Shock parameter calculations at weak interplanetary shock waves

Large‐amplitude electrostatic waves observed at a supercritical interplanetary shock

[1] We present the first observations at an interplanetary shock of large‐amplitude (> 100 mV/m pk‐pk) solitary waves and large‐amplitude (∼30 mV/m pk‐pk) waves exhibiting characteristics consistent with electron Bernstein waves. The Bernstein‐like waves show enhanced power at integer and half‐integer harmonics of the cyclotron frequency with a broadened power spectrum at higher frequencies, co...

Caustics of weak shock waves

The caustics of weak shock waves are studied through matched asymptotic expansions. It is shown that these caustics are thinner and more intense than those of smooth waves with a comparable amplitude. This difference in scalings solves a paradox that would have the caustics of weak shock waves behave linearly, even though linear theory for discontinuous fronts predicts infinite amplitudes near ...

The focusing of weak shock waves

This paper reports an experimental investigation, using shadowgraphs and pressure measurements, of the detailed behaviour of converging weak shock waves near three different kinds of focus. Shocks are brought to a focus by reflecting initially plane fronts from concave end walls in a large shock tube. The reflectors are shaped to generate perfect foci, ar6tes and caustics. It is found that, nea...

Attenuation of Weak Shock Waves in Liquids

Nonlinear Fresnel diffraction of weak shock waves.

Fresnel diffraction at a straight edge is revisited for nonlinear acoustics. Considering the penumbra region as a diffraction boundary layer governed by the KZ equation and its associated jump relations for shocks, similarity laws are established for the diffraction of a step shock, an "N" wave, or a periodic sawtooth wave. Compared to the linear case described by the well-known Fresnel functio...