Average intensity of a partially coherent rectangular flat-topped laser array propagating in a turbulent atmosphere

Applied Optics

Volumn 48, Issue 28, 2009, Pages 5251-5258

  Zhou, Pu ^a   Ma, Yanxing ^a   Wang, Xiaolin ^a   Ma, Haotong ^a   Xu, Xiaojun ^a   Liu, Zejin ^a  

^a NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MOLECULAR PHYSICS; OPTICS;

ANALYTICAL EXPRESSIONS; CORRELATION LENGTHS; EXTENDED HUYGENS-FRESNEL PRINCIPLES; INTENSITY DISTRIBUTION; INTENSITY OF TURBULENCES; PARTIALLY COHERENT; TARGET PLANE; TURBULENT ATMOSPHERE;

ATMOSPHERIC TURBULENCE;

EID: 70349954911     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.48.005251     Document Type: Article

References (54)

1. A. Desfarges-Berthelemot, V. Kermè ne, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthé lé my "Coherent combining of fibre lasers", C. R. Physique 7, 244-253 (2006).
2. H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, "Self-organized coherence in fiber laser arrays", Opt. Lett. 30, 1339-1341 (2005). (Pubitemid 40818559)
3. A. Shirakawa, T. Saitou, T. Sekiguchi, and K. Ueda, "Coherent addition of fiber lasers by use of a fiber coupler", Opt. Express 10, 1167-1172 (2002).
4. L. Michaille, C. R. Bennett, D. M. Taylor, and T. J. Shepherd, "Multi-core photonic crystal fibers for high power lasers and amplifiers", Proc. SPIE 6102, 61020W (2006).
5. C. J. Corcoran and F. Durville, "Experimental demonstration of a phase locked laser array using a self-Fourier cavity", Appl. Phys. Lett. 86, 201118 (2005).
6. P. Bourdon, V. Jolivet, B. Bennai, L. Lombard, G. Canat, E. Pourtal, Y. Jaouen, and O. Vasseur, "Coherent beam combining of fiber amplifier arrays and application to laser beam propagation through turbulent atmosphere", Proc. SPIE 6873, 687316 (2008).
7. M. Fridman, V. Eckhouse, N. Davidson, and A. A. Friesem, "Simulataneous coherent and spectral addition of fiber lasers", Opt. Lett. 33, 648-650 (2008).
8. E. J. Bochove, P. K. Cheo, and G. G. King, "Self-organization in a multicore fiber laser array", Opt. Lett. 28, 1200-1203 (2003).
9. W. Liang, N. Satyan, F Aflatouni, A. Yariv, A. Kewitsch, G. Rakuljic, and H. Hashemi, "Coherent beam combining with multilevel optical phase locked loops", J. Opt. Soc. Am. B 24, 2930-2939 (2007).
10. T. M. Shay, J. T. Baker, A. D. Sanchez, C. A. Robin, C. L. Vergien, C. Zerinque, D. Gallant, C. A. Lu, B. Pulford, T. J. Bronder, and A. Lucero, "High power phase locking of a fiber amplifier array", Proc. SPIE 7195, 71951M (2009).
11. J. Anderegg, S. Brosnan, E. C. Cheung, P. Epp, D. Hammons, H. Komine, M. Weber, and M. Wickham, "Coherently coupled high power fiber arrays", Proc. SPIE 6102, 61020U (2006).
12. S. J. Augst, J. Ranka, T. Y. Fan, and A. Sanchez, "Beam combining of ytterbium fiber amplifiers", J. Opt. Soc. Am. B 24, 1707-1715 (2007).
13. L. Liu, M. A. Vorontsov, E. Polnau, T. Weyrauch, and L. A. Beresnev, "Adaptive phase-locked fiber array with wavefront phase tip-tilt compensation using piezoelectric fiber positioners", Proc. SPIE 6708, 67080K (2007).
14. P. Zhou, Z. Liu, X. Wang, Y Ma, H. Ma, X. Xu, and S. Guo, "Coherent beam combining of fiber amplifiers using stochastic parallel gradient descent algorithm and its application", IEEE J. Sel. Top. Quantum Electron. 15, 248-256 (2009).
15. J. E. Rothenberg, "Passive coherent phasing of fiber laser arrays", Proc. SPIE 6873, 687315 (2008).
16. Towards 100kW fiber laser systems-Scaling up power in fiber lasers for beam combining, Crystal Fibre A/S, White paper (28 February 2006), http://www.crystal-fibre.com.
17. E. C. Cheung, J. G. Ho, G. D. Goodno, R. R. Rice, J. Rothenberg, P. Thielen, M. Weber, and M. Wickham, "Diffractive-opticsbased beam combination of a phase-locked fiber laser array", Opt. Lett. 33, 354-356 (2008).
18. Y. Jeong, J. Nilsson, J. K. Sahu, D. N. Payne, R. Horley L. M. B. Hickey and P. W Turner, "Power scaling of singlefrequency ytterbium-doped fiber master-oscillator poweramplifier sources up to 500W", IEEE J. Sel. Top. Quantum Electron. 13, 546-551 (2007).
19. S. J. Brosnan, M. G. Wichham, and H. Komine, "Method and apparatus for optimizing the target intensity distribution transmitted from a fiber coupled array", U. S. patent 7, 283, 702 (16 October 2007).
20. G. D. Goodno, C. P. Asman, J. Anderegg, S. Brosnan, E. C. Cheung, D. Hammons, H. Injeyan, H. Komine, W H. Long, Jr., M. McClellan, S. J. McNaught, S. Redmond, R. Simpson, J. Sollee, M. Weber, S. B. Weiss, and M. Wickham, "Brightness-scaling potential of actively phase-locked solidstate laser arrays", IEEE J. Sel. Top. Quantum Electron. 13, 460-472 (2007).
21. S. Redmond, S. McNaught, J. Zamel, L. Iwaki, S. Bammert, R. Simpson, S. B. Weiss, J. Szot, B. Flegal, T. Lee, H. Komine, and H. Injeyan, "15kW near-diffraction-limited singlefrequency Nd:YAG laser", in CLEO /QELS /PHAST (Optical Society of America, 2007).
22. J. Marmo, H. Injeyan, H. Komine, S. McNaught, J. Machan, and J. Sollee, "Joint high power solid state laser program advancements at Northrop Grumman", Proc. SPIE 7195, 719507 (2009).
23. Northrop Grumman Space Technology, El Segundo, Calif, http://www.irconnect.com/noc/press/pages/news-releases.html?d=161575.
24. F Gori, "Flattened Gaussian beams", Opt. Commun. 107, 335-341 (1994).
25. Y. Li, "Light beam with flat-topped profiles", Opt. Lett. 27, 1007-1009 (2002).
26. Y. Cai and Q. Lin, "Light beams with elliptical flat-topped profiles", J. Opt. A: Pure Appl. Opt. 6, 390-395 (2004).
27. Y. Cai and S. He, "Partially coherent flattened Gaussian beam and its paraxial propagation properties", J. Opt. Soc. Am. A 23, 2623-2628 (2006). (Pubitemid 44781662)
28. F Wang and Y Cai, "Experimental generation of a partially coherent flat-topped beam", Opt. Lett. 33, 1795-1797 (2008).
29. C. Zhao, Y Cai, X. Lu, and H. T. Eyyuboǧlu, "Radiation force of coherent and partially coherent flat-topped beams on a Rayleigh particle", Opt. Express 17, 1753-1765 (2009).
30. H. T. Eyyuboǧ lu, A. Arpali, and Y. Baykal, "Flat topped beams and their characteristics in turbulent media", Opt. Express 14, 4196-4207 (2006).
31. Y Cai and S. He, "Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere", Appl. Phys. Lett. 89, 041117 (2006).
32. Y Cai and S. He, "Propagation of various dark hollow beams in a turbulent atmosphere", Opt. Express 14, 1353-1367 (2006). (Pubitemid 43270795)
33. Y Cai, "Propagation of various flat-topped beams in a turbulent atmosphere", J. Opt. A: Pure Appl. Opt. 8, 537-545 (2006). (Pubitemid 44017627)
34. H. T. Eyyuboǧlu, "Hermite-cosine-Gaussian laser beam and its propagation characteristics in turbulent atmosphere", J. Opt. Soc. Am. A 22, 1527-1535 (2005).
35. Y. Cai, X. Lu, H. T. Eyyuboǧlu, and Y Baykal, "Paraxial propagation of a partially coherent flattened Gaussian beam through apertured ABCD optical systems", Opt. Commun. 281, 3221-3229 (2008).
36. Y Cai, Y Chen, H. T. Eyyuboǧlu, and Y Baykal, "Propagation of laser array beams in a turbulent atmosphere", Appl. Phys. B 88, 467-475 (2007).
37. Y Cai, Q. Lin, H. T. Eyyuboǧlu, and Y Baykal, "Off-axis Gaussian Schell-model beam and partially coherent laser array beam in a turbulent atmosphere", Opt. Commun. 278, 157-167 (2007).
38. X. Chu, Z. Liu, and Y Wu, "Propagation of a general multi- Gaussian beam in turbulent atmosphere in a slant path", J. Opt. Soc. Am. A 25, 74-49 (2008).
39. X. Ji, E. Zhang, and B. Lü, "Superimposed partially coherent beams propagating through atmospheric turbulence", J. Opt. Soc. Am. B 25, 825-833 (2008).
40. X. Ji and Z. Pu, "Angular spread of Gaussian Schell-model array beams propagating through atmospheric turbulence", Appl. Phys. B 93, 915-923 (2008).
41. X. Ji and X. Li, "Influence of turbulence on the coherent and incoherent combinations of off-axis Gaussian beams", Acta Phys. Sin. 57, 7674-7679 (2008).
42. Y Zhu, D. Zhao, and X. Du, "Propagation of stochastic Gaussian-Schell model array beams in turbulent atmosphere", Opt. Express 16, 18437-18442 (2008).
43. H. T. Eyyuboǧlu, Y Baykal, and Y Y Cai, "Scintillations of laser array beams", Appl. Phys. B 91, 265-271 (2008).
44. B. Li and B. Lü, "Characterization of off-axis superposition of partially coherent beams", J. Opt. A: Pure Appl. Opt. 5, 303-307 (2003).
45. E. Zhang, X. Ji, and B. Lü, "Propagation of the off-axis superposition of partially coherent beams through atmospheric turbulence", Chin. Phys. B 18, 571-580 (2008).
46. P. Zhou, Z. Liu, X. Xu, and X. Chu, "Comparative study on the propagation performance of coherently combined and incoherently combined beams", Opt. Commun. 282, 1640-1647 (2009).
47. Y Li, "Flat-topped beam with non-circular cross-sections", J. Mod. Opt. 50, 1957-1966 (2003).
48. X. Xiao, X. Ji, and B. Lü, "The influence of turbulence on propagation properties of partially coherent sinh-Gaussian beams and their beam quality in the far field", Opt. Laser Technol. 40, 129-136 (2008).
49. M. Alavinejad and B. Ghafary "Turbulence-induced degradation properties of partially coherent flat-topped beams", Opt. Lasers Eng. 46, 357-362 (2008).
50. S. C. H. Wang and M. A. Plonus, "Optical beam propagation for a partially coherent source in the turbulent atmosphere", J. Opt. Soc. Am. 69, 1297-1304 (1979).
51. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, 1980).
52. X. Ji and B. Lü, "Turbulence-induced quality degradation of partially coherent beams", Opt. Commun. 251, 231-236 (2005). (Pubitemid 40851952)
53. G. Gbur and E. Wolf, "Spreading of partially coherent beams in random media", J. Opt. Soc. Am. A 19, 1592-1598 (2002).
54. T. Shirai, A. Dogariu, and E. Wolf, "Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence", J. Opt. Soc. Am. A 20, 1094-1102 (2003).