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Computer programs that solve Maxwell's equations
Electromagnetic field solvers (or sometimes just field solvers) are specialized programs that solve (a subset of) Maxwell's equations directly. They form
Electromagnetic_field_solver
general purpose electromagnetic solver for various applications. The name is an acronym for Higher Order Basis Based Integral Equation Solver. The software
HOBBIES (electromagnetic solver)
HOBBIES_(electromagnetic_solver)
Finite element method solver for electromagnetic structures
commercial finite element method solver for electromagnetic structures from EEsof. FEM Element can perform electromagnetic simulation of arbitrarily-shaped
FEM_Element
Branch of physics
Computational electromagnetics (CEM), computational electrodynamics or electromagnetic modeling is the process of modeling the interaction of electromagnetic fields
Computational electromagnetics
Computational_electromagnetics
Magnet that creates a magnetic field through an electric current
An electromagnet is a type of magnet in which the magnetic field is produced by an electric current. Electromagnets usually consist of copper wire wound
Electromagnet
Fundamental interaction between charged particles
physics, electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields. The electromagnetic force is
Electromagnetism
Equations describing classical electromagnetism
of Electromagnetic Signals. Singapore: World Scientific. p. 17. ISBN 978-981-02-1689-4. David M Cook (2002). The Theory of the Electromagnetic Field. Mineola
Maxwell's_equations
Software for electromagnetic simulation
designed for electromagnetic simulation for the analysis and design of high-speed electronic systems. It combines an electromagnetic field solver with circuit
SPEED2000
Physical model of propagating energy
In physics, electromagnetic radiation (EMR) or an electromagnetic wave (EMW) is a self-propagating wave of the electromagnetic field that carries momentum
Electromagnetic_radiation
Process in electronic design automation
device extraction to provide a circuit for timing analysis. Electromagnetic field solver Electronic Design Automation For Integrated Circuits Handbook
Circuit_extraction
Formulations of electromagnetism
various mathematical descriptions of the electromagnetic field that are used in the study of electromagnetism, one of the four fundamental interactions
Mathematical descriptions of the electromagnetic field
Mathematical_descriptions_of_the_electromagnetic_field
Ways of writing certain laws of physics
+\mathbf {B} \cdot \mathbf {M} \,.} Covariant classical field theory Electromagnetic tensor Electromagnetic wave equation Liénard–Wiechert potential for a charge
Covariant formulation of classical electromagnetism
Covariant_formulation_of_classical_electromagnetism
Paper impregnated or coated with a conductive substance
conductive ink were commonly used as an analog two-dimensional electromagnetic field solver. Teledeltos paper is a particular type of resistance paper. "The
Resistance_paper
Disturbance in an electrical circuit due to external sources of radio waves
requirements for products to meet some level of electromagnetic compatibility (EMC) regulation. Electromagnetic interference divides into several categories
Electromagnetic_interference
Division of the U.S. Naval Surface Warfare Center
include Signal Processing, Signal Integrity (SI), and Electromagnetic Compatibility/Electromagnetic Interference (EMC/EMI) using Signal Modeling and Simulation
Naval Surface Warfare Center Crane Division
Naval_Surface_Warfare_Center_Crane_Division
Software for electromagnetic simulations
frequency-domain solver for steady-state fields and eigenmode expansion. The package was subsequently expanded to include an adjoint solver for topology optimization
Meep_(software)
(electromagnetic) simulators; Hoffmann, J.; et al. (2009). Bosse, Harald; Bodermann, Bernd; Silver, Richard M (eds.). "Comparison of electromagnetic field
Comparison of EM simulation software
Comparison_of_EM_simulation_software
Physical concept
The electromagnetic mass of a system is the contribution of electromagnetic interactions to its inertia as calculated using classical electrodynamics
Electromagnetic_mass
German electrical engineer
Testing Processes for a Commercial Electromagnetic Field Solver Package (Journal - IEEE Transactions on Electromagnetic Compatibility) FEKO Altair Engineering
Ulrich_Jakobus
Behaviour of electromagnetic fields
conditions describe the behaviour of electromagnetic fields; electric field, electric displacement field, and the magnetic field at the interface of two materials
Interface conditions for electromagnetic fields
Interface_conditions_for_electromagnetic_fields
Property of space that quantifies the magnetic influence at a given location
and electromagnetism, magnetic field is a physical property of space that quantifies the magnetic influence at a given location. Magnetic fields deflect
Magnetic_field
Physical field surrounding an electric charge
electric currents. Electric fields and magnetic fields are both manifestations of the electromagnetic field. Electromagnetism is one of the four fundamental
Electric_field
Hypothetical plane with resistivity of 376.7 ohms per square
of resistance between the conductors can be computed with 2D electromagnetic field solver methods including the relaxation method and analog methods using
Space_cloth
Partial differential equation used in physics
The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium
Electromagnetic_wave_equation
Mathematical technique used to solve a certain class of partial differential equations
trajectories of charged particles in self-consistent electromagnetic (or electrostatic) fields computed on a fixed mesh. For many types of problems,
Particle-in-cell
Regions of an electromagnetic field
The near field and far field are regions of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation
Near_and_far_field
Electromagnetic wave with oscillations perpendicular to the direction of travel
A transverse mode of electromagnetic radiation is a particular electromagnetic field pattern of the radiation in the plane perpendicular (i.e., transverse)
Transverse_mode
Type of audible sound
noise". The term "electromagnetic noise" is generally avoided as it is used in the field of electromagnetic compatibility and electromagnetic interference
Electromagnetically induced acoustic noise
Electromagnetically_induced_acoustic_noise
Numerical simulation on electromagnets
(high-frequency structure simulator) is a commercial finite element method solver for electromagnetic (EM) structures from Ansys. Engineers use Ansys HFSS primarily
Ansys_HFSS
Electromagnetism in general relativity
electromagnetic tensor of electromagnetic field is a covariant antisymmetric tensor of degree 2, which can be defined in terms of the electromagnetic
Maxwell's equations in curved spacetime
Maxwell's_equations_in_curved_spacetime
2D Eigen solver and integrates with PO/MEC, and GTD/UTD method solvers. Computational electromagnetics Remcom Incorporated 3D Electromagnetic Simulation
XFdtd
Branch of electronic design automation
(CMP), and the need to consider electro-magnetic effects using electromagnetic field solvers. The right side icons show the more traditional hierarchy of
Technology_CAD
Measure of directional electromagnetic energy flux
equation expressing conservation of electromagnetic energy, to calculate the power flow in electromagnetic fields. In Poynting's original paper and in
Poynting_vector
Application of Lagrangian mechanics to field theories
Lagrange density of electromagnetism in general relativity also contains the Einstein–Hilbert action from above. The pure electromagnetic Lagrangian is precisely
Lagrangian_(field_theory)
Phenomena related to electric charge
of the other is always induced. These variations are an electromagnetic wave. Electromagnetic waves were analysed theoretically by James Clerk Maxwell
Electricity
field theory of electromagnetism. With Albert Einstein's special relativity and the Michelson–Morley experiment, it became clear that electromagnetic
History of classical field theory
History_of_classical_field_theory
Software for designing electronic systems
estimate the performance of the completed chip. Electromagnetic field solvers, or just field solvers, solve Maxwell's equations directly for cases of interest
Electronic_design_automation
Numerical analysis technique
finite-element electromagnetics models to generally fewer than 109 electromagnetic field unknowns. FDTD models with as many as 109 field unknowns have
Finite-difference time-domain method
Finite-difference_time-domain_method
Analytical method
be computed analytically. This can be done either using a numerical mode solver, or using an approximate method such as Marcatili’s method. The method can
Marcatili's_method
Electromagnetic energy dissipated by a dielectric
component of an electromagnetic field and its reactive (lossless) counterpart. For time-varying electromagnetic fields, the electromagnetic energy is typically
Dielectric_loss
In computational electromagnetics, the scattering-matrix method (SMM) is a numerical method used to solve Maxwell's equations, related to the transfer-matrix
Scattering-matrix_method
derive the electromagnetic wave equation in his 1865 paper A Dynamical Theory of the Electromagnetic Field, showing that light is an electromagnetic wave.
History of Maxwell's equations
History_of_Maxwell's_equations
Theories proposing consciousness as an electromagnetic phenomenon
Electromagnetic theories of consciousness propose that consciousness can be understood as an electromagnetic phenomenon. Theorists differ in how they relate
Electromagnetic theories of consciousness
Electromagnetic_theories_of_consciousness
Numerical technique for bioelectromagnetic modeling
dimensionality reduction numerical technique that is used to model quasistatic electromagnetic phenomena in highly complex conducting media (targeting, e.g., the
Charge based boundary element fast multipole method
Charge_based_boundary_element_fast_multipole_method
Numerical method used to solve a Riemann problem
used as the input for the Riemann solver. Sergei K. Godunov is credited with introducing the first exact Riemann solver for the Euler equations, by extending
Riemann_solver
Computational mathematics
iterations in the solver. This method subdivides the Boundary Element mesh into different clusters and if two clusters are in each other's far field, all calculations
Multilevel fast multipole method
Multilevel_fast_multipole_method
Theoretical framework in physics
Quantum field theory naturally began with the study of electromagnetic interactions, as the electromagnetic field was the only known classical field as of
Quantum_field_theory
Foundational law of electromagnetism relating electric field and charge distributions
Covariant Representation of Integral Equations of the Electromagnetic Field". Progress in Electromagnetics Research C. 96: 109–122. arXiv:1911.11138.
Gauss's_law
Propagation delay of EM radiation (light)
In electromagnetism, an electromagnetic wave (light) in vacuum travels at a finite speed (the speed of light c). The retarded time is a wave emission time
Retarded_time
Electromagnetic projectile launcher
one of the major players in electromagnetic launchers; in 2012 it hosted the 16th International Symposium on Electromagnetic Launch Technology (EML 2012)
Railgun
Physical theory describing classical fields
The electromagnetic four-potential is defined to be Aa = (−φ, A), and the electromagnetic four-current ja = (−ρ, j). The electromagnetic field at any
Classical_field_theory
Rate of travel of electric energy
traveling through. The electromagnetic fields do not move through space. It is the electromagnetic energy that moves. The corresponding fields simply grow and
Speed_of_electricity
Physical quantities taking values at each point in space and time
a field occupies space, contains energy, and its presence precludes a classical "true vacuum". This has led physicists to consider electromagnetic fields
Field_(physics)
Law of classical electromagnetism
specifically electromagnetism, the Biot–Savart law (/ˈbiːoʊ səˈvɑːr/ or /ˈbjoʊ səˈvɑːr/) is an equation describing the magnetic field generated by a
Biot–Savart_law
the history of quantum field theory starts with its creation by Paul Dirac, when he attempted to quantize the electromagnetic field in the late 1920s. Major
History of quantum field theory
History_of_quantum_field_theory
Analogies between Maxwell's and Einstein's field equations
(1992). Causality, electromagnetic induction, and gravitation: a different approach to the theory of electromagnetic and gravitational fields. Electret Scientific
Gravitoelectromagnetism
Very weak electromagnetic fields disrupt the magnetic compass used by European robins and other songbirds, which use the Earth's magnetic field to navigate
Earth's_magnetic_field
Flow of electric charge
the surrounding electromagnetic wave to the speed of light in free space is called the velocity factor, and depends on the electromagnetic properties of
Electric_current
Electromagnetic quantum-mechanical effect in regions of zero magnetic and electric field
the electromagnetic potentials are purely mathematical constructs, that due to gauge freedom are not even unique for a given electromagnetic field. However
Aharonov–Bohm_effect
Numerical simulations of physical problems via computers
interaction of electromagnetic fields with physical objects and the environment. One subfield at the confluence between CFD and electromagnetic modelling is
Computational_physics
Vehicle propulsion using electromagnetic fields
2018-04-04. "Run Silent, Run Electromagnetic". Time. 1966-09-23. Archived from the original on January 14, 2009. "EMS-1 electromagnetic submarine on US television
Magnetohydrodynamic_drive
Elementary particle or quantum of light
of the electromagnetic field, including electromagnetic radiation such as light and radio waves, and the force carrier for the electromagnetic force.
Photon
Calculation of electric field generated by current distribution
of Moments in Electromagnetics. Chapman & Hall/CRC, 2008. ISBN 978-1-4200-6145-1 Harrington, Roger F. Time-Harmonic Electromagnetic Fields. McGraw-Hill
Electric-field integral equation
Electric-field_integral_equation
Physical theory with fields invariant under the action of local "gauge" Lie groups
Aharonov–Bohm effect Charge (physics) Coulomb gauge Electromagnetic four-potential Electromagnetic tensor Electroweak theory Fock symmetry Gauge covariant
Gauge_theory
Theory of aberrations for electronic lenses
Scherzer solved the system of Laplace equations for electromagnetic potentials assuming the following conditions: electromagnetic fields are rotationally
Scherzer's_theorem
The history of electromagnetic theory begins with ancient measures to understand atmospheric electricity, in particular lightning. People then had little
History of electromagnetic theory
History_of_electromagnetic_theory
Type of potential in electrodynamics
electromagnetic potentials for the electromagnetic field generated by time-varying electric current or charge distributions in the past. The fields propagate
Retarded_potential
Topics referred to by the same term
differential equations FEM Element, a commercial finite element method solver for electromagnetic structures from EEsof Fem Belling (born 1978), Australian jazz
FEM
Field-equations in general relativity
(expressed by the stress–energy tensor). Analogously to the way that electromagnetic fields are related to the distribution of charges and currents via Maxwell's
Einstein_field_equations
CST Microwave Studio, Asymptotic Solver Ansys HFSS SBR+, previously Delcross Savant XGTD Computational electromagnetics Ling, Hao; et al. (1989). "Shooting
Shooting_and_bouncing_rays
uniform theory of diffraction (UTD) is a high-frequency method for solving electromagnetic scattering problems from electrically small discontinuities or
Uniform_theory_of_diffraction
Numerical solution method of computational electromagnetics
eigenvalue λ is ω2). An early description of an FDTD method to solve electromagnetic eigenproblems was published by Albani and Bernardi (1974). Use a
Finite-difference frequency-domain method
Finite-difference_frequency-domain_method
Method of solving linear partial differential equations
respect to exchanging the source and field points. In frequency domain electromagnetics, this is assured by electromagnetic reciprocity. The cost of computation
Boundary_element_method
Model in computational physics
refers to solving equations of motion that describe the state of a plasma. It is generally coupled with Maxwell's equations for electromagnetic fields or Poisson's
Plasma_modeling
equations must be solved simultaneously. In Maxwell's field theory of electromagnetism, one of the most important types of an electromagnetic field are those
Monochromatic electromagnetic plane wave
Monochromatic_electromagnetic_plane_wave
Theoretical attempts to unify the forces of nature
expressing the properties of the electromagnetic field. Einstein was not alone in his attempts to unify electromagnetism and gravity; a large number of
Classical unified field theories
Classical_unified_field_theories
Closed loop path containing a magnetic flux
efficiently channel magnetic fields in many devices such as electric motors, generators, transformers, relays, lifting electromagnets, SQUIDs, galvanometers
Magnetic_circuit
Codes for electromagnetic scattering by spheres - this article list codes for electromagnetic scattering by a homogeneous sphere, layered sphere, and
Codes for electromagnetic scattering by spheres
Codes_for_electromagnetic_scattering_by_spheres
is an acronym for Electromagnetic Transients Program. It is a software tool used by power systems engineers to analyse electromagnetic transients (generically
EMTP
Electromagnetic effect of point charges
time-varying electromagnetic field for a point charge in arbitrary motion, but are not corrected for quantum mechanical effects. Electromagnetic radiation
Liénard–Wiechert_potential
Electromagnetic stress
In classical electromagnetism, the Maxwell stress tensor (named after James Clerk Maxwell) is the stress tensor of an electromagnetic field. In tensor index
Maxwell_stress_tensor
if any) is an electromagnetic disturbance in the form of waves propagated through the electromagnetic field according to electromagnetic laws." 1866 –
Timeline of electromagnetism and classical optics
Timeline_of_electromagnetism_and_classical_optics
Electrical generator that produces direct current with the use of a commutator
inventor Ányos Jedlik started experimenting with electromagnetic rotating devices which he called electromagnetic self-rotors. In the prototype of the single-pole
Dynamo
Scientific field of study
used for solving has a hard-to-find physical meaning. The final mathematical solution has an easier-to-find meaning, because it is what the solver is looking
Physics
Numerical method in computational electromagnetics
method in computational electromagnetics. It is used in computer programs that simulate the interaction of electromagnetic fields such as radio waves with
Method of moments (electromagnetics)
Method_of_moments_(electromagnetics)
Theorem in electromagnetism
(2024). Advanced Engineering Electromagnetics (3rd ed.). Wiley. Harrington, R. F. (2001). Time-Harmonic Electromagnetic Fields. Wiley-IEEE. Kinayman, N;
Surface_equivalence_principle
Physics theory
Lightwave Technology,1985 A. W. Snyder and J. D. Love, "Optical waveguide Theory", Chapman and Hall, 1983 WMM mode solver manual on couple mode theory
Coupled_mode_theory
Dimensionless number that quantifies the strength of the electromagnetic interaction
thorough quantum field theory underlying the electromagnetic coupling, the renormalization group dictates how the strength of the electromagnetic interaction
Fine-structure_constant
Process by which dust, particulates, etc. scatter light
optics ray-tracing codes available. Codes for electromagnetic scattering by spheres Codes for electromagnetic scattering by cylinders Discrete dipole approximation
Light_scattering_by_particles
Overview of and topical guide to physics
research field, applying theories and methods originally developed by physicists in order to solve problems in economics History of electromagnetism – history
Outline_of_physics
Numerical method for solving physical or engineering problems
structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. Computers are usually used to perform the calculations required
Finite_element_method
Method for computing radiation
a numerical method for computing the scattering and absorption of electromagnetic radiation by particles of arbitrary shape and composition. The method
Discrete_dipole_approximation
Semi-analytic method of computational electromagnetism
between the layers using a technique like scattering matrices. To solve for the electromagnetic modes, which are decided by the wave vector of the incident
Rigorous coupled-wave analysis
Rigorous_coupled-wave_analysis
Software for finite element analysis
releases. Abaqus/Electromagnetic, a Computational electromagnetics software application which solves advanced computational electromagnetic problems. The
Abaqus
Object that has a magnetic field
magnetic dipoles. Dipole magnet Earnshaw's theorem Electret Electromagnetic field Electromagnetism Halbach array Magnetic nanoparticles Magnetic switch Magneto
Magnet
Scientific subjects
interactions between charged particles and electromagnetic fields; and its generalization, quantum field theory. String Theory A possible candidate for
Branches_of_physics
Formulation of electromagnetic potentials
of the electromagnetic potentials. They are most often introduced in electromagnetic theory textbooks as practice problems for students to solve. There
Hertz_vector
Measure of positive and negative charges
Jack Vanderlinde (2004). "§7.1 The electric field due to a polarized dielectric". Classical Electromagnetic Theory. Springer. ISBN 978-1-4020-2699-7. Uwe
Electric_dipole_moment
Engineering software
which can be translated as "field calculations involving bodies of arbitrary shape". It is a general purpose 3D electromagnetic (EM) simulator. Feko originated
FEKO
will be transferred from the electromagnetic domain to the circuit domain where conventional SPICE-like circuit solvers can be employed to analyze the
Partial element equivalent circuit
Partial_element_equivalent_circuit
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