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Topic: Standing wave

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	Standing Waves
		The behavior of the waves at the points of minimum and maximum vibrations (nodes and antinodes) contributes to the constructive interference which forms the resonant standing waves.
		The term standing wave is often applied to a resonant mode of an extended vibrating object.
		The standing waves associated with resonance in air columns have been discussed mainly in terms of the displacement of air in the columns.
	hyperphysics.phy-astr.gsu.edu /hbase/waves/standw.html (601 words)

	Standing wave ratio - Wikipedia, the free encyclopedia
		In telecommunication, standing wave ratio (SWR) is the ratio of the amplitude of a partial standing wave at an antinode (maximum) to the amplitude at an adjacent node (minimum).
		To understand the standing wave ratio in detail, we need to calculate the voltage (or, equivalently, the electrical field strength) at any point along the transmission line at any moment in time.
		where A is the amplitude of the forward wave, ω is its angular frequency and k is a constant (equal to ω divided by the speed of the wave).
	en.wikipedia.org /wiki/Standing_wave_ratio (797 words)

	[No title]
		Standing waves are a phenomenon of interference between two traveling waves of the same wavelength moving in opposite directions.
		Typically, a traveling wave is generated at one end of a linear system, and the oppositely moving traveling wave is obtained by reflection at the other end, only to be reversed again by reflection when it reaches the sending end.
		Remember that a standing wave appears stationary to the naked eye - although there is obvious motion in the wave, the profile or shape of the wave does not change.
	www.physics.rutgers.edu /ugrad/labs/standing.html (1595 words)

	The Physics Classroom
		Standing waves are produced whenever two waves of identical frequency interfere with one another while traveling opposite directions along the same medium.
		Standing wave patterns are characterized by certain fixed points along the medium which undergo no displacement.
		In conclusion, standing wave patterns are produced as the result of the repeated interference of two waves of identical frequency while moving in opposite directions along the same medium.
	www.physicsclassroom.com /mmedia/waves/swf.html (465 words)

	Standing Sound Waves
		Standing sound waves in a pipe, open at one end and closed at the other end, differ from standing waves on a string.
		For standing sound waves, the wave medium is typically air, and the waves themselves are longitudinal, corresponding to regions of compression and rarefaction of the air.
		We add a node to the standing wave pattern of the third harmonic, and demand that the nodes and antinodes are evenly spaced along the length of the tube.
	hep.physics.indiana.edu /~rickv/Standing_Sound_Waves.html (953 words)

	Standing Waves and Wind Instruments (Site not responding. Last check: 2007-09-18)
		It's pretty easy to see why the standing waves on a string can only have certain lengths; since the ends of the strings are held in place, there has to be a node in the wave at each end.
		In fact, the waves that "fit" the tube are the ones that have antinodes at the open end, so the air is in fact rushing back and forth there, causing waves (at the same frequency as the standing wave) that are not trapped in the instrument but can go out into the room.
		Any standing wave with a displacement antinode at both ends is allowed, but the lower harmonics are usually the easiest to play and the strongest harmonics in the timbre.
	cnx.rice.edu /content/m12589/latest (2568 words)

	POEMS- Wave Glossary: Practical Ocean Energy Management Systems, Inc. (Site not responding. Last check: 2007-09-18)
		Transtidal waves are generated by the pull of the moon and the sun as the disturbing force.
		Standing wave: The wave form appears to oscillate in one place; standing waves are the product of two progressive waves moving in opposite directions.
		Wind waves initially formed by the action of wind blowing over the sea surface are characterised by a range of heights, periods and wave lengths.
	www.poemsinc.org /waveglossary.html (2402 words)

	Standing Waves by John Newgard - Surfing Vancouver Island ..... cold water surfing in Canada
		It is quite feasible to locate and surf a rideable standing wave, providing a great means of staying in touch with your board during the spring/summer doldrums.
		Most surfers would be able to recognize a suitable standing wave, as it is similar in appearance to a progressive wave, i.e.
		This part feels just like catching a "normal" progressive wave, the only difference being that, though you and the wave have roughly the same relative speed as when you're paddling into a progressive wave, you happen to be moving toward the wave and the wave is standing still.
	www.surfingvancouverisland.com /surf/newgard/waves.htm (1169 words)

	The Physics Classroom
		This sine wave pattern continues to move in uninterrupted fashion until it encounters another wave along the medium or until it encounters a boundary with another medium.
		It is possible however to have a wave confined to a given space in a medium and still produce a regular wave pattern which is readily discernible amidst the motion of the medium.
		The standing wave pattern which is shown at the right is just one of many different patterns which could be produced within the rope.
	www.physicsclassroom.com /Class/waves/U10L4a.html (826 words)

	manual_10
		To show that standing waves can be set up in a string and in an air column, to determine the velocity of a standing wave, and to understand the differences between transverse and longitudinal waves.
		A standing wave is produced by superposing two similar (same frequency and wavelength) traveling waves, moving in opposite directions.
		EXPERIMENT: The waves in the setup for this part of the lab are made by a small loudspeaker inside a clear plastic tube and attached to a sine wave (function) generator.
	www.physics.rutgers.edu /~jackph/2001f/manual_10/manual_10.html (803 words)

	Reflection of Waves from Boundaries
		Waves also carry energy and momentum, and whenever a wave encounters an obstacle, they are reflected by the obstacle.
		This reflection of waves is responsible for echoes, radar detectors, and for allowing standing waves which are so important to sound production in musical instruments.
		When a wave encounters a boundary which is neither rigid (hard) nor free (soft) but instead somewhere in between, part of the wave is reflected from the boundary and part of the wave is transmitted across the boundary.
	www.kettering.edu /~drussell/Demos/reflect/reflect.html (820 words)

	Surface tension Floater clustering in a standing wave : Nature (Site not responding. Last check: 2007-09-18)
		Here we show that drifting small particles concentrate in either the nodes or antinodes of a standing wave, depending on whether they are hydrophilic or hydrophobic, as a result of a surface-tension effect that violates Archimedes' law of buoyancy.
		Standing wave patterns are characterized by certain points that undergo no vertical displacement (nodes).
		Objects floating on such a wave should simply oscillate with the fluid, but an analysis of the interplay between gravity and capillarity shows that a net force acts on small particles floating between nodes and antinodes on a standing wave on a horizontal water surface (see supplementary information).
	www.nature.com /nature/journal/v435/n7045/full/4351045a.html (1098 words)

	Lively Standing Wave (Site not responding. Last check: 2007-09-18)
		The gist of the phenomenon is simple: as soon as we create a difference in frequencies, then the standing wave disappears, but, instead, we have to deal with energy transfer (current) in the direction of the oscillator with the lower frequency.
		As soon as the velocity of the observer coincides with that of energy transfer, he observes a fairly normal standing wave moving parallel together with him.
		This means that a lively standing wave can be observed in the only case: if the velocity of the observer coincides with the velocity of its motion in space.
	www.keelynet.com /spider/b-111e.htm (228 words)

	What's New? (Site not responding. Last check: 2007-09-18)
		Standing Wave is a free-standing novel which can be read alone or as the second written and second published (but last, in overall story arc) of the loose troika of books that make up the Tetragrammaton series.
		Standing Wave continues the exploration of good/evil, madness/sanity already seen to a lesser degree in Lightpaths.
		Standing Wave explores the impermanence of the changes wrought by the flashing of Jiro's "Light" into the universe.
	www.howardvhendrix.com /standwave.html (332 words)

	Agilent Technologies \| Educator's Corner - Resource Guide for Engineering Educators \| Wave Propagation along a ... (Site not responding. Last check: 2007-09-18)
		But the amplitude of the resultant waveform, indicated by the standing wave (green), is not constant along the entire line because the transmitted and reflected signals (yellow and blue) combine.
		The sine wave at point z4 would also be of constant amplitude, but its amplitude would differ from that of the signal at point z6.
		The VSWR, or Voltage Standing Wave Ratio, is the ratio of the highest amplitude signal to the lowest amplitude signal, as measured along the transmission line.
	www.educatorscorner.com /index.cgi?CONTENT_ID=2483 (601 words)

	Standing Wave Ensemble
		Standing Wave is an ensemble of five exceptional musicians who perform contemporary music with virtuosity and style.
		Standing Wave’s self-titled CD features new works written especially for the group by Canadian composers in a variety of styles, ranging from the evocative, blues-reminiscent the earth for you a Standing place by Bradshaw Pack to the playful Farandole II by Jacqueline Leggatt to the thrilling ride of Stark Raving by John Korsrud.
		Standing Wave has toured nationally with concerts in Montreal, Ottawa, London and Toronto and is heard frequently on CBC Radio.
	www.standingwave.ca (332 words)

	standing wave -- Encyclopædia Britannica
		In the case of waves moving in the same direction, interference produces a travelling wave; for oppositely moving waves,...
		A freestanding wave may arise in an enclosed or nearly enclosed basin as a free swinging or sloshing of the whole water mass.
		Such a standing wave is also called a seiche, after the name given to the oscillating movements of the water of Lake Geneva, Switz., where this phenomenon first was studied seriously.
	www.britannica.com /eb/article-9069401 (749 words)

	Standing Waves and Musical Instruments (Site not responding. Last check: 2007-09-18)
		You may have noticed an interesting thing in the animation of standing waves: there are spots where the water goes up and down a great deal, and other spots where the water level doesn't seem to move at all.
		Of course, to really trap the waves, the container would have to be the perfect size for their wavelength, so that waves bouncing back at each end would also reinforce each other instead of interfering with each other and cancelling each other out.
		The standing waves in these carefully-shaped-and-sized idiophones - for example, the blocks on a xylophone - produce pitched tones, but again, the patterns of standing waves in these instruments are a little too complicated for this discussion.
	cnx.rice.edu /content/m12413/latest (2201 words)

	Standing Wave (Site not responding. Last check: 2007-09-18)
		Standing Wave's reading of Derive is bright and almost ecstatic, not weighed down by the millions of institutional francs showered upon the Boulez troupe.
		Standing Wave delivers crunch and emotive contour, leaving the earlier recording - which did not involve the composer directly - sounding limp and unfocused.
		Standing Wave is vital to any collection founded on love and curiosity.
	www.spoolmusic.com /standingwaveinfo.htm (279 words)

	Standing Waves (Site not responding. Last check: 2007-09-18)
		The two gray waves are moving in opposite directions, as if they are just bouncing back and forth.
		The red wave is the "sum" of the two gray waves as they interfere with each other.
		The points on the red wave that don't even move up and down are called "nodes" and those are the cold spots in your microwave.
	www.colorado.edu /physics/2000/microwaves/standing_wave1.html (226 words)

	Physics 128 Lecture: Standing Waves
		The power of a sound wave is proportional to the amplitude of the wave squared,and the frequency of the wave squared.
		The intensity I of a wave, or the power per unit area, is the rate at which energy is transported by the wave through a unit area A perpendicular to the direction of travel of the wave.
		The intensity of a periodic sound wave is proportional to the square of the amplitude and the square of the frequency of the wave.
	www.cord.edu /dept/physics/p128/lecture99_35.html (994 words)

	Standing Wave Animations
		In each case the fundamental waves are in fl and the superposition is shown in blue.
		The superposition of two continuous sinusoids of identical wavelength and velocity, but with amplitudes in the ratio of 2 to 1 combining to yield a "Standing Wave Ratio" of 3 to 1.
		Energy is transported from each side toward the center of the pattern where the two amplitudes are equal and the wave becomes stationary.
	www.csupomona.edu /~ajm/materials/animations/stwaves.html (247 words)

	Standing Wave I (Site not responding. Last check: 2007-09-18)
		Standing waves occur when the wave medium is truncated spatially.
		For example, in string musical instruments (piano, guitar, etc.), strings are clamped at both ends and waves are confined in between the clamps through multiple reflections.
		Animations below show formation of standing waves when a sinusoidal wave is completely reflected at a fixed boundary (left) and at a free boundary (right).
	physics.usask.ca /~hirose/ep225/stw.htm (141 words)

	Standing Waves on a String
		The fundamental vibrational mode of a stretched string is such that the wavelength is twice the length of the string.
		The velocity of a traveling wave in a stretched string is determined by the tension and the mass per unit length of the string.
		When the wave relationship is applied to a stretched string, it is seen that resonant standing wave modes are produced.
	hyperphysics.phy-astr.gsu.edu /hbase/waves/string.html (358 words)

	Standing_Wave (Site not responding. Last check: 2007-09-18)
		For example, if a string is stretched between two supports so that a wave sent down its length is reflected completely and sent back again in the opposite direction, a standing wave will result.
		Standing waves can be likewise observed in columns as well as in plates, rods and diaphragms that are parts of percussion instruments, and therefore constitute an important feature of musical instruments and other
		Standing waves are commonly set up in rooms by low frequency sounds with long wavelengths.
	www.sfu.ca /sonic-studio/handbook/Standing_Wave.html (211 words)

	Superposition of Waves
		The movie at left shows two gaussian wave pulses are travelling on a string, one is moving to the right, the other is moving to the left.
		Two waves (with the same amplitude, frequency, and wavelength) are travelling in the same direction on a string.
		If two sinusoidal waves having the same frequency (wavelength) and the same amplitude are travelling in opposite directions in the same medium then, using superposition, the net displacement of the medium is the sum of the two waves.
	www.kettering.edu /~drussell/Demos/superposition/superposition.html (776 words)

	Strings, standing waves and harmonics (Site not responding. Last check: 2007-09-18)
		The red line is their sum: the red wave is what happens when the two travelling waves add together (superpose is the technical term), so the red wave is what we would actually see in a photograph - the blue and green are the two waves that are interacting.
		For instance the string with length L could have a standing wave with wavelength twice as long as the string (wavelength = 2L) as shown in the first sketch in the next series.
		For a wave, the frequency is the ratio of the speed of the wave to the length of the wave: f = v/wavelength.
	www.phys.unsw.edu.au /~jw/strings.html (3397 words)

	Wagner Research Laboratory (Site not responding. Last check: 2007-09-18)
		These waves also seem to provide a template or pattern for the development of all life and thus life developed in spite of the fundamental second law of thermodynamics.
		I hypothesize that the sun (or planets) is oscillating with a period close to that of the sunspot cycle (different for the planets) and producing its own standing wave pattern.
		For example the solar system is stable because a standing wave pattern produced by the sun's oscillation is always in place with a tendency to hold ordinary matter (like the planets) at nodes.
	www.chatlink.com /~oedphd/cosmology/article.html (3635 words)

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