Figure 46

Figure 46: Left panel: the SQL beating factors ξ2 for Ωq ∕Ω0 = 0.1. Thick solid: the second-order pole system (511View Equation); dots: the two-pole system with optimal separation between the poles (528View Equation), (529View Equation); dashes: the harmonic oscillator (170View Equation); thin solid – SQL of the harmonic oscillator (171View Equation). Right: the normalized SNR (526View Equation). Solid line: analytical optimization, Eq. (530View Equation); pluses: numerical optimization of the spectral density (514View Equation) in the lossless case (η = 1); diamonds: the same for the interferometer with J = (2π × 100)3 s−3, ηd = 0.95 and the losses part of the bandwidth γ2 = 1.875 s−1 (which corresponds to the losses Aarm = 10− 4 per bounce in the 4 km long arms).