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

Invariant integral and statistical equations of paraxial light beam transmission in free space
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE 1997年第5期546-554,共9页 中国科学:数学(英文版)
基金 Project partly supported by the National Hi-tech Inertial Confinement Fusion Committee,the Natural Science Foundation of Guangdong Province,the Postdoctoral Foundation of China and Guangdong Province.
关键词 optical TRANSMISSION equivalent GAUSSIAN beam Hermite-Gaussian expansion Fock’s representa-tion statistical equations. optical transmission, equivalent Gaussian beam, Hermite-Gaussian expansion, Fock's representa-tion, statistical equations.
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