Abstract

I use the angular spectrum representation to compute exactly the Gaussian beam close to the waist $\left(w_0\right)$ in the case of a highly nonparaxial field $(w_0<\lambda )$. The computation is done in the vectorial case for a polarized Gaussian beam. In the area of the waist, the contribution of the propagating and evanescent waves is discussed. Moreover, the Gaussian wave is developed in terms of a series, which permits one to get analytical expressions for both propagating and evanescent waves when the observation is close to the waist.

© 2006 Optical Society of America

The analytical vectorial structure of a nonparaxial Gaussian beam close to the source

Guoquan Zhou
Opt. Express 16(6) 3504-3514 (2008)

Vectorial structure of nonparaxial electromagnetic beams

Rosario Martnez-Herrero, Pedro M. Mejas, Salvador Bosch, and Arturo Carnicer
J. Opt. Soc. Am. A 18(7) 1678-1680 (2001)

Partially coherent vectorial nonparaxial beams

Kailiang Duan and Baida Lü
J. Opt. Soc. Am. A 21(10) 1924-1932 (2004)

Vectorial nonparaxial propagation equation of elliptical Gaussian beams in the presence of a rectangular aperture

Kailiang Duan and Baida Lü
J. Opt. Soc. Am. A 21(9) 1613-1620 (2004)

Polarization properties of vectorial nonparaxial Gaussian beams in the far field

Kailiang Duan and Baida Lü
Opt. Lett. 30(3) 308-310 (2005)