Table 3 Parameters used in the sensitivity curve.

From: The design strain sensitivity of the schenberg spherical resonant antenna for gravitational waves

Description

Value

Thermodynamic Temperature

\(T=100\) mK

Sphere mechanical Q

\(Q=1\times 10^7\)

Resonator 1 mechanical Q (transducer first mode)

\(Q_1=1\times 10^6\)

Resonator 2 mechanical Q (transducer second mode or membrane mode)

\(Q_2=1\times 10^5\)

Transducer central frequency

\(F_T=3206.3\) Hz

Transducer minus frequency

\(F_-=3172.5\) Hz

Transducer plus frequency

\(F_+=3240.0\) Hz

Pump frequency

\(F_\text{pump}=1\times 10^{10}\) Hz

Electric coupling constant

\(\beta _\text{e}=0.65\)

Frequency shift due to the displacement of the transducer membrane

\(\frac{df}{dx}=7.26^{14}\,\text{Hz}/\text{m}\)

Pump oscillator incident power

\(P_\text{inc}=1\times 10^{-10}\) W

Amplifier noise temperature

\(T_\text{amp}=10\) K

Electrical quality factor of the transducer cavity

\(Q_\text{e}=3.8\times 10^5\)

Phase noise spectral density

\(S_\text{p}=1\times 10^{-13}\) dBc/\(\text{Hz}\)

Amplitude noise spectral density

\(S_\text{a}=1\times 10^{-14}\) dBc/\(\text{Hz}\)

Loss in the microwave transmission line between transducer and amplifier

\(L_\text{amp}=5\)