Truncated optical Bessel modes

An orthonormal set of optical vortex modes is put forward and identified as the polarized truncated optical Bessel (TOB) set, which is endowed with orbital as well as spin angular momentum. Members of this set of modes can be realized once a circular aperture of radius R is placed centrally in the path of an optical Bessel beam of winding number ℓ. For a fixed power input P, the properties of the TOB set, namely, its helicity, energy, linear momentum, and spin and orbital angular momenta, are evaluated, and their main features are explored. The similarities and differences between the properties of the TOB mode set and those of the Laguerre-Gaussian set are pointed out and discussed.