Related Experiment Video
Updated: Jul 7, 2026

04:54
A Stable Phantom Material for Optical and Acoustic Imaging
Published on: June 16, 2023
Experimental evidence of deviation from mirror reflection for acoustical shock waves
Régis Marchiano1, François Coulouvrat, Sambandam Baskar
1Institut Jean le Rond d'Alembert (UMR CNRS 7190), Université Pierre et Marie Curie-Paris 6, 4, place Jussieu 75252, Paris Cedex 05, France. marchi@lmm.jussieu.fr
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 1, 2008
Summary
Nonlinear shock waves deviate from mirror reflection laws at grazing angles. Experiments using ultrasonic waves in water reveal three distinct reflection patterns, challenging traditional physics principles.
Area of Science:
- Physics
- Fluid Dynamics
- Acoustics
Background:
- The reflection of plane waves on surfaces follows Snell-Descartes laws (mirror reflection) for linear waves.
- This law is known to break down for nonlinear shock waves at grazing incidence angles.
Purpose of the Study:
- To provide experimental evidence of nonlinear shock wave reflection breakdown at grazing angles.
- To investigate reflection patterns for ultrasonic periodic shock waves in water at small amplitudes.
Main Methods:
- Experiments were conducted using ultrasonic periodic shock waves in water.
- Grazing angles typically ranged from 0 to 7 degrees.
- Results were compared with theoretical predictions via numerical simulations.
Main Results:
- Three distinct reflection patterns were observed, differing significantly from mirror reflection.
- Observed patterns include nonlinear regular reflection, Mach-like reflection, and cases where only the incident shock is visible.
- The study achieved measurements with amplitudes over 100 times smaller than previous experiments in air.
Conclusions:
- Experimental results confirm the breakdown of mirror reflection for nonlinear shock waves at grazing angles.
- The observed phenomena are accurately reproduced by theoretical models and numerical simulations.
- This study advances the understanding of nonlinear wave reflection in fluid dynamics.
Related Concept Videos
Shock Waves
While deriving the Doppler formula for the observed frequency of a sound wave, it is assumed that the speed of sound in the medium is greater than the source's speed through it. When this condition is breached, a shock wave occurs.
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high pressures...
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high pressures...
Echo
The human ear cannot distinguish between two sources of sound if they happen to reach within a specific time interval, typically 0.1 seconds apart. More than this, and they are perceived as separate sources.
Imagine the sound is reflected back to the ears. Assuming that the source is very close to the human, the difference between hearing the two sounds—the emitted sound and the reflected sound—may be more than the minimum time for perceiving distinct sounds. If this is the case, then the...
Imagine the sound is reflected back to the ears. Assuming that the source is very close to the human, the difference between hearing the two sounds—the emitted sound and the reflected sound—may be more than the minimum time for perceiving distinct sounds. If this is the case, then the...
Reflection of Waves
When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
Sound Waves: Interference
Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Deriving the Speed of Sound in a Liquid
As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
The speed of sound in fluids can be derived by considering a mechanical wave propagating...
The speed of sound in fluids can be derived by considering a mechanical wave propagating...

