Abstract

The analytical propagation equation of a nonparaxial Lorentz–Gauss beam in free space is derived on the basis of vectorial Rayleigh–Sommerfeld integral formulae. As special cases of the general formulae, the far-field expression and the scalar paraxial result are also presented. According to the obtained analytical representation, the nonparaxial propagation properties of a Lorentz–Gauss beam in free space are illustrated and analyzed with numerical examples. This research provides an approach to investigate the propagation of a Lorentz–Gauss beam beyond the paraxial approximation.

© 2008 Optical Society of America

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