The analytical expressions for thermal noise, as calculated by Liu & Thorne and Levin, was plotted as a function of frequency in a log - log plot using Matlab.
The value of the parameters were used from Levin's paper on thermal noise.
phi = 1*10-7 (loss angle)
r0 = 1.56*10-2 (beam radius)
T = 300 K (temperature)
E0 = 7.18*1010 (Young's modulus)
sigma = 0.16 (Poisson ratio)
The value of Sx(100) that given in Levin's paper (8.7*10-40 m2 /Hz) while the Liu-Thorne value is 9.1*10-40 m2 /Hz.