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Metamaterial fascinate the noise control engineers because of their unusual effective properties that allow them to control, manipulate and guide the acoustic wave. It attains such properties because of its shape, periodic arrangements, rather than the properties of base material. The effective compressibility and effective mass density are two such properties which helps to evaluate the performance of any metamaterial. In general, the scattering parameters are used to estimate aforementioned effective metamaterial properties. The present work aims to extract scattering parameters from transfer matrix parameters using an acoustic transmission loss tube. For such activity, a branched Helmholtz Resonator mounted on a duct of square cress-sectional area has been taken for investigation. To start with, the analytical modelling has been carried out to estimate the effective properties of afore said Helmholtz resonator, which agree to lumped-mass element model. Subsequently, the numerical simulation has been carried out to estimate the transfer matrix by simulating ASTM E2611 measurement technique. The effective properties estimated from numerically extracted scattering parameters agree to analytical result adequately. At last, to justify the proposed method, an experiment has been carried out. The effective acoustic properties measured experimentally justify the adequateness of analytical and numerical modelling.
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