approximate wave equation

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• Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …   Wikipedia

• Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

• Cnoidal wave — US Army bombers flying over near periodic swell in shallow water, close to the Panama coast (1933). The sharp crests and very flat troughs are characteristic for cnoidal waves. In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic… …   Wikipedia

• Sine wave — Sinusoid redirects here. For the blood vessel, see Sinusoid (blood vessel). The graphs of the sine and cosine functions are sinusoids of different phases. The sine wave or sinusoid is a mathematical function that describes a smooth repetitive… …   Wikipedia

• Schrödinger equation — For a more general introduction to the topic, please see Introduction to quantum mechanics. Quantum mechanics …   Wikipedia

• Plane wave — [ real part of a plane wave travelling up.] In the physics of wave propagation (especially electromagnetic waves), a plane wave (also spelled planewave) is a constant frequency wave whose wavefronts (surfaces of constant phase) are infinite… …   Wikipedia

• Eikonal equation — The eikonal equation is a non linear partial differential equation of the form: | abla u(x)|=F(x), xin Omega subject to u| {partial Omega}=0, where Omega is an open set in mathbb{R}^n with well behaved boundary, F(x) is a function with positive… …   Wikipedia

• Mild-slope equation — Simulation of wave penetration involving diffraction and refraction into Tedious Creek, Maryland, using CGWAVE (which solves the mild slope equation). In fluid dynamics, the mild slope equation describes the combined effects of diffraction and… …   Wikipedia

• Monochromatic electromagnetic plane wave — In general relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell s theory. The precise definition of the solution is a bit complicated, but very instructive. Any exact …   Wikipedia

• Rotating wave approximation — The rotating wave approximation is an approximation used in atom optics and magnetic resonance. In this approximation, terms in a Hamiltonian which oscillate rapidly are neglected. This is a valid approximation when the applied electromagnetic… …   Wikipedia

• Huygens–Fresnel principle — Wave refraction in the manner of Huygens …   Wikipedia