The polarization state of a light beam is related ta its spin angular momen
tum and can be represented on the Poincare sphere. We propose a sphere for
light beams in analogous orbital angular momentum states. Using the Poincar
e-sphere equivalent, we interpret the rotational frequency shift for light
beams with orbital angular momentum [Phys. Rev. Lett. 80, 3217 (1998)] as a
dynamically evolving geometric phase. (C) 1999 Optical Society of America.