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During the glorious success of the EHT in providing the first image of ablack hole, numerous papers have been published about the effect of differentastrophysical environments on black hole geometry. Motivated by the work on howgravitational wave affects the shadow of a Schwarzschild black hole [Eur. Phys.J. C 10.1140/epjc/s10052-021-09287-2], we extend it by considering a quantumcorrection on the black hole through the extended uncertainty principle (EUP).Along with this correction, we probe the gravitational wave's effect on thenull geodesics, and photonsphere, and find constraints to the gravitationalwave parameter $\epsilon$ using the black hole shadow of M87* for some giventest value for the gravitational wave frequency $\sigma$. Not only that somenodes were found in the light trajectory, but the general behavior of pathschanges in a periodic way as the time $t$ progresses. These patterns thenconfirm the chaotic formation of the shadow seen by some remote observer.Finally, the constraint that we find for $\epsilon$ is $~10^{-10}$ orders ofmagnitude for the effect of the gravitational wave to be seen at a distance of$D = 16.8$ Mpc. As a consequence of such a value for $\epsilon$, another resultreveals that while there is are gravitational wave effect on the shadowperceived at $D$, the deviations on the photonsphere are nearly non-existent.Apart from Earth-based detectors for gravitational waves, the study implies thepossibility of an alternative detection method especially if a gravitationalwave source is near a lone black hole.

Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope