Gurudas Ganguli’s research while affiliated with United States Naval Research Laboratory and other places

The generation mechanism for ion acoustic solitons due to speeding orbital debris in warm isothermal ionospheric plasma with the background magnetic field oriented at an arbitrary angle to the debris trajectory is analyzed. It is found that the fluctuations in the floating potential, which the debris acquires due to charging, can be amplified into growing ion acoustic waves by plasma streaming onto the debris. Normally, the ion acoustic fluctuations are ion Landau damped in the ionosphere because their phase speed matches the acoustic speed for equal ion and electron temperatures. However, in the debris frame, the plasma streams with an inhomogeneous velocity profile. The velocity shear in the streaming ions can overcome Landau damping by effectively increasing the wave phase speed by a factor proportional to the product of the shear and the wave normal angle, causing the Landau resonance to match the velocities of the tail of the distribution rather than the core. Consequently, the fluctuations can grow to sufficiently large amplitudes even in an isothermal plasma and trigger nonlinear effects resulting in ion acoustic solitons. For debris motion at an angle to the magnetic field, unique signatures are generated by the combination of coherent and incoherent processes—both along and across the magnetic field directions. These may be exploited for distinguishing between debris-generated soliton signatures and those arising due to natural causes and thereby facilitate positive identification of the orbital debris.

Satellite data analysis of a compressed gyro-scale current sheet prior to magnetic reconnection in the magnetotail shows that electrostatic lower hybrid waves localized to the region of a transverse ambipolar electric field at the centre of the current sheet are driven by $\boldsymbol{E} \times \boldsymbol{B}$ velocity shear and result from compression. The presence and location of shear-driven waves around the centre of the current sheet, where the magnetic field reverses and the density gradient is minimal, is consistent with our model. This is notable because the free energy source is the curvature of the electron $\boldsymbol{E} \times \boldsymbol{B}$ flow and not the density gradient. Laboratory experiments and particle-in-cell (PIC) simulations have shown that shear-driven lower hybrid fluctuations are capable of producing anomalous cross-field transport (viscosity) and resistivity, which can trigger magnetic reconnection. We estimate the terms in the generalized Ohm's Law directly from MMS data as the spacecraft cross a gyro-scale current sheet. Our analysis shows that the wave effects (resistivity, diffusion and viscosity) and pressure anisotropy effects are comparable. We also find that the quasi-static electric field gradient is correlated with a non-gyrotropic electron distribution function, which is consistent with our model. Furthermore, theoretical arguments suggest agyrotropy is an indicator of the possibility for magnetic reconnection to occur.

Turbulent plasmas in space, laboratory experiments, and astrophysical domains can often be described by weak turbulence theory, which can be characterized as a broad spectrum of incoherent interacting waves. We investigate a fundamental nonlinear kinetic mechanism of weak turbulence that can explain the generation of whistler waves in homogeneous plasmas by nonlinear scattering of short wavelength electrostatic lower-hybrid (LH) waves. Two particle-in-cell (PIC) simulations with different mass ratios in two dimensions (2D) were performed using a ring ion velocity distribution to excite broadband LH waves. The wave modes evolve in frequency, and wavenumber space such that the LH waves are converted to whistler waves. The simulations show the formation of quasi-modes, which are low-frequency density perturbations driven by the ponderomotive force due to the beating of LH and whistler waves. These low-frequency oscillations are damped due to resonant phase matching with thermal plasma particles. By comparing the phase and thermal speeds, we confirm the nonlinear scattering mechanism and its role in the 2D evolution of the ring ion instability. Although the nonlinear scattering is theoretically slower in 2D than in 3D due to the absence of the vector nonlinearity, these simulations show that quasi-modes are an important diagnostic for nonlinear landau damping in PIC simulations that has not been utilized in the past. The nonlinear scattering mechanism described here plays an important role in the generation of whistler waves in active experiments, which will be experimentally studied in the upcoming Space Measurement of a Rocket Release Turbulence experiment.

The synchronization of dust acoustic waves to an external periodic source is studied in the framework of a driven Korteweg–de Vries–Burgers equation that takes into account the appropriate nonlinear and dispersive nature of low-frequency waves in a dusty plasma medium. For a spatiotemporally varying source term, the system is shown to demonstrate harmonic (1:1) and superharmonic (1:2) synchronized states. The existence domains of these states are delineated in the form of Arnold tongue diagrams in the parametric space of the forcing amplitude and forcing frequency and their resemblance to some past experimental results is discussed.

Releasing diffuse artificial clouds into the space environment using a rocket or spacecraft can modify the natural plasma state. This uses space itself as a laboratory for studying plasma phenomena that cannot be reproduced on the ground. The Space Measurement of A Rocket‐released Turbulence (SMART) mission will inject a beam of barium neutral vapor into the ionosphere and perpendicular to the Earth's magnetic field. Barium atoms will be photoionized, forming an ion ring distribution that is unstable to lower hybrid waves. Large amplitude lower hybrid waves nonlinearly scatter to whistler and magnetosonic waves that can propagate out to the magnetosphere. This paper details the theory, modeling, and simulation we used to design this release experiment to optimize the energy in the plasma waves under a variety of constraints. A product of this analysis is quantitative predictions for some in situ and remote measurements. Hydrocode simulations of barium vapourization and acceleration via shaped charge provide the initial state of the neutral beam. We optimize the apogee, orientation, and position of the payload and instruments. Cloud dynamics are simulated with a direct simulation Monte Carlo technique, which includes photoionization with metastable barium states, collisions with the neutral background atmosphere, optical line emission, gravity, and electromagnetic forces. We predict the plasma density measured by the instrument payload and the remotely measured optical intensity. We also examine how the plasma wave growth differs at the measurement location compared to the bulk of the barium cloud.