Abstract

By means of the vector angular spectrum representation method and mathematical techniques, the analytical vectorial structure of the controllable dark-hollow beam (CDHB) close to the source is derived without any approximation. Analytical expressions of the energy flux for the TE term, the TM term, and the CDHB are presented in the source region, respectively. Energy flux distributions of the TE term, the TM term, and the CDHB close to the source are illustrated with numerical examples. The influences of the beam parameters on energy flux distributions are analyzed, and the dependence of the area of the central dark region for a CDHB on the three beam parameters is also discussed.

© 2009 Optical Society of America

Analytical vectorial structure of controllable dark-hollow beams in the far field

Guoquan Zhou
J. Opt. Soc. Am. A 26(7) 1654-1660 (2009)

Non-paraxial investigation in the far field properties of controllable dark-hollow beams diffracted by a circular aperture

Guoquan Zhou
J. Opt. Soc. Am. A 27(4) 890-894 (2010)

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 an apertured Gaussian beam in the far field: an accurate method

Guoquan Zhou
J. Opt. Soc. Am. A 27(8) 1750-1755 (2010)

Analytical vectorial structure of hollow Gaussian beams in the far field

Guohua Wu, Qihong Lou, and Jun Zhou
Opt. Express 16(9) 6417-6424 (2008)