The transfer function and Brownian noise of the gravitational antenna

An equivalent circuit of the gravitational antenna was used to calculate the transfer function that relates the outlet tension to applied force. Brownian noise and Johnson noise were then considered. Several noise calculating methods, based on different physical hypothesis and with various precision levels, are discussed. Results show that noise inlet spectra can be classified into two categories, pseudo-Brownian resonant noise and white or pink Large band noise, depending on the spectral density distribution.