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Defense Intelligence Reference Document High-Frequency Gravitational Wave Communications

Defense Intelligence Agency · 57 pages · text from the file's own layer

This Defense Intelligence Reference Document was prepared by the Defense Intelligence Agency under its Advanced Aerospace Weapon System Applications (AAWSA) program, is dated 6 April 2010 and is part of a series of advanced technology reports produced in FY 2009. It reviews proposed laboratory generators and detectors of high-frequency gravitational waves for communications. It favors an infrared-excited molecules transmitter and the Li-Baker detector, estimating about 1.9 million bits per second over 7,000 km through the Earth. It also discusses timing standards and interplanetary navigation uses.

  • p. 3 …the FTS Devices ............................................. 30 3.4.1 Propagating Signals From Optical Lattice Clocks for Timing ................ 31…
  • p. 4 …Omni-Directional Nature of the HFGW Radiation Pattern ....................... 10 Figure 8. Predicted Relic GW Energy Density…
  • p. 5 …The Piezoelectric Approach to HFGW generation is best for the proof-of- concept test and the…
  • p. 6 …Antennas, cables, and phone lines would be things of the past. A timing standard alone, provided…
  • p. 8 …over the time interval !1t, s; that is, the jerk or shake of the two masses…
  • p. 9 …The usual difficulty with HFGWs generated by nuclear reactions is the small dimensions of their nuclear…
  • p. 22 …the initial momentum uncertainty, dt is the time of the future measurement, and m is the…
  • p. 23 …Eis the effective energy contained within the detector cavity summed over the detection averaging time, and…
  • p. 24 …The temporal quality factor in the Li-Baker detector arises from averaging the signal over time…
  • p. 28 …Another way to increase Q is to arbitrary increase sample times of the signal. This technique…
  • p. 29 …There is also a hidden integral here which occurs over the sample time, which is understood…
  • p. 30 …3.3 FREQUENCY AND TIME STANDARD The first application of HFGW to the distribution of frequency…
  • p. 31 …The arrival times of the received PPS signals could be compared via time difference of arrival…
  • p. 32 …The universal nature of the HFGW frequency and time standards are especially helpful. The following telecommunication…
  • p. 33 …the search space is reduced, speeding acquisition. • Ultra-fast acquisition allows more efficient TDMA, or Time…
  • p. 34 …For a 5 μsec acquire test time, the result is Tacq = 150 x 150 x 16…
  • p. 35 …At this precision one could measure the time delay caused by changing once centimeter in height…
  • p. 36 …the problem of mapping the positions of the Lagrangian points, which vary slightly over time. 3…
  • p. 38 …As prototypes show promise they could be transitioned to device development, the first time that industry…
  • p. 39 …For instance, if there were one GW source on Earth, and one GW source on the…
  • p. 41 …Nonlinearity improves the focusing process and h goes to one in finite time, producing a singularity…
  • p. 45 …and Stephenson, G.V. (2007), "The Value Estimation of an HFGW Frequency Time Standard for Telecommunications…
  • p. 46 …Thesis, The University of Birmingham, January. Kippenberg, T. J. and Vahala, K. J. (2008), "Cavity Optomechanics…
  • p. 49 …time of future measurement, s effective energy contained within the detector cavity summed over the detection…
  • p. 50 …The project plan and timing are described below under separate headings for each component of the…
  • p. 51 …coils that superimpose upon the constant applied magnetic field a time-varying component at low frequency…
  • p. 53 …photon events, and has very good time resolution. The disadvantage is its cost and complexity. This…
  • p. 55 …Cryogen-free (more accurately, the cryogen is completely enclosed and re-cycled each time the magnet…
UNCLASSIFIED/ /PIHi: 8PPH!ltlrt 1!181!! 8HLZf
rotating rods, laboratory HFGW generation, and so forth is based upon the "jerk" or
shake of mass (time rate of change of acceleration) and is derived by Baker (2006) as
P = l.76xlo· 52 (2rllf/llt) 2 W ( 1)
where Pis the power of the GWs, W; r is the distance between two masses, m; !1f is a
change in force, N; over the time interval !1t, s; that is, the jerk or shake of the two
masses, such as the change in centrifugal force vector with time; for example, as
masses move around each other on a circular orbit. Figure 2 describes that situation.
Please recognize, however, that !1f need NOT be a gravitational force (see Einstein,
1918; Infeld quoted by Weber 1964, p. 97; Grishchuk 1974). Electromagnetic forces
are more than 1035 larger than gravitational forces and should be employed in
laboratory GW generation. As Weber (1964, p. 97) points out: "The non-gravitational
forces play a decisive role in methods for detection and generation of gravitational
waves ... " Equation (1) is also termed "quadrupole formalism" and holds in weak
gravitational fields (well over 100 g's), for speeds of the generator "components" less
than the speed of light and for r less than the GW wavelength. This last restriction may
not really apply. Certainly there would be GW generated for r greater than the GW
wavelength, but the quadrupole formalism might not apply exactly. For very small !1t,
the GW wavelength, AGw = cl1t (where c ~ 3x108 ms· 1, the speed of light) is very small
and the GW frequency VGw is high. As a numerical example, r is choosen to be 10 m
(convenient laboratory size, though usually greater than AGw), M = 4x 10 8 N; for
example, the force produced by a large number of piezoelectric resonators and !1t =
2x 10-10 s; equivalent to about a VGW = 5 GHz jerk or shake frequency so that AGw = 6
cm and P = 2.8x 10· 13 W or 0.28 picowatts. Clearly a very small HFGW power is
generated.
GW
+
A
' ',<J--,------i--------- 8 -------
fr.f r I
"" I
------------ __J__I
I
T
GW
GW
Figure 2. Change in Centrifugal Force of Orbiting Masses, b.fc1, Replaced by Change in Tangential Force,
4ft, to Achieve HFGW Radiation
One of the first suggested means for the laboratory generation of HFGWs was the so-
called gaser analogous to the laser for light. Simply described (Halpern and Laurent,
3
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