Wei Cai's Computational Methods for Electromagnetic Phenomena: PDF

By Wei Cai

A different and complete graduate textual content and reference on numerical equipment for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nanoelectronics and plasmas. The state of the art numerical equipment defined comprise:


• Statistical fluctuation formulae for the dielectric constant

• Particle-Mesh-Ewald, Fast-Multipole-Method and image-based response box technique for long-range interactions

• High-order singular/hypersingular (Nyström collocation/Galerkin) boundary and quantity vital equipment in layered media for Poisson-Boltzmann electrostatics, electromagnetic wave scattering and electron density waves in quantum dots

• soaking up and UPML boundary stipulations

• High-order hierarchical Nédélec facet parts

• High-order discontinuous Galerkin (DG) and Yee finite distinction time-domain tools

• Finite point and aircraft wave frequency-domain tools for periodic constructions

• Generalized DG beam propagation technique for optical waveguides

• NEGF(Non-equilibrium Green's functionality) and Wigner kinetic tools for quantum transport

• High-order WENO and Godunov and relevant schemes for hydrodynamic delivery

• Vlasov-Fokker-Planck and PIC and restricted MHD shipping in plasmas

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Download e-book for iPad: Computational Methods for Electromagnetic Phenomena: by Wei Cai

A distinct and complete graduate textual content and reference on numerical tools for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nanoelectronics and plasmas. The cutting-edge numerical tools defined comprise: • Statistical fluctuation formulae for the dielectric consistent • Particle-Mesh-Ewald, Fast-Multipole-Method and image-based response box approach for long-range interactions • High-order singular/hypersingular (Nyström collocation/Galerkin) boundary and quantity critical tools in layered media for Poisson-Boltzmann electrostatics, electromagnetic wave scattering and electron density waves in quantum dots • soaking up and UPML boundary stipulations • High-order hierarchical Nédélec facet parts • High-order discontinuous Galerkin (DG) and Yee finite distinction time-domain tools • Finite aspect and airplane wave frequency-domain tools for periodic constructions • Generalized DG beam propagation strategy for optical waveguides • NEGF(Non-equilibrium Green's functionality) and Wigner kinetic equipment for quantum delivery • High-order WENO and Godunov and imperative schemes for hydrodynamic shipping • Vlasov-Fokker-Planck and PIC and limited MHD delivery in plasmas

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

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1990). The zero limit of g = 0 was suggested by Grycuk (2003), resulting in a simpler function, fij = 2 + R R . 5(Ri + Rj ) exp[−2rij /(Ri + Rj )], which also has a better performance than the original one for the spherical case (Lee, Salsbury, & Olson, 2004). 2 Integral expression for Born radii In the GB models, a Coulomb field approximation (CFA) (Bashford & Case, 2000) was used. 55) 38 PB electrostatics and analytical approximations even for dielectrics outside the solute molecule varying from i to o during the solvation process.

99) In the 3-D case, the function f (x, y, z) is the indicator function of the solute molecule. Therefore, Nx , Ny , and Nz should be large enough such that the boundary of the solute molecule is well resolved on the Nx Ny Nz -lattice grid to ensure a prescribed accuracy in the Fourier transform. 3 Method of images for reaction fields Image methods with virtual charges were first used by Lord Kelvin in the nineteenth century to represent the polarization field of dielectric materials (Thomson, 1884).

4) i where nji (r) denotes the number concentration per unit volume of the i-type ions around the selected j-ion. 5) where n0i is the number density of the i-type ions in the bulk, and gij (r) → 1 as r → ∞. The function gij (r) is the radial distribution between two types of ions, where 4πr2 gij (r)dr gives the probability of finding an i-type ion in the shell of [r, r +dr] surrounding the j-ion. , by a Boltzmann factor weighted integration over all other ion and charge positions in phase space (Hill, 1987, sect.

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