  Recently, stripe phases in spin-orbit coupled Bose-Einstein condensates
(BECs) have attracted much attention since they are identified as supersolid
phases. In this paper, we exploit experimentally reachable parameters and show
theoretically that annular stripe phases with large stripe spacing and high
stripe contrast can be achieved in spin-orbital-angular-momentum coupled
(SOAMC) BECs. In addition to using Gross-Pitaevskii numerical simulations, we
develop a variational ansatz that captures the essential interaction effects to
first order, which are not present in the ansatz employed in previous
literature. Our work should open the possibility toward directly observing
stripe phases in SOAMC BECs in experiments.
