wave equation

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Related to D'Alembert equation: D'Alembert's formula

wave equation

n.
1. A differential or partial differential equation used to represent wave motion.
2. The fundamental equation of wave mechanics.

wave equation

n
(General Physics) physics a partial differential equation describing wave motion. It has the form ∇2φ = (1/c2) × (∂2φ/∂t2), where ∇2 is the Laplace operator, t the time, c the speed of propagation, and φ is a function characterizing the displacement of the wave
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Noun1.wave equation - a differential equation that describes the passage of harmonic waves through a medium
differential equation - an equation containing differentials of a function
References in periodicals archive ?
In this first book of its kind, Paganin covers x-ray wave-fields in free space, including Fresnel and Fraunhofer diffraction, Kirshcoff and Rayleigh-Sommerfeld diffraction theory and partially coherent fields, x-ray interactions with matter, including wave equations in the presence of scatterers, Born series and dynamic scattering and multislice approximation, x-ray sources and their optical elements and detectors, including diffractive, reflective and refractive optical elements as will as virtual optical elements, coherent x-ray imaging including holography and phase retrieval and singular x-ray optics such as Nodal lines, domain walls and other topological phase defects and polynomial vortex solutions to the d'Alembert equation.
Maxwell's equations are recovered when the current density (2) disappears, and equation (1) reduces to the d'Alembert equation.
It appears worth to note here that Posch-Teller periodic potential can be derived from conformal D'Alembert equations [10, p.