2003/12/03 by Kirk T. McDonald, McDonald, Kirk T.
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #physics.class-ph
paper · pdf · doi:10.48550/arxiv.physics/0312024
15 pages, 4 figures
arxiv created 2003/12/03 · arxiv updated 2009/12/01
We deduce a set of circularly polarized Gaussian laser beam modes via a separation-of-variables solution to the Helmholtz wave equation in oblate spheriodal coordinates. On transforming to cylindrical coordinates these become the well-known Gaussian-Laguerre modes.