Linearly polarized anisotropic Gaussian light wave

A method is developed for deducing the required source in the complex space for the full-wave generalization of a specified paraxial beam. This method is applicable to all paraxial beams. However, the details of the method are presented for the anisotropic Gaussian beam. The required source in the complex space for the anisotropic Gaussian beam is a line source with a Gaussian distribution. An expression is derived for the anisotropic Gaussian full wave, which in the appropriate limit reproduces the anisotropic Gaussian paraxial beam. The radiation intensity of the anisotropic Gaussian light wave is determined; its characteristics are analyzed and compared with those of the limiting case of the anisotropic Gaussian paraxial beam.