计及不同导模间相互作用的圆截面波导开口处声辐射阻抗研究
Study on acoustic radiation impedance at aperture of a waveguide with circular cross section taking account of interaction between different guided modes
摘要：
在本文中，我们模拟了导模在孔径处的自声阻抗和互声阻抗，并估计了活塞辐射近似的精度。我们采用瑞利积分来模拟不同导模在孔径处的相互作用，计算时间较短。这种导波技术可以用来解决声学、电磁学和光学等波动科学的各个领域的问题。对于通过喇叭或具有远小于波长的孔径的波导发射的声波，波导中仅存在平面波模式，因此喇叭的孔径可以被认为是活塞辐射器。然而，如果辐射具有高频的声波，例如超声波，则在管道中可以存在多个导模。对于任意形状和尺寸的波导，在计算管道内的声场和开口处的总声功率时，必须考虑不同模态之间的相互作用。在本文中，我们模拟了导模在孔径处的自声阻抗和互声阻抗，并估计了活塞辐射近似的精度。我们采用瑞利积分来模拟不同导模在孔径处的相互作用，计算时间较短。这种导波技术可以用来解决声学、电磁学和光学等波动科学的各个领域的问题。
英文摘要：
In this paper we simulated self- and mutual- acoustic impedances of guided modes at the aperture and estimated accuracy of the piston radiation approximation. We used the Rayleigh integral to simulate the interactions between different guided modes at the aperture, with low time-consuming. This kind of guided-wave technique can be utilized to solve problems in diverse fields of wave science such as acoustics, electromagnetism and optics. For acoustic waves emitted through a horn or a waveguide with an aperture much smaller than the wavelength, there are only plane wave modes in the waveguide and the aperture of horn can therefore be considered as a piston radiator. However if an acoustic wave with high frequency such as ultrasonic wave is radiated, there can exist several guided modes in the duct. For arbitrary shape and size of waveguide, interactions between different modes must be taken into account to evaluate sound field in the duct and total acoustic power from its aperture. In this paper we simulated self- and mutual- acoustic impedances of guided modes at the aperture and estimated accuracy of the piston radiation approximation. We used the Rayleigh integral to simulate the interactions between different guided modes at the aperture, with low time-consuming. This kind of guided-wave technique can be utilized to solve problems in diverse fields of wave science such as acoustics, electromagnetism and optics.
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