One might ask how accurate are the small-loss approximations leading to (48). We can give a quantitative answer by considering the knee of the curve in Fig. 4, and saying that we are in the small-losses case if the knee is lower than the lowest modal frequency of the resonator. Given a certain value of friction , we can find the best approximating IIR filter and then find its knee frequency , corresponding to a magnitude that is times the asymptotic value, with a small positive number. If such frequency is smaller than the lowest modal frequency we can take the small-losses assumption as valid and use the scheme of fig 3.

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