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Almost-dispersionless pulse transfer between the extremal masses of a uniformharmonic spring-mass chain of arbitrary length can be induced by suitablymodifying two masses and their spring's elastic constant at both extrema of thechain. It is shown that a deviation (or a pulse) imposed to the first massgives rise to a wave packet that, after a time of the order of the chainlength, almost perfectly reproduces the same deviation (pulse) at the oppositeend, with an amplitude loss that is as small as 1.3 % in the infinite-lengthlimit; such a dynamics can continue back and forth again for several timesbefore dispersion cleared the effect. The underlying coherence mechanism isthat the initial condition excites a bunch of normal modes with almost equalfrequency spacing. This constitutes a possible mechanism for efficient energytransfer, e.g., in nanofabricated structures.

Almost-dispersionless pulse transport in long quasiuniform spring-mass chains: A new kind of Newton's cradle