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In this paper we simulated self- and mutual- acoustic impedances of guidedmodes at the aperture and estimated accuracy of the piston radiationapproximation. We used the Rayleigh integral to simulate the interactionsbetween different guided modes at the aperture, with low time-consuming. Thiskind of guided-wave technique can be utilized to solve problems in diversefields of wave science such as acoustics, electromagnetism and optics. Foracoustic waves emitted through a horn or a waveguide with an aperture muchsmaller than the wavelength, there are only plane wave modes in the waveguideand the aperture of horn can therefore be considered as a piston radiator.However if an acoustic wave with high frequency such as ultrasonic wave isradiated, there can exist several guided modes in the duct. For arbitrary shapeand size of waveguide, interactions between different modes must be taken intoaccount to evaluate sound field in the duct and total acoustic power from itsaperture. In this paper we simulated self- and mutual- acoustic impedances ofguided modes at the aperture and estimated accuracy of the piston radiationapproximation. We used the Rayleigh integral to simulate the interactionsbetween different guided modes at the aperture, with low time-consuming. Thiskind of guided-wave technique can be utilized to solve problems in diversefields of wave science such as acoustics, electromagnetism and optics.

Study on acoustic radiation impedance at aperture of a waveguide with  circular cross section taking account of interaction between different guided  modes