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The effect of atmosphere turbulence on phase modulation signal in coherent beam combination with multi-dithering technique is studied. Analytical formulas for the phase modulation signal of beam array propagating in a turbulent atmosphere are derived based on extended Huygens-Fresnel integral. Then the effects of propagation distance, turbulence intensity, filling factor and size of beam array on phase modulation signal are numerically calculated. The results show that with transmission distance increasing, there occurs a maximum of the amplitude of phase modulation signals. With the intensity of atmosphere turbulence increasing, the maximum of amplitude of phase modulation signals will appear in a shorter distance. When fill factor does not change, the distance between the laser source and the maximum of amplitude of phase modulation signals will be increased with of the dimension of laser beam increasing. When the dimension of laser beam does not change, the distance between the laser source and the maximum of amplitude of phase modulation signals will be increased with fill factor decreasing. Finally, the effects of parallel beam array and conformal focused beam array on phase modulation signal are compared, finding that the distance between the laser source and the maximum of amplitude of phase modulation signals can be changed by changing the focusing distance of conformal focused beam array.
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Keywords:
- atmospheric turbulence effects /
- coherent beam combination /
- multi-dithering technique /
- phase modulation
[1] Shay T M, Baker J T, Sanchez A D, Robin C A, Vergien C L, Zeringue C, Gallant D, Chunte L A, Pulford B, Bronder T J, Lucero A 2009 Proc. of SPIE 7195 71951M-1
[2] Anderegg J, Brosnan S, Cheung E, Epp P, Hammons D, Komine H, Weber M, Wickham M 2006 Proc. of SPIE 6102 6102U-1
[3] Xiao R, Hou J, Jiang Z F 2006 Acta phys. Sin. 55 184 (in Chinese) [肖 瑞、 侯 静、 姜宗福 2006 物理学报 55 184]
[4] Shay T M, Benham V 2004 Proc. of SPIE 5550 313
[5] Shay T M, Benham V, Baker J T, Capt. Benjamin Ward, Sanchez A D, Culpepper M A, Sgt. D. Pilkington, Lt. Justin Spring, Lt. Douglas J. Nelson, Lt. Chunte A. Lu 2006 Opt. Express 14 12022
[6] Shay T M, Benham V, Lt. Justin Spring, Capt. Benjamin Ward, Ghebremichael F, Culpepper M A, Sanchez A D, Baker J T, Pilkington S D, Richard Berdine 2006 Proc. of SPIE 6102 61020V-1
[7] Zhou P, Liu Z J, Wang X L, Ma Y X, Ma H T, Xu X J 2009 Appl. Phys. Lett. 94 231106
[8] Zhou P, Liu Z J, Wang X L, Ma Y X, Ma H T, Xu X J, Guo S F 2009 IEEE J. Sel. Top. Topics Quantum Electron 15 248
[9] Chu X X, Liu Z J, Wu Y 2008 J. Opt. Soc. Am. A 25 74
[10] Cai Y, Chen Y, Eyyuboglu H T, Baykal Y 2007 Appl. Phys. B 88 467
[11] Zhou P, Wang X L, Ma Y X, Ma H T, Xu X J, Liu Z J 2009 J. Opt. A: Pure Appl. Opt. 11 105707
[12] Zhou P 2009 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [周朴 2009 博士学位论文 (长沙: 国防科技大学)]
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[1] Shay T M, Baker J T, Sanchez A D, Robin C A, Vergien C L, Zeringue C, Gallant D, Chunte L A, Pulford B, Bronder T J, Lucero A 2009 Proc. of SPIE 7195 71951M-1
[2] Anderegg J, Brosnan S, Cheung E, Epp P, Hammons D, Komine H, Weber M, Wickham M 2006 Proc. of SPIE 6102 6102U-1
[3] Xiao R, Hou J, Jiang Z F 2006 Acta phys. Sin. 55 184 (in Chinese) [肖 瑞、 侯 静、 姜宗福 2006 物理学报 55 184]
[4] Shay T M, Benham V 2004 Proc. of SPIE 5550 313
[5] Shay T M, Benham V, Baker J T, Capt. Benjamin Ward, Sanchez A D, Culpepper M A, Sgt. D. Pilkington, Lt. Justin Spring, Lt. Douglas J. Nelson, Lt. Chunte A. Lu 2006 Opt. Express 14 12022
[6] Shay T M, Benham V, Lt. Justin Spring, Capt. Benjamin Ward, Ghebremichael F, Culpepper M A, Sanchez A D, Baker J T, Pilkington S D, Richard Berdine 2006 Proc. of SPIE 6102 61020V-1
[7] Zhou P, Liu Z J, Wang X L, Ma Y X, Ma H T, Xu X J 2009 Appl. Phys. Lett. 94 231106
[8] Zhou P, Liu Z J, Wang X L, Ma Y X, Ma H T, Xu X J, Guo S F 2009 IEEE J. Sel. Top. Topics Quantum Electron 15 248
[9] Chu X X, Liu Z J, Wu Y 2008 J. Opt. Soc. Am. A 25 74
[10] Cai Y, Chen Y, Eyyuboglu H T, Baykal Y 2007 Appl. Phys. B 88 467
[11] Zhou P, Wang X L, Ma Y X, Ma H T, Xu X J, Liu Z J 2009 J. Opt. A: Pure Appl. Opt. 11 105707
[12] Zhou P 2009 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [周朴 2009 博士学位论文 (长沙: 国防科技大学)]
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