The conversion between scalar and vector LG beams. (a) Azimuthally and (b) radially polarized beams. and in the parentheses for linearly polarized HG beams indicate the polarization direction. and l in the parentheses for circularly polarized LG beams indicate right- and left-hand polarizations, respectively. HG: Hermite-Gaussian beam, LG: Laguerre-Gaussian beam.