undulation

Definitions

  • WordNet 3.6
    • n undulation (physics) a movement up and down or back and forth
    • n undulation wavelike motion; a gentle rising and falling in the manner of waves
    • n undulation an undulating curve
    • ***
Webster's Revised Unabridged Dictionary
    • Undulation (Physics) A motion to and fro, up and down, or from side to side, in any fluid or elastic medium, propagated continuously among its particles, but with no translation of the particles themselves in the direction of the propagation of the wave; a wave motion; a vibration.
    • Undulation A wavy appearance or outline; waviness.
    • Undulation The act of undulating; a waving motion or vibration; as, the undulations of a fluid, of water, or of air; the undulations of sound.
    • Undulation (Mus) The pulsation caused by the vibrating together of two tones not quite in unison; -- called also beat.
    • Undulation (Mus) The tremulous tone produced by a peculiar pressure of the finger on a string, as of a violin.
    • ***
Century Dictionary and Cyclopedia
    • n undulation In playing musical instruments of the viol class, the wavy tone produced by oscillating or balancing the finger on a string that is being stopped.
    • n undulation The act of undulating; a waving motion; fluctuation; in physics, wave-motion: as, the undulations of water or air or the ether. Undulations are said to be progressive when they successively traverse the different parts of a body, as the waves of the sea; and they are said to be stationary when all the particles of a body begin their vibrations simultaneously and end them at the same instant. See wave and wave-motion.
    • n undulation A wavy form; a form resembling that of a wave or waves; waviness.
    • n undulation In pathology, a particular uneasy sensation of an undulatory motion in the heart.
    • n undulation In surgery, a certain motion of the matter of an abscess when pressed, which indicates its fitness for opening.
    • n undulation A set of waved lines; a surface so marked, or such an appearance; vermiculation; waviness.
    • n undulation In geometry, the coming of a plane curve into a higher contact than usual with its tangent without contrary flexure.
    • ***
Chambers's Twentieth Century Dictionary
    • ns Undulation an undulating: a waving motion or vibration: waviness, a set of waved lines: a feeling as if of an undulatory motion about the heart: the peculiar motion of the matter within an abscess on being pressed when it is ripe for opening
    • ***

Etymology

Webster's Revised Unabridged Dictionary
Cf. F. ondulation,
Chambers's Twentieth Century Dictionary
Low L. undulāre, -ātum—L. unda, a wave.

Usage

In literature:

Her black dress displayed her undulating and elastic figure.
"Sybil or the Two Nations" by Benjamin Disraeli
The sides undulated, so that there was no hard line.
"The Jewel of Seven Stars" by Bram Stoker
I vow if her neck had been bare one could have seen it undulate beneath the skin.
"Simon the Jester" by William J. Locke
She lay there motionless, her eyes fixed upon the water, whose undulations lapped the boat.
"Cosmopolis, Complete" by Paul Bourget
A low, rumbling sound was heard; and a sort of undulation was discernible beneath the thin cotton frock.
"Omoo: Adventures in the South Seas" by Herman Melville
Then the unthinkable high vibration slackened and became more undulating.
"Women in Love" by D. H. Lawrence
Rodriguez turned round once on the high ground and took a long look back on the green undulations of peace.
"Don Rodriguez" by Edward John Moreton Drax Plunkett, Baron, Dunsany
The country still appeared undulated to the S.E.
"Two Expeditions in the Interior of Southern Australia, Volume II" by Charles Sturt
The country was slightly undulated, and much intersected by creeks, few of which had water in them.
"Two Expeditions into the Interior of Southern Australia, Complete" by Charles Sturt
But it so chanced that they were upon what is called a rolling prairie, with its graceful undulations and gentle eminences.
"David Crockett: His Life and Adventures" by John S. C. Abbott
His undulating body was broad and thin and like the body of an eel.
"The Sea Fairies" by L. Frank Baum
And now they were in Warwickshire, county of verdant undulations and deep woods and embowered villages.
"The Fortunate Youth" by William J. Locke
Beyond was a black mass, with undulating ridge against the sky.
"Greene Ferne Farm" by Richard Jefferies
You see nothing but long, low, rolling undulations.
"Through Shot and Flame" by J. D. Kestell
He had fashioned a course of seven holes of moderate length over undulating lawns and some park-land.
"The Happy Golfer" by Henry Leach
We did not have a multitude of waves in sight, but the sea floor itself might have been undulating.
"The Sea and the Jungle" by H. M. Tomlinson
Behind the Maestro he could see a tell-tale undulation of the high grass, nearer and nearer.
"Caybigan" by James Hopper
It sweeps around from our left front, where it is lost among the undulations of the prairie.
"Campaigning with Crook and Stories of Army Life" by Charles King
Rolling, comfortably undulating hills were below us, and in front a taller, rounded one like the head of some wearied tropical giant.
"Jungle Peace" by William Beebe
Low swells and broad undulations may have existed, but no considerable prominences, and no sudden change of slope.
"The Geography of the Region about Devils Lake and the Dalles of the Wisconsin" by Rollin D. Salisbury
***

In poetry:

A highway white with dust that winds amid
An undulating stretch of breezy down,
Whose ruggedness by spreading ferns is hid—
Four miles from any town.
"Four Miles From Any Town" by David Gow
My pleasaunce was an undulating green,
Stately with trees whose shadows slept below,
With glimpses of smooth garden-beds between
Like flame or sky or snow.
"From House To House" by Christina Georgina Rossetti
The dewy tear-drops of the night may fall,
And tender morning with her shining hand
May brush them from the grasses green and tall
That undulate the land.--
"The Silent Victors" by James Whitcomb Riley
Hard by, a heath of Lauderdale,
A verdant sweep of broken lea,
Rolls into knolls from out the vale,
And undulates and swells a sea
Of billowy emerald waves.
"My Delight" by Samuel Alfred Beadle
Because of snaky things that creep
Through our soul's sea, dim-undulant,
Thou fill'st the mystery of thy deep
With faces heartless, grim, and gaunt;
That we may know how ugly seem
The things our spirit-oceans teem.
"This World" by George MacDonald
Leaf-woven ladders of ivy-wreathed vines
Fall from the rampart in undulant lines;
Silken and slender, they swing in the breeze,
Tempting the lover to clamber with ease
Up to the garden, to woo and to take
Lovely Undine away to the lake.
"Undine" by John Lawson Stoddard

In news:

As part of its Sunday brunch, Burger Continental features live music along with rapidly gyrating, undulating women decorated with coins.
Eating with one's hands can be messy, but it's also extremely sultry, especially when you're sitting on satin pillows and a voluptuous torso is undulating in front of you.
WHAT looks at first like a snake is actually an undulating colony of bungalows in a Florida swamp.
Tuesday's undulating stage has three category 3 climbs, including the final 2-mile uphill effort to the finish.
GIVE YOUR MASSEUSE hip-undulating DreamWave technology clear head.
Aqua, the undulating, 82-story structure, brings a fresh approach to skyscraper design.
It's called Flounce, but this earthy chair of undulating plywood is far from frilly.
Diénéba Seck 's wonderful piercing, undulating voice made her a fixture on Malian radio in 1991 with "Kankeletigui," creating a star almost overnight.
The trails up Horseshoe Canyon, on the north end of the Big Hole Mountains, are twisty, undulating and fun singletrack.
Alittle sad, alittle lonesome, but always hopeful, this mellow mix is sure to swallow you in its undulating sound.
GIVE YOUR MASSEUSE hip- undulating DreamWave technology clear head.
Beware the Undulating Curve of Shifting Expectations.
Smooth as Water, Strong as Steel: The Undulating Roof of London's Olympic Pool.
Summering on the Undulating Curve of Shifting Expectations.
A Final Flurry From the Undulating Curve of Shifting Expectations.
***

In science:

Here we assume that an uncorrelated relative energy spread of 1.5 MeV is already present at the entrance of the SASE undulator.
Scheme for femtosecond-resolution pump-probe experiments at XFELs with two-color ten GW-level X-ray pulses
One may also account for the linear energy chirp in the electron beam by introducing a resonance frequency-shift in the second undulator.
Scheme for femtosecond-resolution pump-probe experiments at XFELs with two-color ten GW-level X-ray pulses
After the chicane, the relative positions of radiation and electrons at the entrance of the second undulator part looks like on the right of Fig. 6.
Scheme for femtosecond-resolution pump-probe experiments at XFELs with two-color ten GW-level X-ray pulses
The right half, instead, is seeded by the radiation produced in the first part of the undulator, and will reach saturation much sooner.
Scheme for femtosecond-resolution pump-probe experiments at XFELs with two-color ten GW-level X-ray pulses
Nevertheless, 7 cells are sufficient to yield about 100 MW output (see Fig. 7), to be used as a seed in the second part of the undulator.
Scheme for femtosecond-resolution pump-probe experiments at XFELs with two-color ten GW-level X-ray pulses
Following the first undulator part, one has to model the magnetic delay.
Scheme for femtosecond-resolution pump-probe experiments at XFELs with two-color ten GW-level X-ray pulses
This is accounted for by shifting on the right the output field from the first part of the undulator 2, thus simulating a relative delay of the electron bunch.
Scheme for femtosecond-resolution pump-probe experiments at XFELs with two-color ten GW-level X-ray pulses
The field distribution obtained in this way, which is fed into the simulations for the second undulator part, is shown in Fig. 9.
Scheme for femtosecond-resolution pump-probe experiments at XFELs with two-color ten GW-level X-ray pulses
The undulations in the spectra are due to non-uniform RF electronic gain in the photodetectors amplification stages (Fig. 1(b)).
Real time demonstration of high bitrate quantum random number generation with coherent laser light
Mark. Effect of undulations on surface tension in simulated bilayers.
Biological and synthetic membranes: What can be learned from a coarse-grained description?
Statistical mechanics of membranes: Freezing, undulations, and topology fluctuations. J.
Biological and synthetic membranes: What can be learned from a coarse-grained description?
Membrane undulations driven by force fluctuations of active proteins.
Biological and synthetic membranes: What can be learned from a coarse-grained description?
The high-energy (∼10 MeV) photons from the undulator are directed onto a rotating 0.4 radiation-length Ti-alloy target ∼500 meters downstream, producing a beam of electron and positron pairs.
ILC Reference Design Report Volume 1 - Executive Summary
VFEL starting current on the undulator parameters [149].
Spontaneous and Induced Radiation by Relativistic Particles in Natural and Photonic Crystals. Crystal X-ray Lasers and Volume Free Electron Lasers (VFEL)
The frequency of the pump wave is ωw ∼ du (1−β cos(θ)), where du is the period of the magnetostatic undulator.
Spontaneous and Induced Radiation by Relativistic Particles in Natural and Photonic Crystals. Crystal X-ray Lasers and Volume Free Electron Lasers (VFEL)
***

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