How a porous panel actually absorbs sound
The Delany-Bazley-Miki model in plain English
Porous absorbers (fibreglass, mineral wool, open-cell foam) convert sound energy into heat via viscous friction as air molecules push through the fibres. The efficiency depends on one number: flow resistivity, measured in Pa·s/m². Too low and the air slides through without losses. Too high and the panel reflects like a wall. Sweet spot: 5,000-30,000 Pa·s/m².
The calculator runs the Delany-Bazley-Miki empirical model. It computes the complex propagation constant and characteristic impedance at every frequency, transfers them through the panel and air gap to get the surface impedance, then the absorption coefficient.
The Miki part matters. The original 1970 Delany-Bazley regression is the one most calculators still use, and below its published validity floor it returns a surface impedance whose real part goes negative - a passive slab of fibreglass apparently generating energy. For OC 703 that floor is 165 Hz, so any tool plotting plain Delany-Bazley into the bass is reporting numbers the model cannot support. Miki's 1990 revision keeps the same form with corrected coefficients chosen to stay physical down there, which is why the curve here is drawn from it.
Thickness moves the low end, air gap moves it further
A porous panel only starts absorbing where its thickness equals roughly a quarter wavelength of the sound. At 500 Hz a quarter wavelength is 17 cm - so a 5 cm panel is well past its low-end limit. At 100 Hz it's 86 cm; three feet of fibreglass for a single octave.
The air-gap trick: mounting the same panel a few inches off the wall puts an empty chamber behind it. The panel sits where particle velocity is highest (the absorber needs velocity, not pressure), shifting the effective absorption an octave or more lower. A 5 cm panel with a 10 cm gap absorbs nearly as well at 200 Hz as a 15 cm slab on the wall would - and the gap is free.
