This paper presents an analytical study and numerical simulations concerning the dynamic anisotropy of lattice systems in vector problems of elasticity. Connections are made with models of optics involving interaction of light with a small aperture and aberration effects. Special attention is given to standing waves possessing directional localization of different kinds. We analyze a special class of waveforms corresponding to saddle points on the dispersion surfaces. Furthermore, a modeling algorithm is developed to design a structured slab of finite thickness, which possesses focusing properties for waves within a certain frequency range.
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Colquitt et al. (2011) studied this question.
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