Analyses of the Frequency and Intensity of Laboratory Generated HFGWs

The theoretical concept underlying two laboratory high-frequency gravitational wave or HFGW generator designs or devices is presented. The generators are of two types: laser-target and piezoelectric or Film Bulk Acoustic Resonators (FBARs). The laser-target device is energized by ultra-high-intensity lasers and the FBAR device is energized by a myriad of Magnetrons.-Such HFGW generators emulate the classical spinning-rod (or dumbbell) or orbiting-mass GW generating systems that are discussed by Baker (2006). The laboratory HFGW generators emulate these classical systems by utilizing an impulse or acceleration change over a very brief time interval that can be considered to be a 'snapshot' or brief time-span picture of the classical systems. The laser targets or FBAR vibrational membranes undergo the force change captured by this 'snapshot,' but there is a small variation in the force with time, or first time derivative of force, over the incremental time period of the snapshot. The paper theoretically examines the force waveform or wave shape as well as the HFGW waveform generated during the infinitesimal time. It is concluded that a synchro-resonance (inverse Gertsenshtein effect) detector, such as proposed by Li, Baker and Fang (2007), works best if its EM detection beam (a Gaussian beam), which is an essential element of that HFGW detector, replicates the GW frequency, speed and waveform of the of the laboratory generated HFGWs. For other detectors, such as electromagnetic, resonance cavity or solid state e.g., 'large crystal' (phonon producer), the waveform serves as a template for the expected signal. The size of the generated HFGWs is proportional to the absolute value of force change divided by the incremental time interval, which is the slope of the force versus time curve. A generalized design-parameter relationship for a HFGW laboratory generator is derived.