Chin. Phys. Lett.  2007, Vol. 24 Issue (9): 2575-2578    DOI:
Original Articles |
Off-Axis Astigmatic Gaussian Beam Combination Beyond the Paraxial Approximation
GAO Zeng-Hui1,2;Lü Bai-Da2
1Institute of Optoelectronic Information, Yibin University, Yibin 6440002Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064
Cite this article:   
GAO Zeng-Hui, Lü Bai-Da 2007 Chin. Phys. Lett. 24 2575-2578
Download: PDF(420KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Taking the off-axis astigmatic Gaussian beam combination as an example,
the beam-combination concept is extended to the nonparaxial regime. The
closed-form propagation expressions for coherent and incoherent combinations of nonparaxial off-axis astigmatic Gaussian beams with rectangular geometry are derived and illustrated with numerical examples. It is shown that the intensity distributions of the resulting beam depend on the combination scheme and beam parameters in general, and in the paraxial approximation (i.e., for the small f-parameter) our results reduce to the paraxial ones.
Keywords: 41.85.Ew      41.85.Ja      42.25.Kb     
Received: 28 March 2007      Published: 16 August 2007
PACS:  41.85.Ew (Particle beam profile, beam intensity)  
  41.85.Ja (Particle beam transport)  
  42.25.Kb (Coherence)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I9/02575
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
GAO Zeng-Hui
Lü Bai-Da
[1] Brunel M, Floch A L, Bretenaker F, Marty J and Molva E 1998 Appl. Opt. 37 2402
[2] Strohschein J D, Seguin H J J and Capjack C E 1998 Appl. Opt. 37 1045
[3] Baker H J, Hall D R, Homby A M, Morley R J, Taghizadch M R andYelden E F 1996 IEEE J. Quantum Electron. 32 400
[4] Abramski K M, Colley A D, Baker H J and Hall D R 1996 IEEE J.Quantum Electron. 32 340
[5] Bilida W D, Strohschein J D and Seguin H J J 1997 SPIE 2987 13
[6] Xiao R, Hou J, Jiang Z F and Liu M 2006 Acta Phys. Sin. 55 6464 (in Chinese)
[7] Lu B D and Ma H 1999 Opt. Commun. 171 185
[8] Lu B D and Ma H 2000 Opt. Commun. 178 395
[9] Nemto S 1994 Appl. Opt. 33 3687
[10] Zeng X, Feng Z and An Y 2004 Appl. Opt. 43 5168
[11] Gao Z H and Lu B D 2006 Chin. Phys. Lett. 23 106
[12] Luneberg R K 1966 Mathematical Theory of Optics (Berkeley:California University Press)
[13] Nemto S 1990 Appl. Opt. 29 1940
Related articles from Frontiers Journals
[1] LIN Jie, **, CHENG Jing . Lensless Ghost Diffraction with Partially Coherent Sources: Effects of the Source Size, Transverse Coherence, Detector Size and Defocusing Length[J]. Chin. Phys. Lett., 2011, 28(9): 2575-2578
[2] ZHAO Yan-Zhong**, SUN Hua-Yan, ZHENG Yong-Hui . An Approximate Analytical Propagation Formula for Gaussian Beams through a Cat-Eye Optical Lens under Large Incidence Angle Condition[J]. Chin. Phys. Lett., 2011, 28(7): 2575-2578
[3] DENG Hai-Xiao**, FENG Chao, LIU Bo, WANG Dong, WANG Xing-Tao, ZHANG Meng . Characterizing the Temporal Structure of a Relativistic Electron Bunch[J]. Chin. Phys. Lett., 2011, 28(12): 2575-2578
[4] LI Jian-Long. New Expressions for Dark-Hollow Light Beams[J]. Chin. Phys. Lett., 2010, 27(6): 2575-2578
[5] ZHAO Yan-Zhong, SUN Hua-Yan, YU Xia-Qiong, FAN Meng-Shan. Three-Dimensional Analytical Formula for Oblique and Off-Axis Gaussian Beams Propagating through a Cat-Eye Optical Lens[J]. Chin. Phys. Lett., 2010, 27(3): 2575-2578
[6] LI Jian-Long, TANG Shi-Hong, LU Bai-Da. A Transverse-Longitudinal Cross-Spectral Density Matrix of Partially Coherent Electromagnetic Beams[J]. Chin. Phys. Lett., 2010, 27(2): 2575-2578
[7] WANG Xiao-Lin, ZHOU Pu, MA Yan-Xing, MA Hao-Tong, XU Xiao-Jun, LIU Ze-Jin, ZHAO Yi-Jun. Coherent Beam Combining of Two Fiber Amplifiers Seeded by Multi-Wavelength Fiber Laser[J]. Chin. Phys. Lett., 2010, 27(12): 2575-2578
[8] MA Yan-Xing, LIU Ze-Jin, ZHOU Pu, WANG Xiao-Lin, MA Hao-Tong, LI Xiao, XU Xiao-Jun, SI Lei. Coherent Beam Combination of Three Fiber Amplifiers with Multi-dithering Technique[J]. Chin. Phys. Lett., 2009, 26(4): 2575-2578
[9] ZHOU Pu, LIU Ze-Jin, WANG Xiao-Lin, MA Yan-Xing, LI Xiao, XU Xiao-Jun, GUO Shao-Feng. Coherent Beam Combining of Three Watt-Level Fiber Amplifiers Using a DSP-Based Stochastic Parallel Gradient Descent Algorithm[J]. Chin. Phys. Lett., 2009, 26(4): 2575-2578
[10] ZHANG Yi-Qi, LU Ke-Qing, ZHANG Mei-Zhi, LI Ke-Hao, LIU Shuang, ZHANG Yan-Peng. Dynamics of Incoherent Photovoltaic Spatial Solitons[J]. Chin. Phys. Lett., 2009, 26(3): 2575-2578
[11] SHU Jian-Hua, CHEN Zi-Yang, PU Ji-Xiong. Polarization Changes of Partially Coherent Electromagnetic Vortex Beams Propagating in Turbulent Atmosphere[J]. Chin. Phys. Lett., 2009, 26(2): 2575-2578
[12] JI Xiao-Ling. Rayleigh Range of Hermite-Gaussian Array Beams[J]. Chin. Phys. Lett., 2009, 26(12): 2575-2578
[13] REN Ji-Rong, ZHU Tao, DUAN Yi-Shi. Topological Properties of Spatial Coherence Function[J]. Chin. Phys. Lett., 2008, 25(2): 2575-2578
[14] CHU Xiu-Xiang, LIU Ze-Jin, WU Yi. Propagation of Four-Petal Gaussian Beams in Turbulent Atmosphere[J]. Chin. Phys. Lett., 2008, 25(2): 2575-2578
[15] HUANG Chun-Fu, GUO Qi. Interaction of Nonlocal Incoherent White-Light Solitons[J]. Chin. Phys. Lett., 2007, 24(5): 2575-2578
Viewed
Full text


Abstract