We present an analysis of the combined effects of tilt and lateral displacement on the orbital angular momentum spectrum of a laser beam. Our theory explains the symmetries and properties of the spectrum under the influence of misalignments. We apply the theory to establish a reliable and efficient method for determining and subsequently eliminating tilt and lateral displacement. An improved technique for obtaining the orbital angular momentum spectrum employing Laguerre–Gaussian modes is proposed. Finally, a numerical experiment is carried out to verify the method.
© 2010 Optical Society of America
Diffraction and Gratings
Original Manuscript: July 15, 2010
Revised Manuscript: September 2, 2010
Manuscript Accepted: September 3, 2010
Published: September 29, 2010
J. Lin, X.-C. Yuan, Mingzhou Chen, and J. C. Dainty, "Application of orbital angular momentum to simultaneous determination of tilt and lateral displacement of a misaligned laser beam," J. Opt. Soc. Am. A 27, 2337-2343 (2010)