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In active coherent beam combination (CBC), a single-frequency seed laser is often considered to be indispensable for improving the spatial coherence property and obtaining high brightness in the far field. Nevertheless, the single-frequency radiation restricts the output power of coherently combined fiber amplifiers, owing to low stimulated Brillouin scattering (SBS) threshold. The seed laser oscillating at different frequencies proves to have the potential in mitigating SBS effects in fiber amplifiers, and therefore it is able to increase the emission power of CBC greatly. In this study, the basic mathematical model is founded on the basis of the fundamentals of CBC, and the multi-wavelength two-channel CBC estimation formula is proposed on the calculation of some two-channel examples. The optical path difference is the key factor in multi-wavelength CBC. We propose the concepts of "controllable area" and "uncontrollable area" for the optical path difference. If and only if the optical path difference falls into the controllable area, desirable combination effects can be obtained by the active control. In the case of getting the value of optical path difference randomly, excellent combination effects can still be gained and the probability has a close correlation with the spectrum profile, which is inversely proportional to the number of wavelengths approximatively. The multiple control method is competent for the multi-wavelength CBC. In this method, the optical path difference is adjusted into the controllable area by large optical path controllers and then the phase of each channel is locked by precise optical path controllers.
[1] Lou Q H 2010 High-power Fiber Laser and Its Applications (Hefei: University of Science and Technology of China Press) pp18—30 (in Chinese) [楼祺洪 2010 高功率光纤激光器及其应用(合肥:中国科学技术大学出版社) 第18—30页]
[2] Galvanauskas A 2004 Optics & Photonics News 15 42
[3] Du X W 2001 Engineering Science 3 21 (in Chinese) [杜祥琬 2001 中国工程科学 3 21]
[4] Xi R, Hou J, Jiang Z F 2008 Acta Phys. Sin. 57 853 (in Chinese) [肖 瑞、侯 静、姜宗福 2008 57 853]
[5] Chen Z L, Zhou P, Xu X J, Hou J, Jiang Z F 2008 Acta Phys. Sin. 57 3588 (in Chinese) [陈子伦、周 朴、许晓军、侯 静、姜宗福 2008 57 3588] 〖6] Zhou P, Liu Z, Wang X 2009 Applied Physics Letters 94 231106
[6] Zhou P, Ma Y, Wang X 2009 Optics Letters 34 2939
[7] Born M,Wolf E 1999 Principles of Optics (New York: Cambridge University Press) pp286
[8] Dawson J W,Messerly M J,Beach R J 2008 Optics Express 16 13241
[9] Dajani I, Zeringue C, Shay T 2009 IEEE J.Sel.Top.Quantum Electron 15 406
[10] Zhou P, Liu Z, Xu X 2009 Optics and Laser Technology 41 268
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[1] Lou Q H 2010 High-power Fiber Laser and Its Applications (Hefei: University of Science and Technology of China Press) pp18—30 (in Chinese) [楼祺洪 2010 高功率光纤激光器及其应用(合肥:中国科学技术大学出版社) 第18—30页]
[2] Galvanauskas A 2004 Optics & Photonics News 15 42
[3] Du X W 2001 Engineering Science 3 21 (in Chinese) [杜祥琬 2001 中国工程科学 3 21]
[4] Xi R, Hou J, Jiang Z F 2008 Acta Phys. Sin. 57 853 (in Chinese) [肖 瑞、侯 静、姜宗福 2008 57 853]
[5] Chen Z L, Zhou P, Xu X J, Hou J, Jiang Z F 2008 Acta Phys. Sin. 57 3588 (in Chinese) [陈子伦、周 朴、许晓军、侯 静、姜宗福 2008 57 3588] 〖6] Zhou P, Liu Z, Wang X 2009 Applied Physics Letters 94 231106
[6] Zhou P, Ma Y, Wang X 2009 Optics Letters 34 2939
[7] Born M,Wolf E 1999 Principles of Optics (New York: Cambridge University Press) pp286
[8] Dawson J W,Messerly M J,Beach R J 2008 Optics Express 16 13241
[9] Dajani I, Zeringue C, Shay T 2009 IEEE J.Sel.Top.Quantum Electron 15 406
[10] Zhou P, Liu Z, Xu X 2009 Optics and Laser Technology 41 268
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