  A gravitational resonant bar detector with a large scale Fabry-Perot cavity
as an optical read out and a mechanical displacement transformer is considered.
We calculate, in a fully analytical way, the final receiver bandwidth in which
the potential sensitivity, limited only by the bar thermal noise, is maintained
despite the additional thermal noise of the transformer and the additive noise
of the optical readout. We discuss also an application to the OGRAN project,
where the bar is instrumented with a 2m long FP cavity.
