Abstract
The Helmholtz and Maxwell equations describing fields of the beam type are solved. The energy streamlines in a vector beam coincide with the generatrices of an unparted hyper-boloid of revolution and are twisted. The angular momentum of a monochromatic electromagnetic field in coordinate space naturally splits into “orbital” and “spin” parts. The orbital angular momentum is perpendicular to the Poynting vector, and the spin part is parallel to it. Each beam m is characterized by a definite projection of the angular momentum on the z axis and is localized near a corresponding hyperboloid ηm.
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