Computational Methods for Electromagnetic Phenomena

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