(See Plots in attached document)
My plan has been to replicate Duan's numerical thermoconductive (TE + TR) phase noise plot presented in his paper (section V). I am trying to match Duan's analytical expression with Heinert's analytical expression. This requires some rescaling of Heinert's TR displacement noise. (I also needed to divide Heinert's expression by 4 pi to match the Fourier Transform convention. ) Duan's analytical expression for the phase noise is obtained by evaluating the triple integral given in equation 13 of the Duan paper "General Treatment of Thermal Noise in Optical Fibers".