The virtual source for generation of rotational symmetric Lorentz-Gaussian (RLG) wave whose propagating dynamics present the rotational symmetry is identified. Closed-form expressions, including integral and differential representations, are derived for this kind of Lorentz-Gaussian (LG) wave, thereby yielding paraxial approximation of the RLG beam in the appropriate regime. From the spectral representation of this wave, the first three order corrections of nonparaxial approximations are determined for a corresponding paraxial RLG beam. Moreover, the relationship between the RLG beam and the Hermite-Gaussian beam is revealed.
© 2012 Chinese Optics Letters
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation
Qiongge Sun, Ailan Li, Keya Zhou, Zhengjun Liu, Guangyu Fang, and Shutian Liu, "Virtual source for rotational symmetric Lorentz-Gaussian beam," Chin. Opt. Lett. 10, 062601- (2012)