An example of the anti-localization of non-stationary quasi-waves in a 1D semi-infinite harmonic chain

We show a new example of the mechanical system where the phenomenon of the anti-localization of non-stationary (quasi)-waves can be observed. This is a 1D semi-infinite harmonic chain subjected to an impulse loading at the free end. The anti-localization of non-stationary waves is zeroing of the non-localized propagating component of the wave-field in a neighbourhood of an inclusion or defect. The known examples of systems, where this wave phenomenon occurs, are a 1D infinite harmonic chain with an isotopic defect (Shishkina, Gavrilov, 2023, Continuum Mech. Thermodyn. 35, 431–456), and an infinite string on the Winkler foundation with a discrete oscillator (Shishkina, et al., 2023, J. Sound Vib. 553, 117673).