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The best "mass air mass" soundproof assembly seems to have 2 panels. Sometimes you want more panels, for example, to better heat insulate a window. Then you get the "triple leaf" effect that reduces soundproofing.

Problem 1:

You have to soundproof a square opening.

  • Opening area = 1 m^2
  • Depth = 10 cm
  • You must use 3 reflective panels.
  • Total panel mass = 10 kg

How do you space the panels and distribute their mass? How does the answer change when there are more panels?

Problem 2:

It's the same as Problem 1, but you get 10 kg of absorptive material. How do you distribute it?

There's also the coincidence effect to consider.

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