Theoretical framework expands phononic crystals to include anisotropic elasticity and PT-symmetry, revealing new properties.
In the present paper, the theory of phononic crystals is generalized to the case of periodic media with anisotropic elastic properties, as well as to the PT-symmetric structures with gain and loss. An operator form of the equation for a stationary elastic wave in a crystal is proposed. A generalized condition of PT symmetry for systems with anisotropic elastic properties is obtained.
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Yashkin et al. (2026) studied this question.
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