, K. R. Lee, Y. S. Baek, and Y. K. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. A (Coll. Park) 9, 044042 (2018).

2017 (2)

F. Li, C. Geng, G. Huang, Y. Yang, X. Li, and Q. Qiu, “Experimental demonstration of coherent combining with tip/tilt control based on adaptive space-to-fiber laser beam coupling,” IEEE Photonics J. 9(2), 1–12 (2017).
[Crossref] [PubMed]

Y. Yang, C. Geng, F. Li, G. Huang, and X. Li, “Multi-aperture all-fiber active coherent beam combining for free-space optical communication receivers,” Opt. Express 25(22), 27519–27532 (2017).
[Crossref] [PubMed]

2016 (3)

T. Weyrauch, M. Vorontsov, J. Mangano, V. Ovchinnikov, D. Bricker, E. Polnau, and A. Rostov, “Deep turbulence effects mitigation with coherent combining of 21 laser beams over 7 km,” Opt. Lett. 41(4), 840–843 (2016).
[Crossref] [PubMed]

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

D. Zhi, Y. Ma, Z. Chen, X. Wang, P. Zhou, and L. Si, “Large deflection angle, high-power adaptive fiber optics collimator with preserved near-diffraction-limited beam quality,” Opt. Lett. 41(10), 2217–2220 (2016).
[Crossref] [PubMed]

2015 (2)

F. Li, C. Geng, X. Li, and Q. Qiu, “Co-aperture transceiving of two combined beams based on adaptive fiber coupling control,” IEEE Photonics Technol. Lett. 27(17), 1787–1790 (2015).
[Crossref]

D. Valente, D. Rativa, and B. Vohnsen, “Wavefront sensing using a liquid-filled photonic crystal fiber,” Opt. Express 23(10), 13005–13014 (2015).
[Crossref] [PubMed]

2014 (2)

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

D. Zhi, P. Ma, Y. Ma, X. Wang, P. Zhou, and L. Si, “Novel adaptive fiber-optics collimator for coherent beam combination,” Opt. Express 22(25), 31520–31528 (2014).
[Crossref] [PubMed]

2013 (1)

C. Geng, W. Luo, Y. Tan, H. Liu, J. Mu, and X. Li, “Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control,” Opt. Express 21(21), 25045–25055 (2013).
[Crossref] [PubMed]

2012 (2)

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

H. Takenaka, M. Toyoshima, and Y. Takayama, “Experimental verification of fiber-coupling efficiency for satellite-to-ground atmospheric laser downlinks,” Opt. Express 20(14), 15301–15308 (2012).
[Crossref] [PubMed]

2011 (3)

S. L. Lachinova and M. A. Vorontsov, “Wavefront sensing and adaptive control in phased array of fiber collimators,” Proc. SPIE 7924, 79240F (2011).
[Crossref]

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, “Experimental demonstration of coherent beam combining over a 7 km propagation path,” Opt. Lett. 36(22), 4455–4457 (2011).
[Crossref] [PubMed]

2010 (1)

M. A. Vorontsov, S. L. Lachinova, L. A. Beresnev, and T. Weyrauch, “Obscuration-free pupil-plane phase locking of a coherent array of fiber collimators,” J. Opt. Soc. Am. A 27(11), A106–A121 (2010).
[Crossref] [PubMed]

2009 (1)

M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, and K. Aschenbach, “Adaptive array of phase-locked fiber collimators: analysis and experimental demonstration,” IEEE J. Sel. Top. Quantum Electron. 15(2), 269–280 (2009).
[Crossref]

2008 (2)

M. A. Vorontsov and S. L. Lachinova, “Laser beam projection with adaptive array of fiber collimators. I. Basic considerations for analysis,” J. Opt. Soc. Am. A 25(8), 1949–1959 (2008).
[Crossref] [PubMed]

S. L. Lachinova and M. A. Vorontsov, “Laser beam projection with adaptive array of fiber collimators. II. Analysis of atmospheric compensation efficiency,” J. Opt. Soc. Am. A 25(8), 1960–1973 (2008).
[Crossref] [PubMed]

2005 (1)

S. L. Lachinova and M. A. Vorontsov, “Performance analysis of an adaptive phase-locked tiled fiber array in atmospheric turbulence conditions,” Proc. SPIE 5895, 58950O (2005).
[Crossref]

1998 (1)

M. A. Vorontsov and V. P. Sivokon, “Stochastic parallel-gradient-descent technique for high-resolution wavefront phase-distortion correction,” J. Opt. Soc. Am. A 15(10), 2745–2758 (1998).
[Crossref]

1976 (1)

R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66(3), 207–211 (1976).
[Crossref]

Aschenbach, K.

M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, and K. Aschenbach, “Adaptive array of phase-locked fiber collimators: analysis and experimental demonstration,” IEEE J. Sel. Top. Quantum Electron. 15(2), 269–280 (2009).
[Crossref]

Baek, Y. S.

S. Shin, K. R. Lee, Y. S. Baek, and Y. K. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. A (Coll. Park) 9, 044042 (2018).

Beresnev, L. A.

T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, “Experimental demonstration of coherent beam combining over a 7 km propagation path,” Opt. Lett. 36(22), 4455–4457 (2011).
[Crossref] [PubMed]

M. A. Vorontsov, S. L. Lachinova, L. A. Beresnev, and T. Weyrauch, “Obscuration-free pupil-plane phase locking of a coherent array of fiber collimators,” J. Opt. Soc. Am. A 27(11), A106–A121 (2010).
[Crossref] [PubMed]

M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, and K. Aschenbach, “Adaptive array of phase-locked fiber collimators: analysis and experimental demonstration,” IEEE J. Sel. Top. Quantum Electron. 15(2), 269–280 (2009).
[Crossref]

Bricker, D.

T. Weyrauch, M. Vorontsov, J. Mangano, V. Ovchinnikov, D. Bricker, E. Polnau, and A. Rostov, “Deep turbulence effects mitigation with coherent combining of 21 laser beams over 7 km,” Opt. Lett. 41(4), 840–843 (2016).
[Crossref] [PubMed]

Cao, Z.

Y. Wang, X. Chen, Z. Cao, X. Zhang, C. Liu, and Q. Mu, “Gradient cross-correlation algorithm for scene-based Shack-Hartmann wavefront sensing,” Opt. Express 26(13), 17549–17562 (2018).
[Crossref] [PubMed]

Carhart, G. W.

T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, “Experimental demonstration of coherent beam combining over a 7 km propagation path,” Opt. Lett. 36(22), 4455–4457 (2011).
[Crossref] [PubMed]

M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, and K. Aschenbach, “Adaptive array of phase-locked fiber collimators: analysis and experimental demonstration,” IEEE J. Sel. Top. Quantum Electron. 15(2), 269–280 (2009).
[Crossref]

Chen, X.

Y. Wang, X. Chen, Z. Cao, X. Zhang, C. Liu, and Q. Mu, “Gradient cross-correlation algorithm for scene-based Shack-Hartmann wavefront sensing,” Opt. Express 26(13), 17549–17562 (2018).
[Crossref] [PubMed]

Chen, Z.

D. Zhi, Y. Ma, Z. Chen, X. Wang, P. Zhou, and L. Si, “Large deflection angle, high-power adaptive fiber optics collimator with preserved near-diffraction-limited beam quality,” Opt. Lett. 41(10), 2217–2220 (2016).
[Crossref] [PubMed]

Clemente, P.

F. Soldevila, V. Duran, P. Clemente, J. Lancis, and E. Tajahuerce, “Phase imaging by spatial wavefront sampling,” Optica 5(2), 164–174 (2018).
[Crossref]

Dong, X.

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Du, W.

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Duran, V.

F. Soldevila, V. Duran, P. Clemente, J. Lancis, and E. Tajahuerce, “Phase imaging by spatial wavefront sampling,” Optica 5(2), 164–174 (2018).
[Crossref]

Filimonov, G.

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

Geng, C.

G. Huang, C. Geng, F. Li, Y. Yang, and X. Li, “Adaptive SMF coupling based on precise-delayed SPGD algorithm and its application in free space optical communication,” IEEE Photonics J. 10(3), 7904212 (2018).
[Crossref]

G. Huang, C. Geng, F. Li, J. Liu, and X. Li, “Control bandwidth promotion of adaptive fiber-optics collimator and its application in coherent beam combination,” IEEE Photonics J. 10(6), 7105513 (2018).
[Crossref]

Y. Yang, C. Geng, F. Li, G. Huang, and X. Li, “Multi-aperture all-fiber active coherent beam combining for free-space optical communication receivers,” Opt. Express 25(22), 27519–27532 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, G. Huang, Y. Yang, X. Li, and Q. Qiu, “Experimental demonstration of coherent combining with tip/tilt control based on adaptive space-to-fiber laser beam coupling,” IEEE Photonics J. 9(2), 1–12 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, X. Li, and Q. Qiu, “Co-aperture transceiving of two combined beams based on adaptive fiber coupling control,” IEEE Photonics Technol. Lett. 27(17), 1787–1790 (2015).
[Crossref]

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

C. Geng, W. Luo, Y. Tan, H. Liu, J. Mu, and X. Li, “Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control,” Opt. Express 21(21), 25045–25055 (2013).
[Crossref] [PubMed]

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

Huang, G.

G. Huang, C. Geng, F. Li, Y. Yang, and X. Li, “Adaptive SMF coupling based on precise-delayed SPGD algorithm and its application in free space optical communication,” IEEE Photonics J. 10(3), 7904212 (2018).
[Crossref]

G. Huang, C. Geng, F. Li, J. Liu, and X. Li, “Control bandwidth promotion of adaptive fiber-optics collimator and its application in coherent beam combination,” IEEE Photonics J. 10(6), 7105513 (2018).
[Crossref]

Y. Yang, C. Geng, F. Li, G. Huang, and X. Li, “Multi-aperture all-fiber active coherent beam combining for free-space optical communication receivers,” Opt. Express 25(22), 27519–27532 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, G. Huang, Y. Yang, X. Li, and Q. Qiu, “Experimental demonstration of coherent combining with tip/tilt control based on adaptive space-to-fiber laser beam coupling,” IEEE Photonics J. 9(2), 1–12 (2017).
[Crossref] [PubMed]

Lachinova, S.

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

Lachinova, S. L.

S. L. Lachinova and M. A. Vorontsov, “Wavefront sensing and adaptive control in phased array of fiber collimators,” Proc. SPIE 7924, 79240F (2011).
[Crossref]

M. A. Vorontsov, S. L. Lachinova, L. A. Beresnev, and T. Weyrauch, “Obscuration-free pupil-plane phase locking of a coherent array of fiber collimators,” J. Opt. Soc. Am. A 27(11), A106–A121 (2010).
[Crossref] [PubMed]

M. A. Vorontsov and S. L. Lachinova, “Laser beam projection with adaptive array of fiber collimators. I. Basic considerations for analysis,” J. Opt. Soc. Am. A 25(8), 1949–1959 (2008).
[Crossref] [PubMed]

S. L. Lachinova and M. A. Vorontsov, “Laser beam projection with adaptive array of fiber collimators. II. Analysis of atmospheric compensation efficiency,” J. Opt. Soc. Am. A 25(8), 1960–1973 (2008).
[Crossref] [PubMed]

S. L. Lachinova and M. A. Vorontsov, “Performance analysis of an adaptive phase-locked tiled fiber array in atmospheric turbulence conditions,” Proc. SPIE 5895, 58950O (2005).
[Crossref]

Lancis, J.

F. Soldevila, V. Duran, P. Clemente, J. Lancis, and E. Tajahuerce, “Phase imaging by spatial wavefront sampling,” Optica 5(2), 164–174 (2018).
[Crossref]

Lee, K. R.

S. Shin, K. R. Lee, Y. S. Baek, and Y. K. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. A (Coll. Park) 9, 044042 (2018).

Leng, J.

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Li, F.

G. Huang, C. Geng, F. Li, J. Liu, and X. Li, “Control bandwidth promotion of adaptive fiber-optics collimator and its application in coherent beam combination,” IEEE Photonics J. 10(6), 7105513 (2018).
[Crossref]

G. Huang, C. Geng, F. Li, Y. Yang, and X. Li, “Adaptive SMF coupling based on precise-delayed SPGD algorithm and its application in free space optical communication,” IEEE Photonics J. 10(3), 7904212 (2018).
[Crossref]

Y. Yang, C. Geng, F. Li, G. Huang, and X. Li, “Multi-aperture all-fiber active coherent beam combining for free-space optical communication receivers,” Opt. Express 25(22), 27519–27532 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, G. Huang, Y. Yang, X. Li, and Q. Qiu, “Experimental demonstration of coherent combining with tip/tilt control based on adaptive space-to-fiber laser beam coupling,” IEEE Photonics J. 9(2), 1–12 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, X. Li, and Q. Qiu, “Co-aperture transceiving of two combined beams based on adaptive fiber coupling control,” IEEE Photonics Technol. Lett. 27(17), 1787–1790 (2015).
[Crossref]

Li, X.

G. Huang, C. Geng, F. Li, Y. Yang, and X. Li, “Adaptive SMF coupling based on precise-delayed SPGD algorithm and its application in free space optical communication,” IEEE Photonics J. 10(3), 7904212 (2018).
[Crossref]

G. Huang, C. Geng, F. Li, J. Liu, and X. Li, “Control bandwidth promotion of adaptive fiber-optics collimator and its application in coherent beam combination,” IEEE Photonics J. 10(6), 7105513 (2018).
[Crossref]

Y. Yang, C. Geng, F. Li, G. Huang, and X. Li, “Multi-aperture all-fiber active coherent beam combining for free-space optical communication receivers,” Opt. Express 25(22), 27519–27532 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, G. Huang, Y. Yang, X. Li, and Q. Qiu, “Experimental demonstration of coherent combining with tip/tilt control based on adaptive space-to-fiber laser beam coupling,” IEEE Photonics J. 9(2), 1–12 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, X. Li, and Q. Qiu, “Co-aperture transceiving of two combined beams based on adaptive fiber coupling control,” IEEE Photonics Technol. Lett. 27(17), 1787–1790 (2015).
[Crossref]

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

C. Geng, W. Luo, Y. Tan, H. Liu, J. Mu, and X. Li, “Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control,” Opt. Express 21(21), 25045–25055 (2013).
[Crossref] [PubMed]

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

Liu, C.

Y. Wang, X. Chen, Z. Cao, X. Zhang, C. Liu, and Q. Mu, “Gradient cross-correlation algorithm for scene-based Shack-Hartmann wavefront sensing,” Opt. Express 26(13), 17549–17562 (2018).
[Crossref] [PubMed]

Liu, H.

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

C. Geng, W. Luo, Y. Tan, H. Liu, J. Mu, and X. Li, “Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control,” Opt. Express 21(21), 25045–25055 (2013).
[Crossref] [PubMed]

Liu, J.

G. Huang, C. Geng, F. Li, J. Liu, and X. Li, “Control bandwidth promotion of adaptive fiber-optics collimator and its application in coherent beam combination,” IEEE Photonics J. 10(6), 7105513 (2018).
[Crossref]

Liu, J. J.

T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, “Experimental demonstration of coherent beam combining over a 7 km propagation path,” Opt. Lett. 36(22), 4455–4457 (2011).
[Crossref] [PubMed]

Liu, L.

M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, and K. Aschenbach, “Adaptive array of phase-locked fiber collimators: analysis and experimental demonstration,” IEEE J. Sel. Top. Quantum Electron. 15(2), 269–280 (2009).
[Crossref]

Liu, Z.

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Luo, Q.

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

Luo, W.

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

C. Geng, W. Luo, Y. Tan, H. Liu, J. Mu, and X. Li, “Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control,” Opt. Express 21(21), 25045–25055 (2013).
[Crossref] [PubMed]

Ma, P.

D. Zhi, P. Ma, Y. Ma, X. Wang, P. Zhou, and L. Si, “Novel adaptive fiber-optics collimator for coherent beam combination,” Opt. Express 22(25), 31520–31528 (2014).
[Crossref] [PubMed]

Ma, Y.

D. Zhi, Y. Ma, Z. Chen, X. Wang, P. Zhou, and L. Si, “Large deflection angle, high-power adaptive fiber optics collimator with preserved near-diffraction-limited beam quality,” Opt. Lett. 41(10), 2217–2220 (2016).
[Crossref] [PubMed]

D. Zhi, P. Ma, Y. Ma, X. Wang, P. Zhou, and L. Si, “Novel adaptive fiber-optics collimator for coherent beam combination,” Opt. Express 22(25), 31520–31528 (2014).
[Crossref] [PubMed]

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Mangano, J.

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

T. Weyrauch, M. Vorontsov, J. Mangano, V. Ovchinnikov, D. Bricker, E. Polnau, and A. Rostov, “Deep turbulence effects mitigation with coherent combining of 21 laser beams over 7 km,” Opt. Lett. 41(4), 840–843 (2016).
[Crossref] [PubMed]

Mu, J.

C. Geng, W. Luo, Y. Tan, H. Liu, J. Mu, and X. Li, “Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control,” Opt. Express 21(21), 25045–25055 (2013).
[Crossref] [PubMed]

Mu, Q.

Y. Wang, X. Chen, Z. Cao, X. Zhang, C. Liu, and Q. Mu, “Gradient cross-correlation algorithm for scene-based Shack-Hartmann wavefront sensing,” Opt. Express 26(13), 17549–17562 (2018).
[Crossref] [PubMed]

Noll, R. J.

R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66(3), 207–211 (1976).
[Crossref]

Ovchinnikov, V.

T. Weyrauch, M. Vorontsov, J. Mangano, V. Ovchinnikov, D. Bricker, E. Polnau, and A. Rostov, “Deep turbulence effects mitigation with coherent combining of 21 laser beams over 7 km,” Opt. Lett. 41(4), 840–843 (2016).
[Crossref] [PubMed]

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

Park, Y. K.

S. Shin, K. R. Lee, Y. S. Baek, and Y. K. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. A (Coll. Park) 9, 044042 (2018).

Polnau, E.

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

T. Weyrauch, M. Vorontsov, J. Mangano, V. Ovchinnikov, D. Bricker, E. Polnau, and A. Rostov, “Deep turbulence effects mitigation with coherent combining of 21 laser beams over 7 km,” Opt. Lett. 41(4), 840–843 (2016).
[Crossref] [PubMed]

Polnau, E. E.

T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, “Experimental demonstration of coherent beam combining over a 7 km propagation path,” Opt. Lett. 36(22), 4455–4457 (2011).
[Crossref] [PubMed]

Qiu, Q.

F. Li, C. Geng, G. Huang, Y. Yang, X. Li, and Q. Qiu, “Experimental demonstration of coherent combining with tip/tilt control based on adaptive space-to-fiber laser beam coupling,” IEEE Photonics J. 9(2), 1–12 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, X. Li, and Q. Qiu, “Co-aperture transceiving of two combined beams based on adaptive fiber coupling control,” IEEE Photonics Technol. Lett. 27(17), 1787–1790 (2015).
[Crossref]

Rativa, D.

D. Valente, D. Rativa, and B. Vohnsen, “Wavefront sensing using a liquid-filled photonic crystal fiber,” Opt. Express 23(10), 13005–13014 (2015).
[Crossref] [PubMed]

Rostov, A.

T. Weyrauch, M. Vorontsov, J. Mangano, V. Ovchinnikov, D. Bricker, E. Polnau, and A. Rostov, “Deep turbulence effects mitigation with coherent combining of 21 laser beams over 7 km,” Opt. Lett. 41(4), 840–843 (2016).
[Crossref] [PubMed]

Rostov, A. P.

T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, “Experimental demonstration of coherent beam combining over a 7 km propagation path,” Opt. Lett. 36(22), 4455–4457 (2011).
[Crossref] [PubMed]

Shin, S.

S. Shin, K. R. Lee, Y. S. Baek, and Y. K. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. A (Coll. Park) 9, 044042 (2018).

Shu, B.

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

Si, L.

D. Zhi, Y. Ma, Z. Chen, X. Wang, P. Zhou, and L. Si, “Large deflection angle, high-power adaptive fiber optics collimator with preserved near-diffraction-limited beam quality,” Opt. Lett. 41(10), 2217–2220 (2016).
[Crossref] [PubMed]

D. Zhi, P. Ma, Y. Ma, X. Wang, P. Zhou, and L. Si, “Novel adaptive fiber-optics collimator for coherent beam combination,” Opt. Express 22(25), 31520–31528 (2014).
[Crossref] [PubMed]

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Sivokon, V. P.

M. A. Vorontsov and V. P. Sivokon, “Stochastic parallel-gradient-descent technique for high-resolution wavefront phase-distortion correction,” J. Opt. Soc. Am. A 15(10), 2745–2758 (1998).
[Crossref]

Soldevila, F.

F. Soldevila, V. Duran, P. Clemente, J. Lancis, and E. Tajahuerce, “Phase imaging by spatial wavefront sampling,” Optica 5(2), 164–174 (2018).
[Crossref]

Su, R.

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

Tajahuerce, E.

F. Soldevila, V. Duran, P. Clemente, J. Lancis, and E. Tajahuerce, “Phase imaging by spatial wavefront sampling,” Optica 5(2), 164–174 (2018).
[Crossref]

Takayama, Y.

H. Takenaka, M. Toyoshima, and Y. Takayama, “Experimental verification of fiber-coupling efficiency for satellite-to-ground atmospheric laser downlinks,” Opt. Express 20(14), 15301–15308 (2012).
[Crossref] [PubMed]

Takenaka, H.

H. Takenaka, M. Toyoshima, and Y. Takayama, “Experimental verification of fiber-coupling efficiency for satellite-to-ground atmospheric laser downlinks,” Opt. Express 20(14), 15301–15308 (2012).
[Crossref] [PubMed]

Tan, Y.

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

C. Geng, W. Luo, Y. Tan, H. Liu, J. Mu, and X. Li, “Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control,” Opt. Express 21(21), 25045–25055 (2013).
[Crossref] [PubMed]

Toyoshima, M.

H. Takenaka, M. Toyoshima, and Y. Takayama, “Experimental verification of fiber-coupling efficiency for satellite-to-ground atmospheric laser downlinks,” Opt. Express 20(14), 15301–15308 (2012).
[Crossref] [PubMed]

Valente, D.

D. Valente, D. Rativa, and B. Vohnsen, “Wavefront sensing using a liquid-filled photonic crystal fiber,” Opt. Express 23(10), 13005–13014 (2015).
[Crossref] [PubMed]

Vohnsen, B.

D. Valente, D. Rativa, and B. Vohnsen, “Wavefront sensing using a liquid-filled photonic crystal fiber,” Opt. Express 23(10), 13005–13014 (2015).
[Crossref] [PubMed]

Vorontsov, M.

T. Weyrauch, M. Vorontsov, J. Mangano, V. Ovchinnikov, D. Bricker, E. Polnau, and A. Rostov, “Deep turbulence effects mitigation with coherent combining of 21 laser beams over 7 km,” Opt. Lett. 41(4), 840–843 (2016).
[Crossref] [PubMed]

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

Vorontsov, M. A.

T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, “Experimental demonstration of coherent beam combining over a 7 km propagation path,” Opt. Lett. 36(22), 4455–4457 (2011).
[Crossref] [PubMed]

S. L. Lachinova and M. A. Vorontsov, “Wavefront sensing and adaptive control in phased array of fiber collimators,” Proc. SPIE 7924, 79240F (2011).
[Crossref]

M. A. Vorontsov, S. L. Lachinova, L. A. Beresnev, and T. Weyrauch, “Obscuration-free pupil-plane phase locking of a coherent array of fiber collimators,” J. Opt. Soc. Am. A 27(11), A106–A121 (2010).
[Crossref] [PubMed]

M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, and K. Aschenbach, “Adaptive array of phase-locked fiber collimators: analysis and experimental demonstration,” IEEE J. Sel. Top. Quantum Electron. 15(2), 269–280 (2009).
[Crossref]

M. A. Vorontsov and S. L. Lachinova, “Laser beam projection with adaptive array of fiber collimators. I. Basic considerations for analysis,” J. Opt. Soc. Am. A 25(8), 1949–1959 (2008).
[Crossref] [PubMed]

S. L. Lachinova and M. A. Vorontsov, “Laser beam projection with adaptive array of fiber collimators. II. Analysis of atmospheric compensation efficiency,” J. Opt. Soc. Am. A 25(8), 1960–1973 (2008).
[Crossref] [PubMed]

S. L. Lachinova and M. A. Vorontsov, “Performance analysis of an adaptive phase-locked tiled fiber array in atmospheric turbulence conditions,” Proc. SPIE 5895, 58950O (2005).
[Crossref]

M. A. Vorontsov and V. P. Sivokon, “Stochastic parallel-gradient-descent technique for high-resolution wavefront phase-distortion correction,” J. Opt. Soc. Am. A 15(10), 2745–2758 (1998).
[Crossref]

Wang, X.

D. Zhi, Y. Ma, Z. Chen, X. Wang, P. Zhou, and L. Si, “Large deflection angle, high-power adaptive fiber optics collimator with preserved near-diffraction-limited beam quality,” Opt. Lett. 41(10), 2217–2220 (2016).
[Crossref] [PubMed]

D. Zhi, P. Ma, Y. Ma, X. Wang, P. Zhou, and L. Si, “Novel adaptive fiber-optics collimator for coherent beam combination,” Opt. Express 22(25), 31520–31528 (2014).
[Crossref] [PubMed]

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Wang, X. L.

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

Wang, Y.

Y. Wang, X. Chen, Z. Cao, X. Zhang, C. Liu, and Q. Mu, “Gradient cross-correlation algorithm for scene-based Shack-Hartmann wavefront sensing,” Opt. Express 26(13), 17549–17562 (2018).
[Crossref] [PubMed]

Weyrauch, T.

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

T. Weyrauch, M. Vorontsov, J. Mangano, V. Ovchinnikov, D. Bricker, E. Polnau, and A. Rostov, “Deep turbulence effects mitigation with coherent combining of 21 laser beams over 7 km,” Opt. Lett. 41(4), 840–843 (2016).
[Crossref] [PubMed]

T. Weyrauch, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, A. P. Rostov, E. E. Polnau, and J. J. Liu, “Experimental demonstration of coherent beam combining over a 7 km propagation path,” Opt. Lett. 36(22), 4455–4457 (2011).
[Crossref] [PubMed]

M. A. Vorontsov, S. L. Lachinova, L. A. Beresnev, and T. Weyrauch, “Obscuration-free pupil-plane phase locking of a coherent array of fiber collimators,” J. Opt. Soc. Am. A 27(11), A106–A121 (2010).
[Crossref] [PubMed]

M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, and K. Aschenbach, “Adaptive array of phase-locked fiber collimators: analysis and experimental demonstration,” IEEE J. Sel. Top. Quantum Electron. 15(2), 269–280 (2009).
[Crossref]

Wu, Y.

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

Xiao, H.

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Xu, X.

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Yang, Y.

G. Huang, C. Geng, F. Li, Y. Yang, and X. Li, “Adaptive SMF coupling based on precise-delayed SPGD algorithm and its application in free space optical communication,” IEEE Photonics J. 10(3), 7904212 (2018).
[Crossref]

Y. Yang, C. Geng, F. Li, G. Huang, and X. Li, “Multi-aperture all-fiber active coherent beam combining for free-space optical communication receivers,” Opt. Express 25(22), 27519–27532 (2017).
[Crossref] [PubMed]

F. Li, C. Geng, G. Huang, Y. Yang, X. Li, and Q. Qiu, “Experimental demonstration of coherent combining with tip/tilt control based on adaptive space-to-fiber laser beam coupling,” IEEE Photonics J. 9(2), 1–12 (2017).
[Crossref] [PubMed]

Zhang, X.

Y. Wang, X. Chen, Z. Cao, X. Zhang, C. Liu, and Q. Mu, “Gradient cross-correlation algorithm for scene-based Shack-Hartmann wavefront sensing,” Opt. Express 26(13), 17549–17562 (2018).
[Crossref] [PubMed]

Zhao, Y.

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Zhi, D.

D. Zhi, Y. Ma, Z. Chen, X. Wang, P. Zhou, and L. Si, “Large deflection angle, high-power adaptive fiber optics collimator with preserved near-diffraction-limited beam quality,” Opt. Lett. 41(10), 2217–2220 (2016).
[Crossref] [PubMed]

D. Zhi, P. Ma, Y. Ma, X. Wang, P. Zhou, and L. Si, “Novel adaptive fiber-optics collimator for coherent beam combination,” Opt. Express 22(25), 31520–31528 (2014).
[Crossref] [PubMed]

Zhou, P.

D. Zhi, Y. Ma, Z. Chen, X. Wang, P. Zhou, and L. Si, “Large deflection angle, high-power adaptive fiber optics collimator with preserved near-diffraction-limited beam quality,” Opt. Lett. 41(10), 2217–2220 (2016).
[Crossref] [PubMed]

D. Zhi, P. Ma, Y. Ma, X. Wang, P. Zhou, and L. Si, “Novel adaptive fiber-optics collimator for coherent beam combination,” Opt. Express 22(25), 31520–31528 (2014).
[Crossref] [PubMed]

X. Wang, X. L. Wang, P. Zhou, R. Su, C. Geng, X. Li, X. Xu, and B. Shu, “350-W coherent beam combining of fiber amplifiers with tilt-tip and phase-locking control,” IEEE Photonics Technol. Lett. 24(19), 1781–1784 (2012).
[Crossref]

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Zhu, J.

Y. Ma, X. Wang, J. Leng, H. Xiao, X. Dong, J. Zhu, W. Du, P. Zhou, X. Xu, L. Si, Z. Liu, and Y. Zhao, “Coherent beam combination of 1.08 kW fiber amplifier array using single frequency dithering technique,” Opt. Lett. 36(6), 951–953 (2011).
[Crossref] [PubMed]

Appl. Opt. (1)

M. Vorontsov, G. Filimonov, V. Ovchinnikov, E. Polnau, S. Lachinova, T. Weyrauch, and J. Mangano, “Comparative efficiency analysis of fiber-array and conventional beam director systems in volume turbulence,” Appl. Opt. 55(15), 4170–4185 (2016).
[Crossref] [PubMed]

Chin. Phys. B (1)

W. Luo, C. Geng, Y. Wu, Y. Tan, Q. Luo, H. Liu, and X. Li, “Experimental demonstration of single-mode fiber coupling using adaptive fiber coupler,” Chin. Phys. B 23(1), 014207 (2014).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

M. A. Vorontsov, T. Weyrauch, L. A. Beresnev, G. W. Carhart, L. Liu, and K. Aschenbach, “Adaptive array of phase-locked fiber collimators: analysis and experimental demonstration,” IEEE J. Sel. Top. Quantum Electron. 15(2), 269–280 (2009).
[Crossref]

IEEE Photonics J. (3)

G. Huang, C. Geng, F. Li, J. Liu, and X. Li, “Control bandwidth promotion of adaptive fiber-optics collimator and its application in coherent beam combination,” IEEE Photonics J. 10(6), 7105513 (2018).
[Crossref]

G. Huang, C. Geng, F. Li, Y. Yang, and X. Li, “Adaptive SMF coupling based on precise-delayed SPGD algorithm and its application in free space optical communication,” IEEE Photonics J. 10(3), 7904212 (2018).
[Crossref]

F. Li, C. Geng, G. Huang, Y. Yang, X. Li, and Q. Qiu, “Experimental demonstration of coherent combining with tip/tilt control based on adaptive space-to-fiber laser beam coupling,” IEEE Photonics J. 9(2), 1–12 (2017).
[Crossref] [PubMed]

IEEE Photonics Technol. Lett. (2)

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Figures (15)

Fig. 1
Fig. 1 Conventional beam director with H-S wave front sensor (a) and adaptive fiber optics collimator array with inherent wave front sensing (b).
Fig. 2
Fig. 2 Coupling of laser beam with oblique wavefront from space into single-mode-fiber.
Fig. 3
Fig. 3 Coupling efficiency varies as the offset between the fiber core and focal spot centroid.
Fig. 4
Fig. 4 Coarse scanning (a) and fine scanning (b) (corresponding to the red dotted box range in (a)) of the focal spot utilizing the fiber coupling of the AFOC.
Fig. 5
Fig. 5 Experimental setup.
Fig. 6
Fig. 6 Architecture of the wavefront sensor module.
Fig. 7
Fig. 7 (a) Wavefront profile measured through interferometer and (b) coefficients of the first 35 orders’ Zernike modes of the glass plate.
Fig. 8
Fig. 8 Spatial arrangement of the array sub-apertures.
Fig. 9
Fig. 9 Normalized coupled optical power as the function of time of the (a) first TT control and (b) second TT control.
Fig. 10
Fig. 10 Driving voltages applied on the (a) X- and (b) Y- direction of the AFOCs during the first and second fiber coupling process.
Fig. 11
Fig. 11 Trajectory of the driving voltage (a) and corresponding centroid point curves of the different AFOC in the far field in 20 times (b).
Fig. 12
Fig. 12 Sub-aperture slopes measured.
Fig. 13
Fig. 13 Measured and ideal recovery Zernike coefficients with orders from 3 to 9.
Fig. 14
Fig. 14 Wavefront profile recovered through the adaptive fiber coupling of the AFOC array. (a) Recovered wavefront profile; (b) Residual wavefront error profile.
Fig. 15
Fig. 15 Ideal recovery profile of the aberrations of the glass plate. (a) Recovered wavefront profile; (b) Residual wavefront error profile.

Tables (1)

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Table 1 Voltages offset between the second and the first coupling process under tests of 20 times

Equations (8)

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η= | O E O (x,y) F O * (x,y)dxdy | 2 O | E O (x,y) | 2 dxdy O | F O * (x,y) | 2 dxdy .
F O (x,y)= 2 π ω 0 2 exp( x 2 + y 2 ω 0 2 ).
s x =kα=2πΔx/(λf) , s y =kβ=2πΔy/(λf)
Δ V j X = V j,1 X V j,0 X , Δ V j Y = V j,1 Y V j,0 Y
s j X = χ j Δ V j X , s j Y = κ j Δ V j Y
[ α j β j ]=[ T j 1 T j 2 T j 3 T j 4 ][ V j x V j y ]
T est = [ T j 1 T j 2 T j 3 T j 4 ] est =[ α j0 α j1 α jN β j0 β j1 β jN ] [ V j0 x V j1 x V jN x V j0 y V j1 y V jN y ] +
[ s j X s j Y ]=k T est [ Δ V j X Δ V j Y ]

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