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Freezing and Amplification of Water Waves in a Time-Varying Medium

Simons Foundation via YouTube

Overview

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Explore the fascinating physics of water waves in time-varying media through this 47-minute conference talk that demonstrates how vertical acceleration can effectively modify gravity to create extreme wave phenomena. Discover how water waves serve as an exceptionally versatile experimental platform for studying time-modulated media, enabling rapid and large-amplitude modulations that reveal a broad spectrum of dynamical regimes. Learn about parametric amplification mechanisms similar to Faraday excitation and high-frequency Kapitza-like modulation that fundamentally reshapes wave dispersion and resonance characteristics. Examine how both temporally ordered and disordered media can be realized in water wave systems, leading to transient energy localization and exponential amplification effects. Investigate the engineering of temporal interfaces that induce abrupt changes in wave behavior, including regimes that mimic non-Foster media with effective negative gravity conditions. Understand how these sophisticated control mechanisms can slow down or completely freeze wave packets, opening new pathways for wave propagation control. Gain insights into the potential of water wave experiments as a laboratory environment for studying extreme wave physics in time-modulated media, with applications spanning from fundamental wave theory to advanced wave manipulation technologies.

Syllabus

Emmanuel Fort: Freezing and Amplification of Water Waves in a Time-Varying Medium (October 23, 2025)

Taught by

Simons Foundation

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