Overview

A unique and comprehensive graduate text and reference on numerical methods for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nanoelectronics and plasmas.

Numerical Methods Covered

The state-of-the-art numerical methods described include:

• Statistical fluctuation formulae for the dielectric constant
• Particle-Mesh-Ewald, Fast-Multipole-Method and image-based reaction field method for long-range interactions
• High-order singular/hypersingular (Nyström collocation/Galerkin) boundary and volume integral methods in layered media for Poisson–Boltzmann electrostatics, electromagnetic wave scattering and electron density waves in quantum dots
• Absorbing and UPML boundary conditions
• High-order hierarchical Nédélec edge elements
• High-order discontinuous Galerkin (DG) and Yee finite difference time-domain methods
• Finite element and plane wave frequency-domain methods for periodic structures
• Generalized DG beam propagation method for optical waveguides
• NEGF (Non-equilibrium Green's function) and Wigner kinetic methods for quantum transport
• High-order WENO and Godunov and central schemes for hydrodynamic transport
• Vlasov-Fokker-Planck and PIC and constrained MHD transport in plasmas