Indian Journal of Science and Technology

Abstract

Objectives: To set up a theoretical background for the detection of gravitational waves in a stimulated system. Methods: The methods are based on theoretical notions of gravitational waves on a flat background, and regard them as bumps which make links between two different copies of Minkowskian manifolds. Such a bump, is indeed supposed to impose essential impulses to the massive particles, residing on the space-time manifold, giving them reasonable velocities. In our method, such velocities are detected by means of a normal stimulated detector. Findings: We find that, the elementary dumbbell oscillators in the detector, initially unexcited, have a cross section for absorption of unpolarized gravitational radiation proportional to a Sin function, and when excited, radiates with intensity also proportional to Sin function. The patterns of emission and absorption are identical. We also find that, any other dumbbell oscillator gives the same pattern, apart from a possible difference of orientation. Considering a nonrotating oscillator of general shape, we deduce that it undergoes free vibrations in a single no degenerate mode. We also find that this emission pattern, apart from a fourth parameter that determines total intensity, is uniquely fixed by a single parameter. Furthermore, we construct systems for the pattern of intensity for the two extreme values of this parameter and for a natural choice of parameter intermediate between these two extremes. Applications: we obtain the parameter in question in terms of a certain dimensionless combination of the principal moments of the reduced quadrupole tensor. The method we introduce here is applicable along with the technical difficulties to be surmounted in constructing gravitational wave detectors. 

Keywords: Detection, Gravitational Waves, Quanrupole Tensor, Resonance, Stimulation, Vibration