The resonator problem in a spherical GW detector

This paper is a brief summary of the most relevant features of the solution to the general problem of the coupled motion of a set of resonant transducers and a solid sphere when acted upon by a GW excitation, as recently investigated by us. A remarkably elegant theory emerges our of the analysis, which fully displays the system dynamics for arbitrary resonator configurations. The power of the method can be used to consider alternative layouts to the TIGA proposal, the virtues and/or drawbacks of which can then be assessed. A specific new resonator distribution will be presented which takes advantage of the significant cross section of a spherical GW detector at its second quadrupole resonance and which is also useful for eventual monopole radiation sensing.