English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate the wave effects of gravitational waves (GWs) using numericalsimulations with the finite element method (FEM) based on the publiclyavailable code {\it deal.ii}. We robustly test our code using a point sourcemonochromatic spherical wave. We examine not only the waveform observed by alocal observer but also the global energy conservation of the waves. We findthat our numerical results agree very well with the analytical predictions.Based on our code, we study the scattering of GWs by compact objects. Usingmonochromatic waves as the input source, we find that if the wavelength of GWsis much larger than the Schwarzschild radius of the compact object, theamplitude of the total scattered GWs does not change appreciably due to thestrong diffraction effect, for an observer far away from the scatterer. Thisfinding is consistent with the results reported in the literature. However, wealso find that, near the scatterer, not only the amplitude of the scatteredwaves is very large, comparable to that of the incident waves, but also thephase of the GWs changes significantly due to the interference between thescattered and incident waves. As the evolution of the phase of GWs plays acrucial role in the matched filtering technique in extracting GW signals fromthe noisy background, our findings suggest that wave effects should be takeninto account in the data analysis in the future low-frequency GW experiments,if GWs are scattered by nearby compact objects in our local environment.

Simulating the scattering of low-frequency Gravitational Waves by compact objects using the finite element method