The analytical structure of acoustic and elastic material properties

DOI10.1016/j.wavemoti.2021.102837OpenAlexW3208216046MaRDI QIDQ2124093

Ankit Srivastava, Hossein Khodavirdi

Publication date: 14 April 2022

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11074

zbMATH Keywords

passivitycausalityHerglotz functionsmetamaterialsWillis tensor

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Optics, electromagnetic theory (78-XX)

Cites Work

• Overall constitutive description of symmetric layered media based on scattering of oblique SH waves
• Linear dissipative systems, nonnegative definite distributional kernels, and the boundary values of bounded-real and positive-real matrices
• Sum rules and constraints on passive systems
• Causality and dispersion relations for fixed momentum transfer
• Dispersion relations for linear wave propagation in homogeneous and inhomogeneous media
• The Poisson integral for functions with positive real part
• Dispersive body waves
• Bounds on Herglotz functions and fundamental limits of broadband passive quasistatic cloaking
• Causality and passivity in elastodynamics
• Reciprocity, passivity and causality in Willis materials
• A Characterization of the Inverse Laplace Transforms of Rational Positive-Real Matrices
• Necessary and Sufficient Conditions for a Matrix Distribution to Have a Positive-Real Laplace Transform
• On Fourier-Stieltjes Integrals
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