Structure and Orbital Angular Momentum of Singular Array of Gaussian Beams

We consider theoretically and experimentally the structure and the orbital angular momentum (OAM) of the beam array consisting of aggregate of coherent fundamental Gaussian beams, whose axes are located on the surface of hyperboloid of revolution. An intrinsic characteristic of such the beam system is its OAM that cannot be eliminated by whatever transformations of the reference frame. This construction of the array enables one to change the OAM from zero up to very large values.