relations are considered to be suppressed by the Planck scale but [@CPSUV04], [@CPS06] indicated the possibility of their enhancement when the renormalization is taken into an account in Lorentz symmetry breaking models.

Sensitivity of one-arm interferometer {#s:4}
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Integration of the right hand side Eq. (\[eq:tof\_T2a\]) for the scalar monochromatic $p$–polarized wave ${\rm h}(t.{\bf x})=h_{p}^{0}\,e^{i\,\omega(t - \frac{{{\boldsymbol \Omega}}\cdot{\bf x}}{{\rm v}})}$ ($p=sl,st$) leads to the following result for the time–dependent part of the time of flight: $$\begin{aligned}
\label{eq:sED1}
s_{ED}(t) & \equiv & \frac{\Delta\tau_{ED}(t)}{T} = F^{p}({\bf n}_{ED})\,{\cal T}(x;c_{ED})\,{\rm h}(t,{\bf x}_{D}),\end{aligned}$$ where $c_{ED}\equiv\frac{{{\boldsymbol \Omega}}\cdot{\bf n}_{ED}}{{\rm v}}$, $x\equiv L\,\omega$, $F^{p}({\bf n}_{ED}):=\frac{1}{2}{\bf n}_{ED}\otimes{\bf n}_{ED}:{{\boldsymbol \epsilon}}^{p}$ is the (one–arm) antenna pattern function and ${\cal T}(x;c_{ED})\equiv{\text{sinc}}\left[ \frac{x(1-c_{ED})}{2} \right]\,e^{-i\frac{x(1-c_{ED})}{2}}$ is the frequency response of the (one–arm and one–way) detector.

It was already observed in [@BPPP08] that the frequency–independent maximum of the frequency transfer function, ${\cal T}=1$, is achieved when the wave passes through the arm at the particular angle ${{\boldsymbol \Omega}}\cdot{\bf n}_{ED}=\cos{\vartheta}={\rm v}$ and this is only possible when ${\rm v}\leq 1$; this is illustrated in Fig.\[f:TT2a\]. To see the geometrical picture behind that angle we notice first that it is zero when ${\rm v}=1$. In this case as remarked in [@TA10],[@AB2012] the one-arm frequency transfer function ${\cal 