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The theoretical model of the hexagonal fiber array is established based on Fraunhofer diffraction theory. The far field distribution of the hexagonal fiber array is presented. Energy contained in the central lobe and Strehl ratio are taken as the two evaluation parameters of coherent combined system. The effects of arrangement, amplitude，filling factor and phase errors on far field distribution are analyzed and simulated. A seven-element hexagonal fiber array with a hexagonal prism is experimentally constructed. The hill climbing method is employed to detect and lock the element phase. The filling factor of the coherent array achieves 066. The combined beam of Strehl ratio of 070 and energy contained in the central lobe of 040 is experimentally obtained. And the energy contained in the central lobe of two-element linear array and four-element square array are 045 and 018, respectively.
[1] ［1］Anderegg J, Brosnan S, Weber M 2003 SPIE 4974 1
[2] ［2］Anderegg J, Brosnan S, Cheung E 2006 SPIE 6102 6102U
[3] ［3］Fan T Y 2005 IEEE J.Quantum. Electron. 11 567
[4] ［4］Jones D C, Scott A M, Clark S 2004 SPIE 5335 125
[5] ［5］Li Y Z, Qian L J, Lu D Q 2007 Opt. Laser Tech. 39 957
[6] ［6］Xiao R, Hou J, Jiang Z F 2007 Acta Phys. Sin. 56 4550 ( in Chinese) ［肖瑞、 侯静、 姜宗福 2007 物理学报 56 4550］
[7] ［7］Liu Y, Cheng Y, Xu L X, Zheng R, Wang X B, Wang H S, Lu C Y, Sun B 2009 Acta Phys. Sin. 58 3929 (in Chinese) ［刘洋、 程勇、 许立新、 郑睿、 王小兵、 王会升、 卢常勇、 孙斌 2009 物理学报 58 3929］
[8] ［8］Xiao R, Hou J, Jiang Z F, Liu M 2006 Acta Phys. Sin. 55 6464 ( in Chinese) ［肖瑞、 侯静、 姜宗福、 刘明 2006 物理学报 55 6464］
[9] ［9］Gary A E 1993 Surface Emitting Semiconductor Lasers and Arrays (Boston: Academic Press)
[10] ］Lü B D 2003 Laser Optics (Beijing: High Education Press) ( in Chinese) ［吕百达 2003 激光光学(北京：高等教育出版社)］
[11] ］Zhou P, Liu Z J, Xu X J, Chen Z L 2008 Appl. Opt. 47 3350
[12] ］Fan X Y, Liu J J, Liu J S, Wu J L 2009 Opt. Laser Technol. 42 274
[13] ］Nabors C D 1994 Appl. Opt. 33 2284
[14] ］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］
[15] ］Fan X Y, Liu J J, Liu J S, Wu J L Chin. Opt. Lett. 8 48
[16] ］Cao J Q, Lu Q S, Hou J, Xu X J 2008 Chin. J. Lasers 35 350 (in Chinese) ［曹涧秋、 陆启生、 侯静、 徐晓军 2008 中国激光 35 350］
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[1] ［1］Anderegg J, Brosnan S, Weber M 2003 SPIE 4974 1
[2] ［2］Anderegg J, Brosnan S, Cheung E 2006 SPIE 6102 6102U
[3] ［3］Fan T Y 2005 IEEE J.Quantum. Electron. 11 567
[4] ［4］Jones D C, Scott A M, Clark S 2004 SPIE 5335 125
[5] ［5］Li Y Z, Qian L J, Lu D Q 2007 Opt. Laser Tech. 39 957
[6] ［6］Xiao R, Hou J, Jiang Z F 2007 Acta Phys. Sin. 56 4550 ( in Chinese) ［肖瑞、 侯静、 姜宗福 2007 物理学报 56 4550］
[7] ［7］Liu Y, Cheng Y, Xu L X, Zheng R, Wang X B, Wang H S, Lu C Y, Sun B 2009 Acta Phys. Sin. 58 3929 (in Chinese) ［刘洋、 程勇、 许立新、 郑睿、 王小兵、 王会升、 卢常勇、 孙斌 2009 物理学报 58 3929］
[8] ［8］Xiao R, Hou J, Jiang Z F, Liu M 2006 Acta Phys. Sin. 55 6464 ( in Chinese) ［肖瑞、 侯静、 姜宗福、 刘明 2006 物理学报 55 6464］
[9] ［9］Gary A E 1993 Surface Emitting Semiconductor Lasers and Arrays (Boston: Academic Press)
[10] ］Lü B D 2003 Laser Optics (Beijing: High Education Press) ( in Chinese) ［吕百达 2003 激光光学(北京：高等教育出版社)］
[11] ］Zhou P, Liu Z J, Xu X J, Chen Z L 2008 Appl. Opt. 47 3350
[12] ］Fan X Y, Liu J J, Liu J S, Wu J L 2009 Opt. Laser Technol. 42 274
[13] ］Nabors C D 1994 Appl. Opt. 33 2284
[14] ］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］
[15] ］Fan X Y, Liu J J, Liu J S, Wu J L Chin. Opt. Lett. 8 48
[16] ］Cao J Q, Lu Q S, Hou J, Xu X J 2008 Chin. J. Lasers 35 350 (in Chinese) ［曹涧秋、 陆启生、 侯静、 徐晓军 2008 中国激光 35 350］
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