Lectures related to Dispersion (water waves)

Explores the properties of plasma waves, focusing on dispersion, cut-off, resonance frequencies, and wave modes.

Covers spatio-temporal spectral analysis, dispersion relations, Fourier transforms, and group velocity.

Physical Meaning of Terms in Acoustic Waves

Explores the physical interpretation of terms in acoustic wave equations and the balance between wave steepening and linear dispersion.

Shallow Water Waves: Stability and Tsunamis

Explores shallow water waves, stability conditions, and tsunamis through simulations and analytical solutions.

Self-emergence of laser cavity solitons in microcombs

Explores the self-emergence of laser cavity solitons in microcombs, focusing on the role of slow nonlinearities.

Spatio-temporal Spectral Analysis: Dispersion and Envelopes

Explores wave packets, group velocity, dispersion relations, and Gaussian spectra in spatio-temporal analysis.

Gravity Waves and Instabilities

Covers perturbation theory, compressible fluids, sound waves, instabilities, energy equations, and gravity waves.

Waves in Inhomogeneous Medium

Explores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.

Shallow Water Waves: Linearization and Disturbances

Discusses the linearization of shallow water wave equations and the impact of variable depth on wave propagation velocity.

Gravity Waves: Kinematic and Dynamic Boundary Conditions

Explores kinematic and dynamic boundary conditions, dispersion relation, and velocity differences in gravity waves.

Viscous Beads Flowing Down a Vertical Fibre

Delves into the dynamics of fluid flowing down a vertical fibre, forming droplets under gravity and exhibiting various flow regimes.

Plasma Instabilities: Microinstabilities in Magnetized Plasmas

Explores kinetic effects in electrostatic instabilities in magnetized plasmas, focusing on wave-particle resonances and finite Larmor radius effects.

Supercontinuum Generation: Nonlinear Effects and Soliton Dynamics

Covers nonlinear effects in supercontinuum generation, soliton dynamics, and trends in fiber optics.

Plasma Waves in MHD Model

Covers ideal MHD waves, including the shear Alfvén wave and compressional waves with a longitudinal component.

Resonators: Coupling and Nonlinearity

Explores resonator coupling, eigenvalues, and nonlinearity origins, including built-in tension effects.

Interpretation of Wave Properties

Explores wave properties, including constant phase surfaces and field polarization, in time and frequency domains, highlighting the importance of peak speed and dispersion relation.

Wave Energy Distribution: Transverse vs Electron Plasma Waves

Explores the distribution of energy between transverse electromagnetic waves and electron plasma waves in a non-linear resonant coupling system.

Index ellipsoid: wave equation and dispersion relation

Explores the wave equation, dispersion relation, index ellipsoid, and energy conservation in dielectric media.

Dispersion in Waveguides

Explores group delay, velocity, material, and waveguide dispersion in fiber optics.