Partial reflection of linearly polarized Laguerre–Gaussian beams incident at a dielectric interface are studied beyond the paraxial regime. Based on the angular spectrum method and Taylor series expansion, we derive exact analytical expressions for the reflected electric field. This result holds in both the paraxial and nonparaxial regimes. The result is then extended to beams of arbitrary polarization and used to analytically calculate the transverse and longitudinal shifts of the beams’ center of gravity. Finally, several numerical examples are performed to verify the analytical formulas we derived near the Brewster angle.
© 2013 Optical Society of America
Original Manuscript: August 20, 2013
Revised Manuscript: October 21, 2013
Manuscript Accepted: October 21, 2013
Published: November 15, 2013
Jun Ou, Yuesong Jiang, Jiahua Zhang, and Yuntao He, "Reflection of Laguerre–Gaussian beams carrying orbital angular momentum: a full Taylor expanded solution," J. Opt. Soc. Am. A 30, 2561-2571 (2013)