Gravitational Wave (GW) Radiation Pattern at the Focus of a High-Frequency GW (HFGW) Generator and Aerospace Applications

Abstract

The Gravitational Wave (GW) radiation pattern is derived that results from a rod rotating about a pivot, a dumbbell rotating about its central axis, a pair of stars rotating about their orbital focus, or a stationary circular asymmetrical-array of tangentially jerking elements. The three-dimensional shape of the GW radiation pattern is like a dumbbell cross-section having its long axis perpendicular to the plane of motion or along the central axis of the stationary ring of sequentially jerking elements. The center of the radiation pattern is situated at the pivot, orbital-focus, or center of the stationary array. Knowledge of the GW radiation pattern allows for optimum placement of a detector. In the case of High-Frequency Gravitational Waves (HFGWs), in which the diffraction of the GW radiation is less than the dimensions of the ring of jerking elements, the radiation pattern is situated at the center of the ring and represents a focus or concentration point of the HFGWs, The concentration point extends over a diffraction-limited spot having a radius of λ GW /π, where λ GW is the wavelength of the HFGW. In the case of a superconductor, prior research, although speculative has shown that the GW wavelength is foreshortened by a factor of about 300. Thus there could be a much more concentrated diffraction-limited flux of HFGW at the focus. It is shown that the efficiency of a HFGW communications link could be approximately proportional to the sixth power of the HFGW frequency. Applications to space technology, involving aerospace communications, and Astronomy are discussed.

Analyses of the Frequency and Intensity of Laboratory Generated HFGWs

“…The moving plane of the polarization is perpendicular to the plane of the rotating dumbbell and includes the longitudinal axis of the dumbbell (the rotating line between the two radiating masses). The spinning dumbbell also produces a peanut-shaped GW radiation pattern, for example as derived by Landau and Lifshitz (1975) and discussed by Baker, Davis, and Woods (2005), whose axis is along the axis of dumbbell's rotation and centered midway between the two dumbbell masses. This pattern is a figure of revolution developed as a figure "8" shaped radiation pattern rotates as the dumbbell revolves.…”

“…The HFGW flux of the generator FQW moving parallel to the GB (in either of the peanut-shaped radiation pattern caps intercepted by a cone having a ten degree or 10° semi-vertex angle), from Eq. (10) of Baker, Davis and Woods (2005), is given by…”

Proposed Ultra-High Sensitivity High-Frequency Gravitational Wave Detector

“…These tiles would be attached to the inside surface of the detector's cryogenic containment vessel and would represent an almost perfect Faraday Cage. Additionally, several layers of fractal membrane reflectors, tuned to the HFRGW frequencies in the bandwidth of interest, could also be attached to this surface.Since it is possible that a superconductor could reflect GWs (Baker, Davis and Woods, 2005) a section of the containment vessel at the negative end of the z-axis should be kept clear of superconductor tiles to allow the HFGWs to enter. Fractal membrane reflectors, tuned to the detection frequency, could be utilized there to keep external microwave photons out.…”

Towards a New Era in Gravitational Wave Detection: High Frequency Gravitational Wave Research

“…This principle has been investigated also with respect to a potential set-up of a magneto-optical GW device (Baker, Davis and Woods, 2005;Li, Baker, Fang, Stevenson, Chen, 2007). In the so-called Direct Gertzenshtein Effect, the source of the gravitational radiation is the Maxwell stress tensor: in 1960 Gertzenshtein discovered that a wave resonance solution exists to the general relativity field equations that predict an emitted gravitational wave due to an EM wave propagating through a static magnetic field; In the quantum image, a coaligned magnetic field acts as a "conversion medium", transforming some spin 1 particles (photons) to spin 2 particles (gravitons).…”