Computational Methods for Electromagnetic Phenomena: Electrostatics in Solvation, Scattering, and Electron Transport

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