detectordeondasgravitacionalesdielectrico
TRANSCRIPT
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 1/25
Possibility to construct a gravitational Possibility to construct a gravitationalwave detector bywave detector by
utilizing theutilizing the electrograviticelectrogravitic property of property of
dielectric materials dielectric materials
akaaki usha
Presented at the STAIF II, March.13-15, 2012, Albuquerque, NM
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 2/25
Background of my researchT.T.Brown conducted the research on the rock electricity and he
discovered that rocks possessed a property which he referred to as a
natural electrical polarization. It is the phenomenon that electricity isgenerated from rocks, and he concluded that it was spontaneous,everlasting and affected only by diurnal cycles, which is based onobservation taken for entire years in various parts of the United States.Brown concluded that the dielectric materials underwent changes
influenced by the potion and orientation of the Earth with respect the Sunand Moon and the universe, which leads to the conclusion that the rockscan be charged by the gravitational waves arriving from the universe.The author presents the theoretical analysis of the rock electricity
discovered by T.T.Brown and an experimental result obtained by him to
try to detect gravitational waves from the Crab nebula by using apiezoelectric transducer.
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 3/25
Gravitational wave propagating on
the space-time manifold
zd yd xd c
cr t z y xT
r
Gt r h ′′′
−′′′≈ ∫ 4
)/,,,(4),(
µν
µν
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 4/25
Conventional gravitational wave
detecting methods
Weber Detector
Interferometer
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 5/25
Quantum limit of the conventional
gravitational detectors
M=100Kg, L=1m
2
0 L M h
ω
h=
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 6/25
Expected amplitude of the gravitational wave
using currently accepted models
ε ω 222 R M
r
Gh ≈
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 7/25
Gravitational wave
E
Dielectrics
Electric field by gravitational waves
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 8/25
⎟⎟
⎠
⎞⎜⎜
⎝
⎛ +
′= −
iii
B f cg φ φ
π
κε φ
π
κε
882ˆ 12
mGe 04πε =
gG
E 04
1πε
=
Derivation process of the formula
Weyl-Majumdar-Papapetrou
solutions of the Einstein equations
Equilibrium relation between
the mass and the charge
Quasi-static equation for the generationof electric field by the gravitation
eE m k ≈∂ φ
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 9/25
Charged particle which stays in equilibrium
Gravitational waves
E E δ +0
E e ⋅
mg
mGe 04πε =
eE xmm xm k
k
k =+∂+ 2
0ω φ && )1(/4 2
0 −= χ π ω m Ne,
eE m k ≈∂ φ
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 10/25
0/ φ φ zk zg =∂−∂=
)](exp[0 zk t i z−= ω φ φ
Derivation process of the formula (continued)
(Propagating plane wave)
z z k E k E G /106.8/4 11
00
−×=⋅≈ πε φ
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 11/25
θ
z
Directivity of the voltage output
from the transducer
ck z /cosθ ω =
004 φ πε G
k
E
z=dielectrics
Transducer
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 12/25
The experiment was conducted at the time
1700 on March 5, near the meridian passageof the constellation Taurus, in which the Crab
nebula is located.
Experimental Result for the Detection of
Gravitational Waves
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 13/25
Pulsar in the Crab nebula
At the center of the Crab Nebula, there is a magnetized
neutron star that spins very rapidly, completing
one full revolution every 33 milliseconds (= 30.3Hz30.3Hz).
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 14/25
Facility used for the experiment
5th Research Center, TRDI in Yokosuka, Japan
(35.224494N, 139.728096E, 1700, March 5,2006)
Shield room
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 15/25
Experimental Set-up
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 16/25
Casing
Piezoelectric
material
Support
Structure of the transducer used for
the experiment
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 17/25
Amp
Transducer
FFT
d f h ⋅×= − 020
1013.9 ψ
Multi-purpose
FFT AnalyzerCF-5220
(ONO SOKKI)
Total length 78 mm
d33
302 10-12m/V
r
1400
50dB
Gravitational waves measurement set-up
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 18/25
Crab Nebula
Location of the Experiment:
35.224494N, 139.728096E
Time of the Experiment
1700, March 5, 2006 is near the meridian passage of the constellation,
in which the Crab Nebula is located Maximum directivity of theMaximum directivity of the
transducertransducer
Directivity of the transducer
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 19/25
Analyzed result by the Wigner distribution
τ τ τ τ π
d et st st f W f i
s ∫+∞
∞−
−−+=
2* )2/()2/(),(
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 20/25
f h /1017.1 0
18
00 ψ
−
×=One full revolution of the neutron stat be every 33 milliseconds (= 30.3Hz).
-89.2dBV60.5Hz2
-80.2dBV30.3Hz1
Frequency No 0ψ h
261019.1 −×
271012.2 −×
Frequencies of the signal detected, electric potentialsmeasured at the output of the transducer and estimated
amplitudes of gravitational waves from the Crab pulsar
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 21/25
Experimental data compared with the theoretical analysis
①
②
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 22/25
30Hz and 60Hz spectrums30Hz and 60Hz spectrums
detecteddetected
Not a spherical but
rather an oval shape.
Rotation axis is shifted
from the symmetricalaxis.
Rotation axisRotation axis
Shape of the Crab pulsar estimated
from the Experiment data
Crab pulsar
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 23/25
Conclusion
From the theoretical analysis, it is seen thatthe electric field can be induced by the
gravitational field for the dielectric material
and the relatively small gravitational detectorwith higher sensitivity compared with the
conventional gravitational wave detector can
be constructed.
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 24/25
• Higher dielectric constant The detector must have the length morethan ten times longer the original device to increase the sensitivity up to20dB.
• Higher directivity Multiple transducer array must be used instead of asingle element to sharpen its directivity.
• Low interference noise The experimental site must be located from thecity, where there is a little influence of the electromagnetic noise to theexperimental device.
Proposals for further experiments
Gravitational wave
Transducer array
Shield room
Amplifier Signal Analyzer
8/13/2019 detectordeondasgravitacionalesdielectrico
http://slidepdf.com/reader/full/detectordeondasgravitacionalesdielectrico 25/25
The End