Lectures related to Multipole expansion

Light Scattering by a Sphere

Explores light scattering by a sphere using vector spherical harmonics and Cartesian multipoles to analyze the radiation pattern.

Multipole Expansion in Electrostatics and Magnetostatics

Explores multipole expansion in electrostatics and magnetostatics, focusing on monopole, dipole, and higher-order moments, and their mathematical representations.

Magnetostatics: Forces, Energy, and Inductance

Explores magnetic forces, energy, inductance, and the magnetic dipole moment in circuits.

Electrostatics: Multipole Expansion

Explores the multipole expansion for electrostatics, focusing on monopole, dipole, and quadrupole moments.

Multipole Expansion in Electrodynamics

Explores multipole expansion in Electrodynamics, covering Maxwell Equations, EM Potentials, Lorenz Gauge, and Magnetization.

Capacitance and Dielectrics: Beyond Dipole Moments

Explores electric fields of neutral materials and the multiple expansion terms.

Electric Fields and Gauss's Law

Explores charges in electric fields, electron optics, electric dipoles, Gauss's law, conductors, insulators, and the Gauss's divergence theorem.

Accelerator Technology and Instrumentation

Explores advanced concepts in particle accelerators, including magnets, novel techniques, instrumentation, optimization, diagnostics, safety measures, storage rings, and synchrotron light monitors.

Multipole Expansion in Electrostatics and Magnetostatics

Covers the concept of multipole expansion in electrostatics and magnetostatics, discussing Maxwell equations and magnetic moments.

Electric Dipole Moments

Explains electric dipole orientation, multipoles, and field calculations in molecules.

Dielectric Materials and Electric Dipole Moments

Covers dielectric materials, electric dipole moments, potential functions, and dipole alignment in electric fields.

Green Functions and Electrostatics

Explores Green functions, complex analysis, and electrostatics, including EM waves and residue theorem.

Linear Dynamics: Hamiltonians and Machine Elements

Explores Hamiltonians for machine elements, focusing on drift space, magnets, and linear maps.

Symmetry and Group Theory

Covers symmetry operations, isomorphic representations, and point groups in molecules.

Magnetic Scattering: Pairwise Little Group and Pairwise Helicity

Explores magnetic scattering, focusing on pairwise little group and helicity, constructing the S-matrix and analyzing multi-particle representations.

Uncertainty Quantification for Coarse-Grained Molecular Dynamics

Delves into uncertainty quantification in molecular dynamics, focusing on aerospace materials, modeling decisions, and coarse-grained dynamics.

Crystal Structures of Organic Molecules: Insights and Implications

Covers the crystal structures of organic molecules and their implications for solubility and electronic properties.

Maxwell's Equations in Materials

Discusses constitutive relations, charges in materials, dipolar moments, and induced polarizations within closed surfaces.

Random Velocity Fields

Explores random velocity fields, discussing moments, correlation, and statistical symmetries.