Transverse mode instability

On Transverse Mode Coupling Instability in VLHC

Transverse instability of dunes.

The simplest type of dune is the transverse one, which propagates with invariant profile orthogonally to a fixed wind direction. Here we show, by means of numerical simulations, that transverse dunes are unstable with respect to along-axis perturbations in their profile and decay on the bedrock into barchan dunes. Any forcing modulation amplifies exponentially with growth rate determined by the...

Transverse instability of transverse-magnetic solitons and nonlinear surface plasmons.

We analyze stability of the TM polarized optical solitons and nonlinear guided waves localized at a metal-dielectric interface. We demonstrate, both analytically and numerically, that the spatial solitons can experience vectorial transverse modulational instability that leads to the generation of arrays of two-dimensional TM polarized self-trapped localized beams. In a sharp contrast, we reveal...

Oscillatory transverse instability Oscillatory transverse instability of interfacial waves in horizontally oscillating flows

We present the results of an experimental investigation into the stability of steep interfacial waves in two immiscible liquid layers subject to horizontal oscillations. Two-dimensional waves, which arise beyond a critical forcing speed Vc (product of forcing frequency and amplitude), can in turn lose stability to oscillatory transverse amplitude modulations with a near sub-harmonic response at...

Transverse Mode Coupling Instability in the Sps: Headtail Simulations and Moses Calculations

Since 2003, single bunches of protons with high intensity (~ 1.2 10 protons) and low longitudinal emittance (~ 0.2 eVs) have been observed to suffer from heavy losses in less than one synchrotron period after injection at 26 GeV/c in the CERN Super Proton Synchrotron (SPS) when the vertical chromaticity is corrected (ξy ~ 0). Understanding the mechanisms underlying this instability is crucial t...