View source for Radiation Pattern for a Multiple-Element HFGW Generator

{{Infobox paper
| title = Radiation Pattern for a Multiple-Element HFGW Generator
| author = [[Robert M L Baker]]
| keywords = [[Gravitational Waves]], [[High Frequency]], [[Radiation Pattern]]
| published = 2009
| volume = AIP 1103
}}

==Abstract==

<span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">       We calculate the values for the High-Frequency 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 extend Baker, Davis and Woods (2005) for a single GW-emission pair to include an in-phase, linear array of ''<span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small">N </span></span>''<span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">such pairs as discussed in Baker, Stephenson and Li (2008). We calculate new values for the variable </span></span>''<span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small">K </span></span>''<span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">in Baker, Davis and Woods (2005) by decreasing the integration interval of </span></span><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small">? </span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">from 10</span></span><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small">? </span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">to 1</span></span><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small">?</span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">. This provides us with a K value of increased accuracy. The improved K has a value of 7.6x10</span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">-7 </span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">deg</span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">-2 </span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">and is used to find the power intensity, I(</span></span><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small">?</span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">), of a single GW source in terms of watts per square degree over the radiation-pattern cap The </span></span><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small">? </span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">half-power-point angle for a single GW-emission pair at their mid-way-point focus is also recalculated and found to be 47.5</span></span><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: SymbolMT; FONT-SIZE: xx-small">?</span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">. 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 </span></span>''<span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small">N </span></span>''<span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">in-phase radiation elements) proportional to </span></span>''<span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small">N</span></span>''<span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">2</span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">. This result is employed to compute the half-power-point angle, idealized radiation cap area and the HFGW flux/power-of-a-single-radiation-element at a distance of several wave lengths away, for example one meter from the end of a linear and a double-helical array in Wm</span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">-2 </span></span><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">as a function of </span></span>''<span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPS-ItalicMT; FONT-SIZE: xx-small">N</span></span>''<span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small"><span style="FONT-FAMILY: TimesNewRomanPSMT; FONT-SIZE: xx-small">. The notional picture shown of an idealized needle-like 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 radiation-pattern cap area. It is found that the HFGW flux calculated is small, but that the Li-Baker detector may be capable of sensing the HFGWs generated in a laboratory setting.</span></span>

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[[Category:Scientific Paper|radiation pattern multiple-element hfgw generator]]

[[Category:Gravity|radiation pattern multiple-element hfgw generator]]