Detection of Gravitational Waves with High Frequency Square Waves from Crystal Oscillator

Authors: Dhananjay P. Mehendale

We propose novel technique for detecting gravitational waves using setup like LIGO and a robust square wave generator as source of waves generating stable square waves with high frequency using an appropriate crystal oscillator. This change in source will prove very effective for the process of detecting gravitational waves because even if with extremely small change in phase of two interfering waves reaching the beam splitter there will be detectable change in the amplitude due to the suddenly rising sharp edge of these almost but not exactly destructively interfering waves upon the passing of gravitational waves. This idea of achieving detectable amplitude of a portion of signal reaching the detector will make it possible to record extremely small phase difference generated due to passing of some gravitational waves through apparatus in the two interfering square wave beams. The change suggested in the gravitational wave detection experiment using high frequency well regulated square wave source will produce the following effects. When no gravitational waves will reach the apparatus the square waves from crystal oscillator will move towards beam splitter and will split into two square waves heading towards reflectors kept orthogonally to each other at equal distance from beam splitter at the ends of two interferometer arms and these waves will reflect back to interfere destructively so that no signal will reach the detector. But when some gravitational waves will be reaching the apparatus and further suppose there is squeezing along arm A and stretching along arm B of the interferometer as an effect these gravitational waves will be producing the (very small) phase difference in the interfering square waves reaching back to beam splitter. Now, however small may be this phase difference its undetectably small amount still will remain detectable because of sharp rise and fall of amplitude at edges of square wave because of its typical shape and so some detectable part of these interfering waves will pass towards detector to offer a conclusive proof for the existence of gravitational waves!

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[v1] 2012-05-21 14:15:46

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