Realizable response matrices of multiterminal electrical, acoustic, and elastodynamic networks at a given frequency

Details Realizable response matrices of multiterminal electrical, acoustic, and elastodynamic networks at a given frequency Realizable response matrices of multiterminal electrical, acoustic, and elastodynamic networks at a given frequency

2007-12-07

arxiv.org/abs/0712.1066v1

Physics

Condensed Matter

Materials Science

22 pages, 5 figures

Scientific paper

10.1098/rspa.2007.0345

We give a complete characterization of the possible response matrices at a fixed frequency of n-terminal electrical networks of inductors, capacitors, resistors and grounds, and of n-terminal discrete linear elastodynamic networks of springs and point masses, both in the three-dimensional case and in the two-dimensional case. Specifically we construct networks which realize any response matrix which is compatible with the known symmetry properties and thermodynamic constraints of response matrices. Due to a mathematical equivalence we also obtain a characterization of the response matrices of discrete acoustic networks.

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