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Group Velocity–Driven Inverse Metamaterial Design
We are concerned with controlling wave propagation in an elastic medium by engineering its dispersive properties. To this end, we discuss a flexible and systematic framework for designing the material composition of the unit cell of a periodic medium when given a target dispersion relation or, equivalently, a target group velocity profile at a user-defined frequency range. We cast the inverse medium design problem as a dispersion-constrained optimization problem that minimizes the distance between the target and the computed group velocity profiles. We rely on the Hellmann–Feynman theorem to obtain the computed group velocity of a trial unit cell, and use a gradient-based algorithm to drive the engineered medium’s material properties to convergence. We numerically demonstrate the capabilities of the approach using scalar waves in one and two dimensions. We also use the method to design metamaterials exhibiting user-defined omnidirectional band gaps and to provide numerical evidence of the metamaterial’s intended performance via time-domain simulations.
Group Velocity–Driven Inverse Metamaterial Design
We are concerned with controlling wave propagation in an elastic medium by engineering its dispersive properties. To this end, we discuss a flexible and systematic framework for designing the material composition of the unit cell of a periodic medium when given a target dispersion relation or, equivalently, a target group velocity profile at a user-defined frequency range. We cast the inverse medium design problem as a dispersion-constrained optimization problem that minimizes the distance between the target and the computed group velocity profiles. We rely on the Hellmann–Feynman theorem to obtain the computed group velocity of a trial unit cell, and use a gradient-based algorithm to drive the engineered medium’s material properties to convergence. We numerically demonstrate the capabilities of the approach using scalar waves in one and two dimensions. We also use the method to design metamaterials exhibiting user-defined omnidirectional band gaps and to provide numerical evidence of the metamaterial’s intended performance via time-domain simulations.
Group Velocity–Driven Inverse Metamaterial Design
Goh, Heedong (author) / Kallivokas, Loukas F. (author)
2019-09-19
Article (Journal)
Electronic Resource
Unknown
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