[1] [1] W. P. Dumke. Angular beam divergence in double-heterojunction lasers with very thin active regions［J］. IEEE J. Quantum Electron., 1975, QE-11(7): 400～402

[2] [2] Amir Naqwi, Franz Durst. Focusing of diode laser beams: a simple mathematical-model［J］. Appl. Opt., 1990, 29(12): 1780～1785

[3] [3] Omar El Gawharyand, Sergio Severini. Lorentz beams and symmetry properties in paraxial optics［J］. J. Opt. A: Pure and Appl. Opt., 2006, 8(5): 409～414

[4] [4] Omar El Gawharyand, Sergio Severini. Lorentz beams as a basis for a new class of rectangularly symmetric optical fields［J］. Opt. Commun., 2007, 269(2): 274～284

[5] [5] Yang Jiong, Chen Tingting, Ding Guilin et al.. Focusing of diode laser beams: a partially coherent Lorentz model［C］. SPIE, 2008, 6824: 68240A

[6] [6] Lu Qunying, Chen Tingting, Ding Guilin et al.. Propagation properties of Lorentz beam passing through first-order axisymmetric optical systems［J］. Chinese J. Lasers, 2008, 35(4): 539～543

[7] [7] Guoquan Zhou. Nonparaxial propagation of a Lorentz-Gauss beam［J］. J. Opt. Soc. Am, B, 2009, 26(1): 141～147

[8] [8] Hong Yu, Linging Xiong, Baida Lü. Nonparaxial Lorentz and Lorentz-Gauss beams［J］. Optik, 2010, 121(16): 1455～1461

[9] [9] Guoquan Zhou, Xiuxiang Chu. Average intensity and spreading of a Lorentz-Gauss beam in turbulent atmosphere［J］. Opt. Express, 2010, 18(2): 726～731

[10] [10] Pu Zhou, Xiaolin Wang, Yangxing Ma et al.. Propagation properties of a Lorentz beam array［J］. Appl. Opt., 2010, 49(13): 2497～2503

[11] [11] Zhou Guoquan. Propagation of a Lorentz beam through an apertured misaligned paraxial optical system［J］. Acta Physica Sinica, 2010, 58(9): 6185～6191

[12] [12] Liang Yiping, He Huawei, Xiong Lingling et al.. A partial-coherence model describing the far-field distribution of laser diode［J］. Acta Optica Sinica, 2010, 30(8): 2180～2184

[13] [13] Deng Qinghua, Ding Lei, He Shaobo et al.. Evaluating specifications on coupled pump distribution in LDA side-pumped rod gain medium［J］. Chinese J. Lasers, 2010, 37(5): 1176～1181

[14] [14] Wen Du, Chengliang Zhao, Yangjian Cai. Propagation of Lorentz and Lorenzt-Gauss beams through an apertured fractional Fourier transform optical system［J］. Opt. Lasers Engng., 2011, 49(1): 25～31

[15] [15] M. J. Bastiaans, The Wigner distribution function applied to optical signals and systems［J］. Opt. Commun., 1978, 25(1): 26～30

[16] [16] Zhongyong Liu, Xiuying Wu, Dianyuan Fan. Collins formula in frequency-domain and fractional Fourier transforms［J］. Opt. Commun., 1998, 155(1-3): 7～11