Searches , social queries for ELECTRIC FIELD-INTEGRAL-EQUATION
Search references for ELECTRIC FIELD-INTEGRAL-EQUATION. Phrases containing ELECTRIC FIELD-INTEGRAL-EQUATION
See searches and references containing ELECTRIC FIELD-INTEGRAL-EQUATION!
Search references for ELECTRIC FIELD-INTEGRAL-EQUATION. Phrases containing ELECTRIC FIELD-INTEGRAL-EQUATION
See searches and references containing ELECTRIC FIELD-INTEGRAL-EQUATION!ELECTRIC FIELD-INTEGRAL-EQUATION
Calculation of electric field generated by current distribution
The electric-field integral equation is a relationship that allows the calculation of an electric field (E) generated by an electric current distribution
Electric-field integral equation
Electric-field_integral_equation
Numerical method in computational electromagnetics
specialized equations. For surface problems, common integral equation formulations include electric field integral equation (EFIE), magnetic field integral equation
Method of moments (electromagnetics)
Method_of_moments_(electromagnetics)
Equations with an unknown function under an integral sign
analysis, integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral equations may thus
Integral_equation
Equations describing classical electromagnetism
Maxwell's equations are a set of coupled partial differential equations that describe how electric and magnetic fields are generated by electric charges
Maxwell's_equations
Foundational law of electromagnetism relating electric field and charge distributions
Maxwell's equations. It is an application of the divergence theorem, and it relates the distribution of electric charge to the resulting electric field. In
Gauss's_law
Term in mathematics
differential equation or vector field. In physics, integral curves for an electric field or magnetic field are known as field lines, and integral curves for
Integral_curve
Concept in classical electromagnetism
law to account for time-varying electric currents by introducing the displacement current term. The resulting equation, often called the Ampère–Maxwell
Ampère's_circuital_law
Physical theory describing classical fields
set of integral equations known as retarded potentials allow one to calculate V and A from ρ and J, and from there the electric and magnetic fields are determined
Classical_field_theory
Vector field related to displacement current and flux density
physics, the electric displacement field (denoted by D), also called electric flux density, is a vector field that appears in Maxwell's equations. It accounts
Electric_displacement_field
Line integral of the electric field
Electric potential, also known as the electrostatic potential or electric field potential, is a field of scalar quantities through space, often denoted
Electric_potential
Elliptic partial differential equation
gravitational (force) field. It is a generalization of Laplace's equation, which is also frequently seen in physics. The equation is named after French
Poisson's_equation
Equation describing the transport of some quantity
flow. A continuity equation is the mathematical way to express this kind of statement. For example, the continuity equation for electric charge states that
Continuity_equation
Basic law of electromagnetism
Maxwell–Faraday equation, one of Maxwell's equations, which states that a time-varying magnetic field is always accompanied by a circulating electric field. This
Faraday's_law_of_induction
Measure of electric field through surface
is known as Gauss's law for electric fields in its integral form and it is one of Maxwell's equations. While the electric flux is not affected by charges
Electric_flux
Substance-specific relation between two physical quantities
electric field, or in structural analysis, the connection between applied stresses or loads to strains or deformations. Some constitutive equations are
Constitutive_equation
Branch of physics about magnetism in systems with steady electric currents
equations separate into two equations for the electric field (see electrostatics) and two for the magnetic field. The fields are independent of time and
Magnetostatics
Damping of electric fields
In physics, screening is the damping of electric fields caused by the presence of mobile charge carriers. It is an important part of the behavior of charge-carrying
Electric-field_screening
Operation in calculus
portal Integral equation – Equations with an unknown function under an integral sign Integral symbol – Mathematical symbol used to denote integrals and antiderivatives
Integral
Property of space that quantifies the magnetic influence at a given location
magnetic field is a physical property of space that quantifies the magnetic influence at a given location. Magnetic fields deflect moving electric charges
Magnetic_field
Study of still or slow electric charges
stationary electric charges on macroscopic objects where quantum effects can be neglected. Under these circumstances, the electric field, electric potential
Electrostatics
Law of classical electromagnetism
/ˈbjoʊ səˈvɑːr/) is an equation describing the magnetic field generated by a constant electric current. It relates the magnetic field to the magnitude, direction
Biot–Savart_law
Eigenvalue problem for the Laplace operator
equation for the electric field. The equation is named after Hermann von Helmholtz, who studied it in 1860. The Helmholtz equation often arises in the
Helmholtz_equation
Branch of theoretical physics
{r}})} is the electric potential, and C is the path over which the integral is being taken. This definition has a caveat. From Maxwell's equations, it is clear
Classical_electromagnetism
Description of a quantum-mechanical system
the path integral formulation, developed chiefly by Richard Feynman. When these approaches are compared, the use of the Schrödinger equation is sometimes
Schrödinger_equation
Internal magnetic field generated by a magnet
demagnetizing field Hd is the gradient of this potential (equation 4). The energy of the demagnetizing field is completely determined by an integral over the
Demagnetizing_field
Equation in physics
the screened Poisson equation is a Poisson equation, which arises in (for example) the Klein–Gordon equation, electric field screening in plasmas, and
Screened_Poisson_equation
Second-order partial differential equation
imaginary part is the stream function. According to Maxwell's equations, an electric field (u, v) in two space dimensions that is independent of time satisfies
Laplace's_equation
Emission of electrons induced by an electrostatic field
also be regarded as a form of field emission. Field emission in pure metals occurs in high electric fields: the gradients are typically higher than 1 gigavolt
Field_electron_emission
Foundational law of classical magnetism
magnetism is one of the four Maxwell's equations that underlie classical electrodynamics. It states that the magnetic field B has divergence equal to zero, in
Gauss's_law_for_magnetism
Relativistic wave equation in quantum mechanics
problems that are only resolved in quantum field theory, where the equation describes the dynamics of spin-0 fields. Mathematically, it is a linear second-order
Klein–Gordon_equation
Computer program for antenna modeling
of moments solution of the electric field integral equation (EFIE) for thin wires and the magnetic field integral equation (MFIE) for closed, conducting
Numerical Electromagnetics Code
Numerical_Electromagnetics_Code
For a large class of boundary conditions, all solutions have the same gradient
this means that there is a unique electric field derived from a potential function satisfying Poisson's equation under the boundary conditions. The general
Uniqueness theorem for Poisson's equation
Uniqueness_theorem_for_Poisson's_equation
Formulations of electromagnetism
several approaches are discussed, although the equations are in terms of electric and magnetic fields, potentials, and charges with currents, generally
Mathematical descriptions of the electromagnetic field
Mathematical_descriptions_of_the_electromagnetic_field
Surface integral of the magnetic field
magnetic flux through a surface is the surface integral of the normal component of the magnetic field B over that surface. It is usually denoted Φ or
Magnetic_flux
Formulation of classical mechanics
In physics, the Hamilton–Jacobi equation, named after William Rowan Hamilton and Carl Gustav Jacob Jacobi, is an alternative formulation of classical mechanics
Hamilton–Jacobi_equation
Production of voltage by a varying magnetic field
direction of the induced field. Faraday's law was later generalized to become the Maxwell–Faraday equation, one of the four Maxwell equations in his theory of
Electromagnetic_induction
Electromagnetism in general relativity
In physics, Maxwell's equations in curved spacetime govern the dynamics of the electromagnetic field in curved spacetime (where the metric may deviate
Maxwell's equations in curved spacetime
Maxwell's_equations_in_curved_spacetime
Force acting on charged particles in electric and magnetic fields
magnetic field, as described by Faraday's law of induction. Together with Maxwell's equations, which describe how electric and magnetic fields are generated
Lorentz_force
Relativistic quantum mechanical wave equation
In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including
Dirac_equation
Physical quantity in electromagnetism
of the electric displacement field D, appearing as ∂D/∂t in Maxwell's equations. Displacement current density has the same units as electric current
Displacement_current_density
Rate at which electrical energy is transferred by an electric circuit
simple equation P = IV may be replaced by a more complex calculation. The closed surface integral of the cross-product of the electric field intensity
Electric_power
Definite integral of a scalar or vector field along a path
object moving through an electric or gravitational field F along a path L {\displaystyle L} . In qualitative terms, a line integral in vector calculus can
Line_integral
Branch of physics
targets of arbitrary geometry. The formulation is based on integral form of Maxwell equations. The DDA is an approximation of the continuum target by a
Computational electromagnetics
Computational_electromagnetics
Behaviour of electromagnetic fields
interface conditions for the electromagnetic field vectors can be derived from the integral forms of Maxwell's equations. n 12 × ( E 2 − E 1 ) = 0 {\displaystyle
Interface conditions for electromagnetic fields
Interface_conditions_for_electromagnetic_fields
Method of solution to differential equations
integral. Whenever the integral of f {\displaystyle f} with G {\displaystyle G} converges, then the solution to the inhomogeneous equation, L y = f {\displaystyle
Green's_function
Line integral of the fluid velocity around a closed curve
the electric or the magnetic field. The term circulation was introduced by William Thomson (later Lord Kelvin) in 1869 to denote the line integral of velocity
Circulation_(physics)
Stochastic differential equation
abbreviation for its time integral. The general mathematical term for equations of this type is "stochastic differential equation". Another mathematical
Langevin_equation
Integral transform useful in probability theory, physics, and engineering
differential equations and dynamical systems by replacing ordinary differential equations and integral equations with algebraic polynomial equations, and by
Laplace_transform
Closed loop path containing a magnetic flux
circuits are employed to efficiently channel magnetic fields in many devices such as electric motors, generators, transformers, relays, lifting electromagnets
Magnetic_circuit
Theoretical framework in physics
the relationship between the electric field, the magnetic field, electric current, and electric charge. Maxwell's equations implied the existence of electromagnetic
Quantum_field_theory
Theorem in physics showing the conservation of energy for the electromagnetic field
power density of the field doing work on charges (J is the current density corresponding to the motion of charge, E is the electric field, and ⋅ is the dot
Poynting's_theorem
Vector field describing the density of electric dipole moments in a dielectric material
density (or electric polarization, or simply polarization) is the vector field that expresses the volumetric density of permanent or induced electric dipole
Polarization_density
Analogy used to study vector fields
a vector field originates or terminates. This analogy is usually invoked when discussing the continuity equation, the divergence of the field and the divergence
Sources_and_sinks
Optical filter
matrix equation as (Scott [1989]): This is the i-th row of the electric field integral equation (EFIE) for a free-standing metallic FSS. Equation (2.4.2)
Frequency_selective_surface
Differential equation for the description of waves or standing wave
The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves
Wave_equation
Equations describing behavior of a model
Maxwell-Faraday equation for induced electric field Ampére-Maxwell equation for induced magnetic field Gauss equation for electric flux Gauss equation for magnetic
Governing_equation
Mathematical equation describing the motion of a rocket
The classical rocket equation, Tsiolkovsky rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that
Tsiolkovsky_rocket_equation
Generalization of the Nernst equation for the membrane potential
The Goldman–Hodgkin–Katz voltage equation, sometimes called the Goldman equation, is used in cell membrane physiology to determine the resting potential
Goldman_equation
Vector basis functions
(2008). "A Mulitiplicative Calderon Preconditioner for the Electric Field Integral Equation". IEEE Transactions on Antennas and Propagation. 56 (8): 2398–2412
Raviart–Thomas basis functions
Raviart–Thomas_basis_functions
Quantity in electromagnetism
used to specify the electric field E as well. Therefore, many equations of electromagnetism can be written either in terms of the fields E and B, or equivalently
Magnetic_vector_potential
Electrically insulating substance able to be polarised by an applied electric field
that can be polarised by an applied electric field. When a dielectric material is placed in an electric field, electric charges do not flow through the material
Dielectric
Phenomena related to electric charge
an electric charge. Electricity is related to magnetism, both being part of the phenomenon of electromagnetism, as described by Maxwell's equations. Common
Electricity
Characteristic property of holomorphic functions
Cauchy–Riemann equations are two partial differential equations that characterize differentiability of complex functions. The equations are and where u(x
Cauchy–Riemann_equations
Electric charge per unit length, area or volume
the continuity equation for electric current, and also in Maxwell's Equations. It is the principal source term of the electromagnetic field; when the charge
Charge_density
Equations that describe the behavior of a physical system
particles in electric and magnetic fields, the Lorentz force is the general equation which serves as the definition of what is meant by an electric field and magnetic
Equations_of_motion
classical equations. Defining equation (physical chemistry) List of electromagnetism equations List of equations in classical mechanics List of equations in
List of equations in gravitation
List_of_equations_in_gravitation
Measure of positive and negative charges
moment. When it comes time to calculate the electric field in some region containing the array, Maxwell's equations are solved, and the information about the
Electric_dipole_moment
Mathematical concept applicable to physics
"surface integral of electric flux" and "surface integral of magnetic flux", in which case "electric flux" would instead be defined as "electric field" and
Flux
Vector field that is the gradient of some function
conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property that its line integral is path independent;
Conservative_vector_field
Near-field diffraction
In optics, the Fresnel diffraction equation for near-field diffraction is an approximation of the Kirchhoff–Fresnel diffraction that can be applied to
Fresnel_diffraction
Set of quasilinear hyperbolic equations governing adiabatic and inviscid flow
energy. The energy equation is an integral form of the Bernoulli equation in the compressible case. The former mass and momentum equations by substitution
Euler equations (fluid dynamics)
Euler_equations_(fluid_dynamics)
Amount of charge flowing through a unit cross-sectional area per unit time
Maxwell's equations, since absence of this term would not predict electromagnetic waves to propagate, or the time evolution of electric fields in general
Current_density
Combination of the diffusion and convection (advection) equations
convection–diffusion equation is a parabolic partial differential equation that combines the diffusion and convection (advection) equations. It describes physical
Convection–diffusion_equation
Numerical technique for bioelectromagnetic modeling
approximately 1 billion) number of unknowns. The charge-based BEM solves an integral equation of the potential theory written in terms of the induced surface charge
Charge based boundary element fast multipole method
Charge_based_boundary_element_fast_multipole_method
Physical quantities taking values at each point in space and time
set of integral equations known as retarded potentials allow one to calculate V and A from ρ and J, and from there the electric and magnetic fields are determined
Field_(physics)
Action of a massive abelian gauge field
specifically field theory and particle physics, the Proca action describes a massive spin-1 field of mass m in Minkowski spacetime. The corresponding equation is
Proca_action
Equation used for physiological interfaces, polymer science, and semiconductors
The Poisson–Boltzmann equation describes the distribution of the electric potential in solution in the presence of one or more charged surfaces. This
Poisson–Boltzmann_equation
Potential energy that results from conservative Coulomb forces
the line integral above does not depend on the specific path C chosen but only on its endpoints. This happens in time-invariant electric fields. When talking
Electric_potential_energy
Quantum mechanical equation of motion of charged particles in magnetic field
Lévy-Leblond equation. For a particle of mass m {\displaystyle m} and electric charge q {\displaystyle q} , in an electromagnetic field described by the
Pauli_equation
Device for trapping charged particles
proportional to the electric field strength and is confined radially. Working specifically with a linear Paul trap, we can write more specific equations of motion
Ion_trap
Value for the flow of probability in quantum mechanics
(flow per unit area). Here, equating the terms inside the integral gives the continuity equation for probability: ∂ ∂ t ρ ( r , t ) + ∇ ⋅ j = 0 , {\displaystyle
Probability_current
Degree of polarization
applied electric field. The greater the electric susceptibility, the greater the ability of a material to polarize in response to the field, and thereby
Electric_susceptibility
Scientific law regarding conservation of a physical property
\otimes } denotes the outer product. Conservation equations can usually also be expressed in integral form: the advantage of the latter is substantially
Conservation_law
Fundamental physical law of electromagnetism
by Jefimenko's equations, which describe the electric field and magnetic fields generated by time-dependent distributions of electric charge and current
Coulomb's_law
Partial differential equations
the Green's function for the three-variable Laplace equation can be given as a Fourier integral cosine transform of the difference of vertical heights
Green's function for the three-variable Laplace equation
Green's_function_for_the_three-variable_Laplace_equation
Quantum field theory
Wolfgang Pauli formulated a six-dimensional theory of Einstein's field equations of general relativity, extending the five-dimensional theory of Theodor
Yang–Mills_theory
View of quantum mechanics
interpretation of this equation. This approach is called the 'differential' and 'field' approach by Schwinger, as opposed to the 'integral' and 'particle' approach
Interaction_picture
Procedure of coping with redundant degrees of freedom in physical field theories
space/time asymmetric Heaviside notation. The electric field E and magnetic field B of Maxwell's equations contain only "physical" degrees of freedom, in
Gauge_fixing
Assignment of a vector to each point in a subset of Euclidean space
differential and integral calculus extend naturally to vector fields. When a vector field represents force, the line integral of a vector field represents the
Vector_field
Topics referred to by the same term
Schrödinger equation) Non-linear sigma model, description of a field that takes on values in a nonlinear target manifold in quantum field theory Nonlinear
Nonlinearity_(disambiguation)
includes a field strength G0, called the Romans mass. Being a zero-form, it has no corresponding connection. Furthermore, the equations of motion impose
Ramond–Ramond_field
Fundamental principle of physics
Maxwell's equations imply that the (possibly time-varying) distributions of charges and currents are related to the electric and magnetic fields by a linear
Superposition_principle
Difference in electric potential between two points in space
difference, electric pressure, or electric tension, is the difference in electric potential between two points. In a static electric field, it corresponds
Voltage
Fm and atomic number 100. Fermionic field Thomas–Fermi model approximation Thomas–Fermi model Thomas–Fermi equation Thomas–Fermi screening, an approximate
List of things named after Enrico Fermi
List_of_things_named_after_Enrico_Fermi
Focused beam with lossless energy
focus ions in flight, which is accomplished through manipulation of the electric field in the path of the ions. The electrostatic potential in the lens is
Einzel_lens
Lowest possible energy of a quantum system or field
without any "external" field acting on it. the role of the external field in the above equation is played by the vacuum electric field acting on the dipole
Zero-point_energy
Gauge fixing of electro magnetic potential
{\partial \mathbf {A} }{\partial t}}.} This gives a well known equation for the electric field: E = − ∇ φ − ∂ A ∂ t . {\displaystyle \mathbf {E} =-\nabla
Lorenz_gauge_condition
Electromagnetic effect of point charges
moving electric point charge in terms of a vector potential and a scalar potential in the Lorenz gauge. Stemming directly from Maxwell's equations, these
Liénard–Wiechert_potential
Distance an aircraft can fly between takeoff and landing
aircraft potential energy, and pilot endurance. Therefore, the range equation can only be calculated exactly for powered aircraft. It will be derived
Range_(aeronautics)
Quantum mechanics taking into account particles near or at the speed of light
quantum dynamics of charged particles in electromagnetic fields. The key result is the Dirac equation, from which these predictions emerge automatically. By
Relativistic quantum mechanics
Relativistic_quantum_mechanics
travel, tourism, insurance
ELECTRIC FIELD-INTEGRAL-EQUATION
ELECTRIC FIELD-INTEGRAL-EQUATION
ELECTRIC FIELD-INTEGRAL-EQUATION
ELECTRIC FIELD-INTEGRAL-EQUATION
ELECTRIC FIELD-INTEGRAL-EQUATION
ELECTRIC FIELD-INTEGRAL-EQUATION
ELECTRIC FIELD-INTEGRAL-EQUATION
ELECTRIC FIELD-INTEGRAL-EQUATION
ELECTRIC FIELD-INTEGRAL-EQUATION
travel, tourism, insurance