Abstract
Polarization and spatial phase are independent characteristics for the linearly-polarized plane light wave. These characteristics can be coupled when the light field has an inhomogeneous polarization state in space and time. Inhomogeneous polarization appears in the vector beam. The polarization-phase coupling takes place by introducing the orbital angular momentum to the vector beam. In this paper, the polarization-phase coupling in the vector orbital angular momentum beam has been examined. The polarization-phase coupling induces Laguerre-Gaussian modes with different orders, and the resultant electric field is a superposition of induced Laguerre-Gaussian modes. The analytical expressions for the resultant electric fields have been derived under the paraxial approximation and confirmed by numerical calculation.
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