  A new ocean wave/sea-ice interaction model is proposed that simulates how a
directional wave spectrum evolves as it travels through an arbitrary finite
array of circular ice floes, where wave/ice dynamics are entirely governed by
wave scattering effects. The model is applied to characterise the wave
reflection and transmission properties of a strip of ice floes, such as an ice
edge band. A method is devised to extract the reflected and transmitted
directional wave spectra produced by the array. The method builds upon an
integral mapping from polar to Cartesian coordinates of the scattered wave
components. Sensitivity tests are conducted for a row of floes randomly
perturbed from a regular arrangement. Results for random arrays are generated
using ensemble averaging. A realistic ice edge band is then reconstructed from
field experiments data. Simulations show a good qualitative agreement with the
data in terms of transmitted wave energy and directional spreading. In
particular, it is observed that short waves become isotropic quickly after
penetrating the ice field.
