Description

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. 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