Analytical vectorial structure of a Laguerre-Gaussian beam in the near field

The description of a Laguerre-Gaussian beam is directly derived from the Maxwell’s equations. According to the vector spectrum representation of the Maxwell’s equations and the vectorial structure of an electromagnetic beam, the analytical TE and TM terms of a Laguerre-Gaussian beam in the near field are presented by means of some mathematical techniques. The light intensity distributions of a Laguerre-Gaussian beam, the TE term and the TM term are depicted in the near field, respectively. The vectorial structures of Laguerre-Gaussian beams are compared. The Laguerre-Gaussian beams, whose dependences on angle are respectively cosine and sine, have thoroughly alike whole beam spots with the only difference of spatial orientation of the sub lobes. However, their vectorial structure is dist