Radiation Pattern for a MultipleElement HFGW Generator
Abstract
We calculate the values for the HighFrequency Gravitational Wave (HFGW) radiation pattern for a multipleelement HFGW generator in the "far field," that is the field many wavelengths away from the generator. We extendBaker, Davis and Woods (2005) for a single GWemission pair to include an inphase, linear array of N such pairs as discussed in Baker, Stephenson and Li (2008). We calculate new values for the variable K in Baker, Davis and Woods (2005) by decreasing the integration interval of Θ from 10° to 1°. This provides us with a K value of increased accuracy. The improved K has a value of 7.6×10^{7} deg^{2} and is used to find the power intensity, I(Θ), of a single GW source in terms of watts per square degree over the radiationpattern cap The Θ halfpowerpoint angle for a single GWemission pair at their midwaypoint focus is also recalculated and found to be 47.5°. We utilize the result of Romero and Dehnen (1981) and Dehnen and Romero (2003) for an increase in HFGW flux (in a linear array of N inphase radiation elements) proportional to N^{2}. This result is employed to compute the halfpowerpoint angle, idealized radiation cap area and the HFGW flux/powerofasingleradiationelement at a distance of several wavelengths away, for example one meter from the end of a linear and a doublehelical array in Wm^{2} as a function of N. The notional picture shown of an idealized needlelike radiation beam is in the far field. It is described at a distance far enough from the generator that it is beyond the conventional diffraction limit of a beam's radiationpattern cap area. It is found that the HFGW flux calculated is small, but that the LiBaker detector may be capable of sensing the HFGWs generated in a laboratory setting.
 Publication:

Space, Propulsion & Energy Sciences International Forum: SPESIF2009
 Pub Date:
 March 2009
 DOI:
 10.1063/1.3115569
 Bibcode:
 2009AIPC.1103..582B
 Keywords:

 95.85.Sz;
 03.50.De;
 98.80.Bp;
 Gravitational radiation magnetic fields and other observations;
 Classical electromagnetism Maxwell equations;
 Origin and formation of the Universe