A REVISED VERSION OF THE PROJECTED RANGE ALGORITHM WITH NUMERICAL-SOLUTIONS

In a previous paper a revised version of the Projected Range ALgorithm (PRAL) was presented. These new equations, called the Rent Range ALgo rithm (KRAL), consider fully the motion of the ion in three dimensions . In the current paper we review a simple derivation of the KRAL equat ions starting from the standard LSS integral equations for moments of the range distribution. The resulting 2(nd) order ordinary differentia l equations are difficult to solve using classical numerical technique s. We present a modified set of equations called the Kent Optimised Ra nge ALgorithm (KORAL) which is designed for iterative solution. Finall y, we compare results from KORAL and 1(st) and 2(nd) order PRAL codes with Monte Carlo data from a TRIM code modified to treat targets of in finite extent. Comparisons are performed using consistent nuclear and electronic energy loss models.