status of virgo sipho van der putten. 2 contents introduction to gravitational waves virgo pulsars:...
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Status of VIRGO
Sipho van der Putten
2
Contents
Introduction to gravitational waves VIRGO Pulsars: gravitational waves from periodic
sources Pulsars in binary systems Analysis approach
3
Introduction to Gravitational Waves ‘Ripples’ in space-time
due to accelerating masses distorting space-time Two polarizations: ‘+’ & ‘x’ Measured in strain: h=dL/L
Extremely weak effects: Supernova (10 kpc, ~10
Msolar): h~10-22
Rotating deformed neutron star (~10 kpc, ~1 Msolar, 100 Hz): h~10-27
Ring of free falling masses
L
4
VIRGO Science Run VSR1 complete
Oct ‘07 Combined LIGO & VIRGO
data taking ~5 months data
Current upgrade (VIRGO+) underway 5x better at low freq &
2x better at high freq Nikhef: Electronics, IMC VSR2 in mid 2009:
Combined run with eLIGO 1 year of data
Next upgrade AdvVirgo 10x better in sensitivity than
initial VIRGO design 2010 to 2012
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Periodic sources of gravity waves Pulsars: spinning
neutron stars Emitting GWs requires
quadrupole moment; symmetry axis is not rotation axis
Neutron stars: Isolated Binary systems
2
0238
36
27
100
10
10101005.1
Hz
f
r
kpc
mkg
Ih rneutronsta
6
Neutron stars in binary systems 2/3 of NS (f>10Hz) in a binary system
Mass transfer: Spin-up: f increases
Many parameters: Orbital: Sky Position: Source: ….
Doppler shift due to orbit of binary system: non stationary frequency Our goal: All-sky search for neutron stars in binary systems
,,/, 00 hdtdff ,
eaP p ,,
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Doppler shift Fixed point emits
stationary frequency Rotation of Earth (daily
motion) df/f~10-6
Earth’s orbit (yearly motion) df/f~10-4
Pulsars in binary system df/f~10-3
Hulse-Taylor system All shifts included
8
Analysis binaries: spectral filtering Non stationary frequency:
FFT → power spread out, bad S/N
Spectral filtering: Identify the signal in the data
fsig= 203.1 Hz
fsig= 203.1 – 5*10-4 t Hz
sTHz fP
Pobssample
Noise
Signal 4096 , 4096 ,10 4
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Conceptual approach
Split the data in time stretches
Second order spectral filter
Each matching filter: f0,a,b,tavg
Pattern recognition using all the information available
20)( btatftf
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Simulations Simulated waveform:
Hulse-Taylor system Divide in time slices
1286 s Simple FFT each slice
Time (s)
Fre
quen
cy (
Hz) hrec
Time (s)
Fre
quen
cy
(Hz)
hrecP(noise)=100 P(sig)
11
Spectral filtering Spectral filters:
2607 filters, applied ~109 times
Threshold 4x noise level CPU time: 1 day for ~10 h
data (0-400 Hz) Many improvements in
efficiency possible Non-stationary frequency not
an issue anymore To do:
Investigate higher order filters→ longer FFTs
Pattern recognition
Time (s)
Fre
quen
cy
(Hz)
hrecP(noise)=100 P(sig)
12
Conclusions VIRGO & LIGO have 5 months of science-grade
data VIRGO+ & eLIGO upgrade underway and will be
ready in 2009 Analysis of binary pulsars:
Conceptual approach to analysis: spectral filtering S/N 0.1 easy with 2nd order filter Time dependent frequency no problem Todo: test idea on simulations and real data (higher
frequency signal, more noise) Todo: implement pattern recognition