The impedance matrix for the voltage divider circuit is,
2.
Likewise, each entry of the impedance matrix can consist of the sum of three elements.
3.
The characteristic modes of any structure can be solved by first calculating the impedance matrix of a structure.
4.
The impedance matrix representation of a transducer transforms force in the mechanical domain into current in the electrical domain.
5.
Once the impedance matrix is solved, the characteristic modes for the scatterer can be solved through the weighted eigenvalue equation:
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This is most commonly done by solving for the impedance matrix of the scatter, referred to as the Z matrix, using the boundary element method.
7.
Next, by applying adiabatic boundary conditions at the lateral walls and fix temperature at the bottom ( heat sink temperature ), thermal impedance matrix equation is derived:
8.
Using this definition, the voltages present at the feedpoints of a set of coupled antennas can be expressed as the multiplication of the impedance matrix times the vector of currents.
9.
This last result gives access to the generalised responses as a result of the generalised applied forces \ mathbf \ tilde { f }, namely by inverting the primally assembled impedance matrix.
10.
Where, \ mathbf { F } is the force vector, \ mathbf { v } is the velocity vector, \ mathbf { Z } is the impedance matrix and \ omega is the angular frequency.
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