The process of obtaining Q?1 leak and Q?1 loss. The resonant angular frequencies ωA and ωB are obtained from the Frequency-domain simulations by the commercial software COMSOL Multiphysics with the preset “Pressure Acoustics, Frequency Domain” module. In the simulations, the domain material is air (the static air density, ρ = 1.21 kg/m3 , the sound speed, c = 343 m/s, the dynamic viscosity of air, μ = 1.81×10?5 N·S/m2 , the preset environmental temperature, T = 293.15K (20 ?C)). We perform two simulations to separately calculate the reflection curve (r) of individual cavity A and cavity B and extract ωA, ωB and the corresponding r0. The radiative decay rates γA and γB are obtained from the Eigen-frequency simulations with the same setup with the one obtaining ωA and ωB, except that now the thermal-viscous losses are neglected. The eigenfrequency of the target mode has a real part close to the resonant frequency and a small imaginary part, which can be expressed as (ω′ A(B) + i · γ′ A(B))/(2π). In Eigen-frequency simulations, due to the absence of the thermal-viscous losses, the resonant angular frequencies are slightly higher than the ones in practical systems, so there is a revision made by γA(B)/ωA(B) = γ′ A(B)/ω′ A(B). Then, we can obtain that Q?1 leakA(B) = 2γA(B)/ωA(B). (S1) Furthermore, based on Eq. (8), Eq. (S1) and the simulated results of r0, we can calculate Q?1 lossA and Q?1 lossB, where Q?1 lossA and Q?1 lossB are approximate to each other when the two cavities have the same cross-section. With a similar process performed on the coupled system, Q?1 leak and Q?1 loss of the whole system can be obtained.

第四章第四季補充文獻(xiàn)_1_9_translate.pdf

F是如何計算出來的。