Listing 1 - 4 of 4 |
Sort by
|
Choose an application
Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to produce any useful results. In the 1960s and 1970s, emphasis was placed on asymptotic techniques, which produced approximations of the fields for very high frequencies when closed-form solutions were not feasible. Later, when computers demonstrated explosive progress, numerical techniques were utilized to develop approximate results of controllable accuracy for arbitrary geometries. In this Special Issue, the most recent advances in the aforementioned approaches are presented to illustrate the state-of-the-art mathematical techniques in electromagnetics.
cubic-quartic Schrödinger equation --- cubic-quartic resonant Schrödinger equation --- parabolic law --- wave field transformation --- finite difference method --- Cole–Cole model --- Monte Carlo simulations --- percolation --- conductivity --- carbon nanotubes composite --- optical parametric amplification --- non-linear wave mixing --- micro-resonator --- optimization --- MRI system --- birdcage coil --- birdcage configurations --- coil capacitance --- analytical solution --- equivalent circuit modelling --- T-matrix theory --- 3D-EM simulation --- small volume RF coil --- method of auxiliary sources (MAS) --- electromagnetic scattering --- wedge --- numerical methods --- accuracy --- coil gun --- reluctance --- electromagnetic launcher --- mechatronics --- electronics --- mechanics --- simulation --- RoboCup --- magnetic field strength --- magnetic flux density --- magnetic potential --- current density --- power transmission line --- electromagnetic modelling --- integral formulation --- skin effect --- thin shell approach --- mutual inductance --- finite element method --- partial element equivalent circuit method --- magnetite nanoparticles --- Mie scattering theory --- near infrared laser --- photothermal therapy --- bioheat transfer --- diffusion approximation --- Arrhenius integral --- breast cancer --- air-core pulsed alternator --- electromagnetic rail launcher --- coupled analysis --- computational electromagnetics --- integral formulations --- n/a --- cubic-quartic Schrödinger equation --- cubic-quartic resonant Schrödinger equation --- Cole-Cole model
Choose an application
Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to produce any useful results. In the 1960s and 1970s, emphasis was placed on asymptotic techniques, which produced approximations of the fields for very high frequencies when closed-form solutions were not feasible. Later, when computers demonstrated explosive progress, numerical techniques were utilized to develop approximate results of controllable accuracy for arbitrary geometries. In this Special Issue, the most recent advances in the aforementioned approaches are presented to illustrate the state-of-the-art mathematical techniques in electromagnetics.
History of engineering & technology --- cubic-quartic Schrödinger equation --- cubic-quartic resonant Schrödinger equation --- parabolic law --- wave field transformation --- finite difference method --- Cole-Cole model --- Monte Carlo simulations --- percolation --- conductivity --- carbon nanotubes composite --- optical parametric amplification --- non-linear wave mixing --- micro-resonator --- optimization --- MRI system --- birdcage coil --- birdcage configurations --- coil capacitance --- analytical solution --- equivalent circuit modelling --- T-matrix theory --- 3D-EM simulation --- small volume RF coil --- method of auxiliary sources (MAS) --- electromagnetic scattering --- wedge --- numerical methods --- accuracy --- coil gun --- reluctance --- electromagnetic launcher --- mechatronics --- electronics --- mechanics --- simulation --- RoboCup --- magnetic field strength --- magnetic flux density --- magnetic potential --- current density --- power transmission line --- electromagnetic modelling --- integral formulation --- skin effect --- thin shell approach --- mutual inductance --- finite element method --- partial element equivalent circuit method --- magnetite nanoparticles --- Mie scattering theory --- near infrared laser --- photothermal therapy --- bioheat transfer --- diffusion approximation --- Arrhenius integral --- breast cancer --- air-core pulsed alternator --- electromagnetic rail launcher --- coupled analysis --- computational electromagnetics --- integral formulations --- cubic-quartic Schrödinger equation --- cubic-quartic resonant Schrödinger equation --- parabolic law --- wave field transformation --- finite difference method --- Cole-Cole model --- Monte Carlo simulations --- percolation --- conductivity --- carbon nanotubes composite --- optical parametric amplification --- non-linear wave mixing --- micro-resonator --- optimization --- MRI system --- birdcage coil --- birdcage configurations --- coil capacitance --- analytical solution --- equivalent circuit modelling --- T-matrix theory --- 3D-EM simulation --- small volume RF coil --- method of auxiliary sources (MAS) --- electromagnetic scattering --- wedge --- numerical methods --- accuracy --- coil gun --- reluctance --- electromagnetic launcher --- mechatronics --- electronics --- mechanics --- simulation --- RoboCup --- magnetic field strength --- magnetic flux density --- magnetic potential --- current density --- power transmission line --- electromagnetic modelling --- integral formulation --- skin effect --- thin shell approach --- mutual inductance --- finite element method --- partial element equivalent circuit method --- magnetite nanoparticles --- Mie scattering theory --- near infrared laser --- photothermal therapy --- bioheat transfer --- diffusion approximation --- Arrhenius integral --- breast cancer --- air-core pulsed alternator --- electromagnetic rail launcher --- coupled analysis --- computational electromagnetics --- integral formulations
Choose an application
Based on a seminar sponsored by the Institute for Advanced Study in 1977-1978, this set of papers introduces micro-local analysis concisely and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary values of elliptic partial differential equations, propagation of singularities in the vicinity of degenerate characteristics, holonomic systems, Feynman integrals from the hyperfunction point of view, and harmonic analysis on Lie groups.
Mathematical analysis --- Differential geometry. Global analysis --- 517.98 --- -Advanced calculus --- Analysis (Mathematics) --- Algebra --- Functional analysis and operator theory --- Addresses, essays, lectures --- Mathematical analysis. --- Addresses, essays, lectures. --- -517.1 Mathematical analysis --- 517.98 Functional analysis and operator theory --- -Functional analysis and operator theory --- -517.98 Functional analysis and operator theory --- 517.1 Mathematical analysis --- 517.1. --- 517.1 --- Addition. --- Analytic function. --- Analytic manifold. --- Asymptotic analysis. --- Bernhard Riemann. --- Boundary value problem. --- Bounded operator. --- Cartan subgroup. --- Characterization (mathematics). --- Class function (algebra). --- Closed-form expression. --- Codimension. --- Cohomology. --- Compact space. --- Comparison theorem. --- Contact geometry. --- Continuous function. --- Continuous linear operator. --- Convex hull. --- Cotangent bundle. --- D-module. --- Degenerate bilinear form. --- Diagonal matrix. --- Differentiable manifold. --- Differential operator. --- Dimension (vector space). --- Dimension. --- Elliptic partial differential equation. --- Equation. --- Existence theorem. --- Fourier integral operator. --- Generic point. --- Group theory. --- Harmonic analysis. --- Holomorphic function. --- Holonomic. --- Homogeneous space. --- Hyperfunction. --- Hypersurface. --- Identity element. --- Irreducible representation. --- Killing form. --- Lagrangian (field theory). --- Lie algebra. --- Lie group. --- Linear differential equation. --- Locally compact space. --- Masaki Kashiwara. --- Maximal ideal. --- Monodromy. --- Natural number. --- Neighbourhood (mathematics). --- Ordinary differential equation. --- Orthogonal complement. --- Partial differential equation. --- Path integral formulation. --- Proper map. --- Pseudo-differential operator. --- Regularity theorem. --- Sigurdur Helgason (mathematician). --- Submanifold. --- Subset. --- Summation. --- Symmetric space. --- Symplectic geometry. --- Tangent cone. --- Theorem. --- Topological space. --- Vector bundle. --- Victor Guillemin. --- Weyl group. --- Analyse microlocale
Choose an application
Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc.). Originally, rigorous analytical techniques were the only machinery available to produce any useful results. In the 1960s and 1970s, emphasis was placed on asymptotic techniques, which produced approximations of the fields for very high frequencies when closed-form solutions were not feasible. Later, when computers demonstrated explosive progress, numerical techniques were utilized to develop approximate results of controllable accuracy for arbitrary geometries. In this Special Issue, the most recent advances in the aforementioned approaches are presented to illustrate the state-of-the-art mathematical techniques in electromagnetics.
History of engineering & technology --- cubic-quartic Schrödinger equation --- cubic-quartic resonant Schrödinger equation --- parabolic law --- wave field transformation --- finite difference method --- Cole–Cole model --- Monte Carlo simulations --- percolation --- conductivity --- carbon nanotubes composite --- optical parametric amplification --- non-linear wave mixing --- micro-resonator --- optimization --- MRI system --- birdcage coil --- birdcage configurations --- coil capacitance --- analytical solution --- equivalent circuit modelling --- T-matrix theory --- 3D-EM simulation --- small volume RF coil --- method of auxiliary sources (MAS) --- electromagnetic scattering --- wedge --- numerical methods --- accuracy --- coil gun --- reluctance --- electromagnetic launcher --- mechatronics --- electronics --- mechanics --- simulation --- RoboCup --- magnetic field strength --- magnetic flux density --- magnetic potential --- current density --- power transmission line --- electromagnetic modelling --- integral formulation --- skin effect --- thin shell approach --- mutual inductance --- finite element method --- partial element equivalent circuit method --- magnetite nanoparticles --- Mie scattering theory --- near infrared laser --- photothermal therapy --- bioheat transfer --- diffusion approximation --- Arrhenius integral --- breast cancer --- air-core pulsed alternator --- electromagnetic rail launcher --- coupled analysis --- computational electromagnetics --- integral formulations --- n/a --- cubic-quartic Schrödinger equation --- cubic-quartic resonant Schrödinger equation --- Cole-Cole model
Listing 1 - 4 of 4 |
Sort by
|