Coupled-mode theory for stationary and nonstationary resonant sound propagation.

التفاصيل البيبلوغرافية
العنوان: Coupled-mode theory for stationary and nonstationary resonant sound propagation.
المؤلفون: Koutserimpas, Theodoros T.1 (AUTHOR), Fleury, Romain1 (AUTHOR) romain.fleury@epfl.ch
المصدر: Wave Motion. Jun2019, Vol. 89, p221-231. 11p.
مصطلحات موضوعية: *ACOUSTIC wave propagation, *ACOUSTICS, *THERMOELASTICITY, *STANDING waves, *TRANSMISSION of sound, *SOUND waves
مستخلص: In this paper, we present a complete analytical derivation of the equations used for stationary and nonstationary wave systems regarding resonant sound transmission and reflection described by the phenomenological coupled-mode theory. We calculate the propagating and coupling parameters used in coupled-mode theory directly by utilizing the generalized eigenwave-eigenvalue problem from the Hamiltonian of the sound wave equations for the problem of a one-dimensional isolated on-channel resonance. This Hamiltonian formalization could be beneficial and could potentially model and parameterize a broad range of acoustic wave phenomena. We demonstrate how to use this theory as a basis for perturbation analysis of complex resonant scattering scenarios. In particular, we form the effective Hamiltonian and coupled-mode parameters for the study of sound resonators with background moving media. Finally, we provide a comparison between coupled-mode theory and full-wave numerical examples, which validate the Hamiltonian approach as a relevant model to compute the scattering characteristics of waves by complex resonant systems. • Coupled-mode equations for stationary and nonstationary resonant sound systems. • Hamiltonian method approach for couple-mode theory parameters. • Perturbation analysis applied to the Hamiltonian of a nonstationary wave system. • Examples presented for stationary and nonstationary sound resonant problems. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:01652125
DOI:10.1016/j.wavemoti.2019.03.011