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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. 4 …Change in Centrifugal Force of Orbiting Masses, .dfct, Replaced by Change in Tangential Force, Aft, to…
  • p. 5 …cannot be shielded or shadowed by planetary masses. Plasma interference seen at planetary entry would be…
  • p. 8 …Change in Centrifugal Force of Orbiting Masses, b.fc1, Replaced by Change in Tangential Force, 4ft…
  • p. 9 …as the particles move through a target mass. The usual difficulty with HFGWs generated by nuclear…
  • p. 10 …to an individual slice, P and its mass, m would be both one hundredth of their…
  • p. 13 …radiation pattern for a pair of orbiting masses. GW l I T GW Figure 4. Radiation…
  • p. 14 …The mass density of pentane is divided by its molecular mass and that gives the density…
  • p. 17 …In 1995 Tobar characterized multi-mode resonant-mass HFGW detectors and three years later in 1998…
  • p. 22 …E/c2 may be substituted for mass in an energy only system. This is depicted in…
  • p. 36 …as strongly affected by the presence of mass. Such a differential propagation delay comparison (between RF…
  • p. 41 …The concept is that the mass essentially "rolls" down a "hill" produced by the static g…
  • p. 47 …V. (2009a), "Lessons for Energy Resonance HFGW Detector Designs Learned from Mass Resonance and Interferometric LFGW…
  • p. 48 …Tobar, M, 1729-1736 E. (1995), "Characterizing multi-mode resonant-mass gravitational wave detectors," Journal of…
  • p. 49 …pairs of oppositely jerking at one-time mass elements, integer power of the generated gravitational waves…
UNCLASSIFIED/ ,SFIHl 8FFHil.tzk Wili &HkY
Coherent Versus Stochastic SOL
The question under consideration in this paper is whether or not the Li-Baker detector,
Figure 14, is quantum-limited when detecting relic HFGW. In other words, does the
standard quantum limit (SQL) interfere with the sensitivity of the Li-Baker detector
design? The answer will be negative if the SQL is less than 10-32 m/m. Grishchuk ( 1977,
2007) has calculated the SQL for GW detectors in general, which for a coherent GW is
hdet = (l/Q)(l>w/E)V2 (5)
and for a stochastic GW is:
(6)
where hdet is the metric (strain) detection limit in m/m, (rJ is the frequency of sensed
gravitational waves (typically around 10 GHz in the Li-Baker detector), Eis the effective
energy contained within the detector cavity summed over the detection averaging time,
and Q is the quality factor or selectivity of the signal over noise.
The SQL depends on the values of these parameters. For the remainder of this paper,
we will consider the SQL of only the stochastic signal detection case. In the following
subsections the best possible value of the SQL using current technology will be
estimated to determine the fundamental limitations of the Li-Baker detector as now
envisioned.
Impact of Contained Energy Levels on SQL
First attempt to estimate a realistic best case for the energy contained within the
detection process, E. Typically it is expected that for a refrigerated microwave resonant
cavity the best possible electrical quality factor will be around 2rrx10 5 . Assuming a "best
efforts" value of 1000 W for the power of the Gaussian beam in a laboratory
installation, the effective total RF energy stored in the microwave resonant cavity of the
Li-Baker detector, summed over the system averaging time, is estimated to be given by
(Grishchuk, 2007):
ERF = (10 3 W) x (1000s) x (2rrxl0 5/2rr) = 10 11] (7)
over a typical 1000 s averaging time. Both the Li-Baker detector and a detector using
the Gertsenshtein effect use a large static magnetic field 8. For the present suggested
outline design for the Li-Baker detector, the nominal value of 8 = 3 T, so that the
magnetic energy density is given by
The interaction volume in a practical laboratory-based detector is likely to be a
maximum of around 1 m 3 . So, the effective total stored energy from the Gaussian
18
UNCLASSIFIED/ /r;OA. oi;i;1@IAI! l!l!II! 9HL I
( 8)

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