I have read this question:
where kingledion says:
Gravitational waves were theorized a century ago and recently discovered, leading to the awarding of the 2017 Nobel Prize in Physics. According to Wikipedia: Gravitational waves transport energy as gravitational radiation, a form of radiant energy similar to electromagnetic radiation.
where Ben Crowell says:
What is actually observed is the superposition of this wave with the incident wave. This superposition has two parts, a reflected wave and a transmitted one. In the limit of a low-density medium (such as a gas), the index of refraction is given by n2=1−ω2pf(ω), where ωp, called the plasma frequency, is given by ω2p=Ne2/mϵ0, where N is the number density of electrons. The plasma frequency has an e/m in it from the amplitude of the driven harmonic oscillator, and another factor of e because the amplitude of the reemitted wave is proportional to the amount of charge oscillating. In the case of silica glass, I think the 0.1 μm resonance is probably what is described by the above mechanism, while the other resonances are similar mathematically but involve other effects than oscillation of bound electrons. E.g., the Si-O-Si bridges would resonate at a lower frequency due to the greater inertia of the nuclei compared to electrons. The above does seem to suggest that there's some very universal behavior going on in the interaction of EM waves with matter.
where annav says:
A photon impinging on the surface of the lattice, finds not two slits , but a depth of slits all the way through. The observed effect of the different angular distribution according to the impinging frequency of the photon must be the result of the quantum mechanical interference of the photon, which must be constructive in the angle of refraction given by its frequency and index of refraction and destructive everywhere else, otherwise we would be seeing interference fringes ( actually we do get a second rainbow, but that is a different story :) , though should be similar). Then the problem is reduced to explaining the frequency dependence. I will hand wave again and say that the smaller the frequency the larger the distances in the interference pattern of the probability wave ; the photon will see the lattice gaps differently according to its wavelength, as is true for the double slit experiment, so a fanning out is to be expected.
Now there is a classical and a QM explanation both for dispersion/refraction of EM waves/photons through a prizm.
In optics, dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency.n optics, one important and familiar consequence of dispersion is the change in the angle of refraction of different colors of light,2 as seen in the spectrum produced by a dispersive prism and in chromatic aberration of lenses.The most familiar example of dispersion is probably a rainbow, in which dispersion causes the spatial separation of a white light into components of different wavelengths (different colors).
Now even in the classical explanation of EM waves', it is easily explainable why the wavelength of different EM waves creates the dispersion we see in a prizm.
Now GW have been experimentally observed, they do exist.
I have not found anything about whether GWs do get dispersed based on their wavelength. Some GWs have their own specific wavelength, and some must be a combination of different wavelength waves (just like white light is a combination of all visible wavelength EM waves).
Now if we already observed GWs, did we observe their dispersion, they must obey the same physical laws, and they must undergo dispersion, as they change media.
The phase of gravitational waves in the dispersive case and non-dispersive case and dephasing between two waveforms. The total Mass M=106 M⊙, the symmetric mass ratio ν=10−5, e=0.5, p=12M and a=0.9. We set DL=1.00 Gpc, where Z≈0.20 and D≈0.83 Gpc. The Compton wavelength of graviton λg=1.6×1013 km. The cyan, orange and red curves represent the non-dispersive's, dispersion's phase and dephasing respectively.
In principle, gravitational waves could exist at any frequency. However, very low frequency waves would be impossible to detect and there is no credible source for detectable waves of very high frequency.
Do GWs disperse at the edge of different media (like EM waves in a prizm)?
Have we ever experimentally seen different wavelength GWs disperse at the edge of different media?