Based on the vectorial Raleigh–Sommerfeld diffraction integral, the nonparaxial propagation of vectorial hollow Gaussian beams (HGBs) in free space is studied. The far-field and paraxial cases can be treated as special cases of our general results. The typical numerical examples are given to illustrate our analytical results and comparisons between the different approximations present that the f parameter still plays an important role in determining the nonparaxiality of vectorial diffracted HGBs.
© 2008 Optical Society of America
Diffraction and Gratings
Original Manuscript: July 12, 2007
Revised Manuscript: October 22, 2007
Manuscript Accepted: October 22, 2007
Published: December 21, 2007
Degang Deng, Hua Yu, Shiqing Xu, Guanglei Tian, and Zhengxiu Fan, "Nonparaxial propagation of vectorial hollow Gaussian beams," J. Opt. Soc. Am. B 25, 83-87 (2008)