Analytical structure of the TE and TM terms of paraxial Gaussian beam in the near field

The description of paraxial Gaussian beam is directly started from the Maxwell’s equations. According to the vector plane wave spectrum representation of Maxwell’s equations and the vectorial structure of electromagnetic beam, the analytical TE and TM terms of paraxial Gaussian beam are presented by means of mathematical techniques in the near field. The influence of linearly polarized angle on the components of the TE and TM terms is investigated. The structural light intensities are depicted in the near field. As the vectorial structures are not orthogonal in the near field, there is a crossed light intensity in the paraxial Gaussian beam. This research reveals the abundant internal structure of paraxial Gaussian beam in the near field.