Computational Methods for Electromagnetic Phenomena

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  • Format: Hardcover
  • Copyright: 2013-02-25
  • Publisher: Cambridge Univ Pr
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A unique and comprehensive graduate text and reference on numerical methods for electromagnetic phenomena, from atomistic to continuum scales, in biology, micro-to-optical waves, photonics, nanoelectronics and plasmas. The state-of-the-art numerical methods described include: • Statistical fluctuation formula 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 hydrodynamics transport • Vlasov-Fokker-Planck and PIC and constrained MHD transport in plasmas

Table of Contents

Electrostatics in Solvations
Dielectric constant and fluctuation formulae for molecular dynamics
Poisson-Boltzmann electrostatics and analytical approximations
Numerical methods for Poisson-Boltzmann equations
Fast algorithms for long-range interactions
Electromagnetic Scattering
Maxwell equations, potentials, and physical/artificial boundary conditions
Dyadic Green's functions in layered media
High order methods for surface electromagnetic integral equations
High order hierarchical Nedelec edge elements
Time domain methods - discontinuous Galerkin method and Yee scheme
Computing scattering in periodic structures and surface plasmons
Solving Schrdinger equations in waveguides and quantum dots
Electron Transport
Quantum electron transport in semiconductors
Non-equilibrium Green's function (NEGF) methods for transport
Numerical methods for Wigner quantum transport
Hydrodynamics electron transport and finite difference methods
Transport models in plasma media and numerical methods
Table of Contents provided by Publisher. All Rights Reserved.

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