Abstract
Abstract Earlier studies on the propagation of surface gradient discontinuities (edges) during ion-bombardment-induced sputtering erosion are developed to allow prediction of the temporal evolution of the gradients which bound such edges. Analytical expressions for such evolution are obtained and it is shown that, in the limit of vanishing gradient discontinuity, the results relax to earlier prediction of surface evolution along characteristic trajectories. In this way a complete analytical description of evolution of surface topography has been secured.
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