Maxwell's equations

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Noun1.Maxwell's equations - four differential equations that summarize classical properties of electromagnetic fields
differential equation - an equation containing differentials of a function
References in periodicals archive ?
First, the field calculation along the routes of the harnesses in absence of the wiring is performed by the means of a 3D Maxwell's equation solver.
Because the Maxwell's equation is a hyperbolic type and the heat transfer equation is parabolic type differential equations, their FDTD stability criteria are completely different from each other.
Recalling (7), Maxwell's equation in terms of the rotation tensor is given by
He explains the action approach, including its relation to Maxwell's equation and Dirac fields, then examines continuous symmetries and conservation laws, magnetostatics, multivalued fields in superfluids and superconductors, magnetic monopoles, electric charge confinement, multivalued mapping from ideal crystals to crystals with defects, defect melting, relativistic mechanics in curvilinear coordinates, torsion and curvature from defects and embedding, mutivalued mapping, field equations of gravitation, fields of integer spin, particles with half-integer spins, covariant conservation gravitation of spinning matter as a gauge theory, evanescent properties of torsion in gravity, the teleparallel theory of gravitation embedding, and emerging gravity.
In other words, Maxwell's equation of electromotive force is identical to what has become known as the Lorentz force equation for a moving unit electric charge.
He begins with a review of Maxwell's equation and discussion of the operation of antennas and antenna arrays in sufficient detail to allow for design calculations.
Inserting (67) into the second Maxwell's Equation (46) yields
International contributors report on recent developments in the analysis and numerics of Maxwell's equations of electro-dynamics, as well as computational electromagnetics and acoustics.
Two electric and two magnetic field measures are used in Maxwell's equations. If you sense a voltage difference in a circuit, you are observing the presence of an E or electric field.
'FDTD software is not based on ray tracing, but on confined field propagation algorithms that solve Maxwell's equations,' Pfisterer said.
Nevertheless, serious contraindications also arise in the framework of classical Maxwell's equations. The theoretical analysis conducted in [11] shows that, even in very elementary cases, the full set of Maxwell's equations may bring to incompatibility problems.