ShotNoise - Shot noise in GW detectors G González x Power...

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Unformatted text preview: Shot noise in GW detectors G González x Power (ASDC) bright dark λ /2 The dark fringe L+ δ L L- δ L i ∝ δ L ? P=P sin 2 ( ϖ t+k δ l) = (P /2) (1+sin (2 ϖ t+2k δ l)): insensitive to δ l If we phase-modulate the light: • If the Michelson arms are equal length in average, power is same (dark) for carrier and sidebands: no signal yet. • If arms are not equal ( Schnupp asymmetry ), carrier is dark, but sidebands are not. • The “beat” of carrier and sidebands has then a signal (photocurrent): P=|E +E + +E- | 2 ∝ DC+ J J 1 sin(k δ L)sin(k m D L)sin(w m t) + …(2w m t) •Then, “ demodulate ” : multiply by sin(w m t) or cos(w m t) to produce I and Q phases For ϖ m =25 MHz ( λ m =12 m), sidebands have w ± wm=w0(1 ± 1.4 10 -8 ). Michelson interferometer Shot noise at output : white noise with psd: φ 2 ( f ) = 2 hn h P Output signal: x Power (ASDC) bright dark λ /2 Power-recycled Michelson: PNI experiment 1995-1999 QuickTime S and a TIFF (LZW) decompressor are needed to see this picture. (green) PNI experiment...
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This note was uploaded on 12/30/2011 for the course PHYSICS 7353 taught by Professor Dowling during the Fall '07 term at LSU.

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ShotNoise - Shot noise in GW detectors G González x Power...

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