An intense slow positron beam using a 15 MeV LINAC (average current 1.25 x 10(15) e(-)/s) at the Radiation and Photochemistry Group, Chemistry Division of Argonne National Laboratory (ANL) has been proposed and studied. Computer simulated results optimizing the positron yield and distribution of energy and angle show that a slow positron production at 1010 e(+)/s is possible. A proposed design of an intense slow positron beam with optimal conditions of incident electron, converter/moderator configurations, and extraction/transportation is presented. (c) 2005 Elsevier B.V. All rights reserved.