Abstract

Approximation models based on a finite sum of Bessel functions of the first kind and a pair of simple rational transfer functions, are proposed for radiation resistance and reactance of a square piston source mounted on an infinite planar baffle. Model accuracy is better than 1.6% for reactance and 0.5% for resistance within a very wide range of dimensionless frequency kvS (0.1 to 100). The very low and high frequency behaviors of radiation impedance are incorporated into the models' closed-form expressions so that the approximation error outside the specified frequency range tends to zero.

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