The propagation of complex-argument Laguerre-Gaussian beams

The propagation of complex-argument Laguerre-Gaussian (L-G) beams passing t hrough a paraxial optical ABCD system for both unapertured and apertured ca ses has been studied in detail. The analytical propagation expressions for unapertured case have been derived based on the generalized Huygens-Fresnel diffraction integral, which enable us to calculate the field distribution from one plane to another. For the apertured case numerical calculations ar e still available. Numerical examples are given to illustrate the propagati on properties of complex-argument L-G beams.