Continuum models have proved their applicability to describe nanopatterns produced byion-beam sputtering of amorphous or amorphizable targets at low and medium energies.Here we pursue the recently introduced ‘hydrodynamic approach’ in the cases ofbombardment at normal incidence, or of oblique incidence onto rotating targets, known tolead to self-organized arrangements of nanodots. Our approach stresses the dynamical rolesof material (defect) transport at the target surface and of local redeposition. Byapplying results previously derived for arbitrary angles of incidence, we deriveeffective evolution equations for these geometries of incidence, which are thennumerically studied. Moreover, we show that within our model these equations areidentical (albeit with different coefficients) in both cases, provided surface tension isisotropic in the target. We thus account for the common dynamics for both typesof incidence conditions, namely formation of dots with short-range order andlong-wavelength disorder, and an intermediate coarsening of dot features thatimproves the local order of the patterns. We provide for the first time approximateanalytical predictions for the dependence of stationary dot features (amplitude andwavelength) on phenomenological parameters, that improve upon previous linearestimates. Finally, our theoretical results are discussed in terms of experimental data.
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