A derived sum rule shows the integrated extinction cross-section in causal acoustic scattering equals a quantity fixed by the scatterer's static effective mass and stiffness.
Martin, Acoustic scattering and “failure” of the optical theorem, The Journal of the Acoustical Society of America 156 (5) (2024) 3496–3501
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Acoustic Analogy of Quantum Baldin Sum Rule for Optimal Causal Scattering
A derived sum rule shows the integrated extinction cross-section in causal acoustic scattering equals a quantity fixed by the scatterer's static effective mass and stiffness.