An alternative theoretical model for an anomalous hollow beam

Optics Express

Volumn 16, Issue 19, 2008, Pages 15254-15267

  Cai, Yangjian ^a,b   Wang, Zhaoying ^a   Lin, Qiang ^a  

^a ZHEJIANG UNIVERSITY   (China)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; OPTICAL SYSTEMS;

ABCD OPTICAL SYSTEMS; DARK HOLLOW BEAM; ELLIPTICAL SYMMETRY; FLAT TOPPED BEAM; FOCUSING PROPERTIES; GAUSSIAN MODES; PARTIALLY COHERENT ANOMALOUS HOLLOW BEAMS; THEORETICAL MODELING;

GAUSSIAN BEAMS;

ARTICLE; COMPUTER SIMULATION; LASER; RADIATION SCATTERING; THEORETICAL MODEL;

COMPUTER SIMULATION; LASERS; MODELS, THEORETICAL; SCATTERING, RADIATION;

EID: 51849155097     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.16.015254     Document Type: Article

References (50)

1. C. Palma, "Decentered Gaussian beams, ray bundles and Bessel-Gaussian beams," Appl. Opt. 36, 1116-1120 (1997).
2. J. D. Strohschein, H. J. J. Seguin, and C. E. Capjack, "Beam propagation constans for a radial laser array," Appl. Opt. 37, 1045-1048 (1998).
3. N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
4. Y. Li, "Light beam with flat-topped profiles," Opt. Lett. 27, 1007-1009 (2002).
5. Y. Cai and Q. Lin, "Light beams with elliptical, flat-topped profile," J. Opt. A: Pure Appl. Opt. 6, 390-395 (2004).
6. Y. Cai and L. Zhang, "Coherent and partially coherent dark hollow beams with rectangular symmetry and paraxial propagation properties," J. Opt. Soc. Am. B 23, 1398-1407 (2006).
7. Y. Cai and S. He, "Propagation of various dark hollow beams in a turbulent atmosphere," Opt. Express 14, 1353-1367 (2006).
8. Z. Mei and D. Zhao, "Controllable elliptical dark-hollow beams," J. Opt. Soc. Am. A 23, 919-925 (2006).
9. H. T. Eyyuboǧiu, "Propagation and coherence properties of higher order partially coherent dark hollow beams in turbulence," Opt. Laser Technol. 40, 156-166 (2008).
10. Y. Baykal, "Formulation of correlations for general-type beams in atmospheric turbulence," J. Opt. Soc. Am. A 23, 889-893 (2006).
11. C. Arpali, C. Yazicioglu, H. T. Eyyubogiu, S. A. Arpali and Y. Baykal, "Simulator for general-type beam propagation in turbulent atmosphere," Opt. Express 14, 8918-8928 (2006).
12. J. Yin, W. Gao, and Y. Zhu, "Generation of dark hollow beams and their applications," in Progress in Optics, Vol. 44, E. Wolf, ed., (North-Holland, Amsterdam, 2003), pp.119-204.
13. T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, "Novel optical trap of atoms with a doughnut beam," Phys. Rev. Lett. 78, 4713-4716 (1997).
14. J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 297-301 (2000).
15. Y. Cai, X. Lu, and Q. Lin, "Hollow Gaussian beam and its propagation," Opt. Lett. 28, 1084-1086 (2003).
16. Y. Cai and Q. Lin, "Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems," J. Opt. Soc. Am. A 21, 1058-1065 (2004).
17. 2 factor of hollow Gaussian beams," Appl. Opt. 44, 7187-7190 (2005).
18. D. Deng, H. Yu, S. Xu, J. Shao, and Z. Fan, "Propagation and polarization properties of hollow Gaussian beams in uniaxial crystals," Opt. Commun. 281, 202-202 (2008).
19. D. Deng, H. Yu, S. Xu, G. Tian, and Z. Fan, "Nonparaxial propagation of vectorial hollow Gaussian beams," J. Opt. Soc. Am. B 25, 83-87 (2008).
20. Z. Liu, H. Zhao, J. Liu, J. Lin, M. A. Ahmad, and S. Liu, "Generation of hollow Gaussian beams by spatial filtering," Opt. Lett. 32, 2076-2078 (2007).
21. Y.Zhang, "Generation of thin and hollow beams by the axicon with a large open angle," Opt. Commun. 281, 508-514 (2008).
22. R. K. Singh, P. Senthilkumaran, K. Singh, "Focusing of a vortex carrying beam with Gaussian background by an apertured system in presence of coma," Opt. Commun. 281, 923-934(2008).
23. G. Wu, Q. Lou, J. Zhou, "Analytical vectorial structure of hollow Gaussian beams in the far field," Opt. Express 16, 6417-6424 (2008).
24. T. Wang, J. Pu, and Z. Chen, "Propagation of partially coherent vortex beams in a turbulent atmosphere," Opt. Eng. 47, 036002 (2008).
25. Y. Cai, H. T. Eyyuboǧiu, and Y. Baykal, "Scintillation of astigmatic dark hollow beams in a weak turbulent, atmosphere," J. Opt. Soc. Am. A 25, 1497-1503 (2008).
26. Y. K. Wu, J. Li, and J. Wu, "Anomalous hollow electron beams in a storage ring," Phys. Rev. Lett. 94, 134802 (2005).
27. Y. Cai, "Model for an anomalous hollow beam and its paraxial propagation," Opt. Lett. 32, 3179-3181 (2007).
28. Y. Cai and F. Wang, "Partially coherent anomalous hollow beam and its paraxial propagation," Phys. Lett. A 372, 4654-4660 (2008).
29. J. A. Arnaud, "Hamiltonian theory of beam mode propagation," in Progress in Optics, Vol. XI, E. Wolf, ed. (North-Holland, 1973), pp. 247-304.
30. Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik 85, 67 (1990).
31. S. A. Collins, "Lens-system diffraction integral written in terms of matrix optics," J. Opt. Soc. Am. 60, 1168-1177 (1970).
32. R. K. Luneburg, Mathematical Theory of Optics (U. California Press, 1964).
33. S. Wang and L. Ronchi, "Principles and design of optical arrays," in Progress in Optics, Vol. XXV, E. Wolf, ed. (North-Holland, 1988), pp. 279.
34. L. Mandel, and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).
35. Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).
36. J. C. Ricklin and F. M. Davidson, "Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication," J. Opt. Soc. Am. A 19, 1794-1802 (2002).
37. Q. Lin and Y. Cai, "Tensor ABCD law for partially coherent twisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).
38. Y. Cai and S. Zhu, "Ghost imaging with incoherent and partially coherent light radiation," Phys. Rev. E 71, 056607 (2005).
39. Y. Cai and S. Zhu, "Ghost interference with partially coherent radiation," Opt. Lett. 29, 2716-2718 (2004).
40. Y. Cai, Q. Lin, and S. Zhu, "Coincidence fractional Fourier transform with entangled photon pairs and incoherent light," Appl. Phy. Lett. 86, 021112 (2005).
41. Y. Cai and S. Zhu, "Coincidence fractional Fourier transform with partially coherent light radiation," J. Opt. Soc. Am. A 22, 1798-1804 (2005).
42. F. Wang, Y. Cai, and S. He, "Experimental, observation of coincidence fractional. Fourier transform with a partially coherent beam," Opt. Express 14, 6999-7004 (2006).
43. Y. Cai and S. He, "Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere," Appl. Phys. Lett. 89, 041.117 (2006).
44. Y. Cai and L. Hu, "Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams through an apertured astigmatic optical system," Opt. Lett. 31, 685-687 (2006).
45. Y. Cai and U. Peschel, "Second-harmonic generation by an astigmatic partially coherent beam," Opt. Express 15, 15480-15492 (2007).
46. F. Wang and Y. Cai, "Experimental observation of fractional Fourier transform for a partially coherent optical, beam with Gaussian statistics," J. Opt. Soc. Am. A 24, 1937-1944 (2007).
47. X. Lu and Y. Cai, "Partially coherent circular and elliptical dark hollow beams and their paraxial propagations," Phys. Lett. A 369, 157-166 (2007).
48. C. Zhao, Y. Cai, F. Wang, X. Lu, and Y. Wang, "Generation of a high-quality partially coherent dark hollow beam with a multimode fiber," Opt. Lett. 33,1389-1391(2008).
49. F. V. Dijk, G. Gbur, and T. D. Visser, "Shaping the focal intensity distribution using spatial coherence," J. Opt. Soc. Am. A 25, 575-581 (2008).
50. F. Wang and Y. Cai, "Experimental generation of a partially coherent flat-topped beam," Opt. Lett. 33, 1795-1797 (2008).