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Visual perception of longitudinal waves: theory and observations.
Christopher W Tyler1,2, Joshua A Solomon3, Stuart M Anstis4
1Smith-Kettlewell Eye Research Institute, San Francisco, USA. cwt@ski.org.
Scientific Reports
|March 24, 2026
Summary
Visual perception of longitudinal waves reveals unexpected nonlinearities. As oscillation amplitude increases, motion perception splits, deviating from uniform wave behavior and challenging prior assumptions.
Area of Science:
- Visual perception
- Wave motion physics
- Acoustics and seismology
Background:
- Longitudinal travelling wave motion is fundamental to acoustics and seismic transmission.
- Physical analysis reveals significant nonlinearities in longitudinal waves, largely overlooked.
- Previous research has not explored the visual perception of these nonlinearities.
Purpose of the Study:
- To investigate the visual perception of longitudinal travelling wave motion.
- To analyze how nonlinearities affect the perception of wave motion.
- To understand the emergent properties of perceiving longitudinal waves.
Main Methods:
- Simulated longitudinal wave motion using a visual random-dot field.
- Each dot oscillated sinusoidally with phase advance proportional to distance.
- Varied oscillation amplitude and added rigid velocity components for analysis.
Main Results:
- Perception deviates from a uniform travelling wave, splitting into forward crest and backward trough motion.
- Density function transforms from a single spike to a double spike with increasing amplitude.
- Perceptual cancellation speed scales nonlinearly with oscillation amplitude.
Conclusions:
- The perception of longitudinal waves is an emergent, higher-order phenomenon.
- Nonlinearities significantly alter the visual perception of wave motion.
- Understanding these perceptual effects is crucial for acoustics and related fields.
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