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Hace 5 días · The goal of this guide is to give an intuitive concept of what Maxwell’s equations represent, as well as capture the beauty of the physical concepts they embody. “To see the beauty of the Maxwell theory it is necessary to move away from mechanical models and into the abstract world of fields.
Hace 2 días · This Section 2.6 discusses how Maxwell’s equations strongly constrain the behavior of electromagnetic fields at boundaries between two media having different properties, where these constraint equations are called boundary conditions.
Hace 1 día · the electric field that is fully consistent with Maxwell’s equations. It is designed such that, when applied to a scalar pulse traveling in the positive z direction close to the paraxial regime and whose spectrum is not too broadly distributed around a central frequency ω 0, the resulting vector solution resembles the scalar field times ω2 0 p.
Hace 5 días · Solving Maxwell's equations means getting function E(x, t) E ( x, t), you only wrote what they imply for a wave that at any point of space oscillates harmonically. When you solve this equation for E(x) E ( x), real and imaginary part of ϵ ϵ determines how the wave amplitude changes with x x.
Hace 4 días · Birkhoff's theorem says that the only spherically symmetric solution of Maxwell's equations is the field of a static point charge, given by the Coulomb potential.
Hace 2 días · Light waves of all frequencies travel at the same speed of light while matter wave velocity varies strongly with frequency. The relationship between frequency (proportional to energy) and wavenumber or velocity (proportional to momentum) is called a dispersion relation.
Hace 1 día · A computer algorithm to numerically solve the extended nonlinear Schrödinger equation including any higher-order derivatives that are required for systems with higher-order group velocity, frequency-dependent gain, or frequency-dependent absorption is described. This algorithm is an implicit–explicit method, which is a differential method.
