detectordeondasgravitacionalesdielectrico

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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



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.



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



Conventional gravitational wave

detecting methods

Weber Detector

Interferometer



Quantum limit of the conventional

gravitational detectors

M=100Kg, L=1m

2

0 L M h

ω

h=



Expected amplitude of the gravitational wave

using currently accepted models

ε ω 222 R M

r

Gh ≈



Gravitational wave

E

Dielectrics

Electric field by gravitational waves



⎟⎟

⎠

⎞⎜⎜

⎝

⎛ +

′= −

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



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



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



θ

z

Directivity of the voltage output

from the transducer

ck z /cosθ ω =

004 φ πε G

k

E

z=dielectrics

Transducer



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



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).



Facility used for the experiment

5th Research Center, TRDI in Yokosuka, Japan

(35.224494N, 139.728096E, 1700, March 5,2006)

Shield room



Experimental Set-up



Casing

Piezoelectric

material

Support

Structure of the transducer used for

the experiment



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



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



Analyzed result by the Wigner distribution

τ τ τ τ π

d et st st f W f i

s ∫+∞

∞−

−−+=

2* )2/()2/(),(



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



Experimental data compared with the theoretical analysis

①

②



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



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.



• 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



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