stationary wave

Definitions

  • WordNet 3.6
    • n stationary wave a wave (as a sound wave in a chamber or an electromagnetic wave in a transmission line) in which the ratio of its instantaneous amplitude at one point to that at any other point does not vary with time
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Usage

In literature:

I ceased waving my hand, so that the shadow remained stationary.
"The Sea-Wolf" by Jack London
The raft was not only quite stationary, but did not even rise and fall with any motion of the waves.
"The Survivors of the Chancellor" by Jules Verne
The moving light became stationary for a moment, and a faint reply floated back to them over the waves.
"The Red Eric" by R.M. Ballantyne
By Flag is meant the national emblem that waves from flag staffs and other stationary poles.
"Manual of Military Training" by James A. Moss
Of these, the waves of minimum velocity form a stationary wave nearest to the front of the body.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3" by Various
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In science:

Due to above result the Schroedinger equation with an external field can be written down through a "quantum" refraction index of medium. Conformity between electrodynamics of optical waves and electrodynamics of de Broglie waves is the most evident look for the stationary Schroedinger equation.
Interaction description from the non-linear electromagnetic theory point of view
Many other examples, such as those considered by Abenda and Fedorov in , arise naturally as stationary or travelling wave reductions of PDEs derived from Lax pairs, in particular those obtained from energy-dependent Schr¨odinger operators .
Painleve tests, singularity structure and integrability
To illustrate surprises that a quantum particle on a racetrack can offer, let us consider a wave packet of an electron in a hydrogen atom constructed from a superposition of highly excited stationary states centered at a large principal quantum number ¯n = 320 .
Zeno meets modern science
The above results would indicate that the long time autocorrelations of the DDRD and ASEP systems are similar provided that the kinematic wave in each system is stationary.
Directed diffusion of reconstituting dimers
So, one way or the other, the amplitude of the standing wave will be damped, lending stability to the stationary background solution in strong measure.
Perturbations on steady spherical accretion in Schwarzschild geometry
The energy velocity is the velocity V relative to the frame where the solution is the stationary wave between two boundaries shown in Eq.(11) (in this frame the mean value of the Poynting vector vanishes).
Testing Born-Infeld electrodynamics in waveguides
Korteweg and F. de Vries, ”On the Change of Form of Long Waves Advancing in a Rectangular Canal, and on a New Type of Long Stationary Waves.” Philos.
Multiscale expansions of difference equations in the small lattice spacing regime, and a vicinity and integrability test. I
In this way, the Gowdy waves metric is obtained as a sort of stationary gravitational wave in a cavity with perfectly reflecting walls.
Gowdy waves as a test-bed for constraint-preserving boundary conditions
In particular we show how, in the TWF-O approach the standard temporal statistics of detector clicks can be simulated with the help of an effective twocomponent wave function, based on an analogy with a spatial stationary spinorial distribution.
Crucial tests of the existence of a Time Operator
It is valid for construction not only of stationary axisymmetric fields, but also of various time-dependent fields with two commuting spatial symmetries such as colliding plane, cylindrical and some other types of waves or partially inhomogeneous cosmological models.
Reaction fronts, target patterns and spiral waves, stationary concentration patterns and chemical turbulence have been seen.
A New Type of Traveling Interface Modulations in a Catalytic Surface Reaction
We say that a solution is eventual ly noninteracting if all wave interactions end in finite time: that is, for t large enough, the solution consists of three regions, defined by outgoing backward, stationary and forward waves respectively.
Shock-free Solutions of the Compressible Euler Equations
It is well-known that the entropy is linearly degenerate and these waves are contacts which are stationary in a Lagrangian frame .
Shock-free Solutions of the Compressible Euler Equations
More generally, we can obtain stationary waves by allowing m (or z ) to vary while fixing u and p as constants: this is easily seen by direct substitution into equations (1.3).
Shock-free Solutions of the Compressible Euler Equations
U and P constants, form a stationary wave solution to (1.3).
Shock-free Solutions of the Compressible Euler Equations
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