  Optical beams are solutions to the paraxial wave equation (PWE). In this work
we report a new, to our knowledge, optical beam. We solve the PWE by using the
angular spectrum of plane waves theory in circular cylindrical coordinates.
This lead us to solutions expressed in integral form that can be evaluated in
closed-form for half-integer order Bessel functions. We show how to implement
numerical simulation and how these results are confirmed by experiment. We
believe this approach facilitates the analysis and synthesis of generic optical
beams.
