| Topic for open discussion: Frozen Waves on Kite Lines
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| May
31, 2020, post by Dave Santos Frozen Waves on Kite Lines Standing waveforms are commonly defined as those pop up and down in the same place (ie. clapotis), but the family of such waves also includes extended engineered square-waves and all sort of natural waves slow and/or large enough, to effectively sustain a DC-like constant amplitude output, an energy transport "frozen wave", effectively at zero velocity. In a polymer case, the constant tension of a kite line or tow rope is just this sort of frozen wave. Accounting frozen waves unifies and completes wave-analysis of mixed systems with moving waves. Imagine two ships, one towing the other. In principle, ideal constant tension can be maintained as the ships alternate towing each other. Rather oddly, the tether would experience constant state even as the energy flow stalled, then reversed direction. In practice, residual noise on the line is a complete sonic hologram movie of the whole system. A moving wave may be "caught". Under Galilean Relativity, surfing a wave effectively freezes it. Melted Waves even: Inverse corollary of catching a wave--to freeze it-- is to leave a wave: to melt it. Sample of widespread but oft-overlooked notion:
"we have named “Frozen Waves” (FW) these new solutions to the wave
equations (and, in particular, to the Maxwell equations)"
Theory of Frozen Waves
========================================================M. Zamboni-Rached, Erasmo Recami,, and H. E. Hernández-Figueroa |
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