Invariant integral and statistical equations of paraxial light beam transmission in free space

Science China Mathematics - Tập 40 - Trang 546-554 - 1997
Ximing Deng1,2, Hong Guo1,2, Qing Cao2
1Institute of Quantum Electronics, South China Normal University, Guangzhou, China
2National Laboratory on High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China

Tóm tắt

The statistical behavior of arbitrary paraxial light beams propagating in free space is investigated by using the Hermite-Gaussian expansion method and Fock’s representation. A series of equivalent Gaussian parameters for paraxial beam and the statistical equations for these parameters are presented. The optical transmission problem in quasi-far field region is studied. The so-called general Hermite-Gaussian beam is defined.

Tài liệu tham khảo

Deng Ximing, Ding Liming, Ye Chenchun, Generalization of ABCD law,Chin. J. Lasers (in Chinese), 1990, 17(5): 257. Nlanger, P. A., Beam propagation and the ABCD ray matrices,Opt. Lett., 1991, 16(4): 196. Siegman, A. E.,Lasers, California: University Science, Mill Valley, 1986, 1. Siegman, A. E., Defining the effective radius of curvature for a nonideal optical beam,IEEE J. Quantum Electronics, 1991, 27(5): 1146. Cao Qing, Guo Hong, Deng Ximing, The conservation of energy in cross-section and the energy diffraction spread of light,Acla Optica (in Chinese), 1996, 16(4): 389.