Open Access

Table A1

Dimensions of two acoustically regular resonators with different first impedance peak and theoretical global cutoff frequencies. Both resonators have an apex angle θ = 0.028 rad and input radius a in = 6.25 mm. The distance from the input to the nth hole is denoted w n  = r n  − x 1, where x 1 is determined from the the apex angle and input radius.

Resonator 1: f 1 = 177 Hz,  = 750 Hz
Hole n w n (mm) a n (mm) b n (mm) h n (mm)
1 712.9 26.2 10.5 13.2
2 744.5 27.1 12.3 15.4
3 779.4 28.1 14.4 17.0
4 818.0 29.2 16.5 17.9
5 860.6 30.4 18.9 18.0
6 907.7 31.7 21.5 17.4
7 959.7 33.1 24.3 15.8
8 1017.3 34.7 27.4 13.2
9 1080.9 36.5 30.8 9.6
10 1151.2 38.5 34.6 4.8
end 1188.0 395.2

Resonator 2: f 1 = 304 Hz,  = 1000 Hz
1 355.7 15.6 6.2 14.9
2 376.7 16.2 7.2 16.3
3 400.0 16.8 8.2 17.2
4 425.7 17.5 9.3 17.8
5 454.1 18.3 10.6 17.8
6 485.5 19.1 11.9 17.4
7 520.3 20.1 13.4 16.4
8 558.6 21.1 15.0 14.8
9 601.0 22.2 16.8 12.7
10 647.9 23.5 18.8 9.9
end 672.5 24.2

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