>The linearized PSD plots are created for the case of thermal noise in finite test mass (Sec. V) of Liu and Thorne.
S = 8*kb*T*phi*(U0 + delta_U)/omega
>The maximum energy due to stress is considered by an infinite sum here. A comparison has been made regarding the convergence of the sum.
>The two plots correspond to the cases of considering 10 and 100 terms in the sum respectively.
>The plot shows that the difference is not much and hence convergence is fast.
>The relative difference is plotted w.r.t S_100, the PSD considering 100 terms in the sum.
>The relative difference goes like abs(S_100 - S_10)/S_100, where 10 and 100 represent the number of terms considered in the sum.
>The algorithm used to evaluate the sum involving Bessel functions was the one by GWINC. (http://nodus.ligo.caltech.edu:8080/COMSOL/10). |