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Page "Phase (waves)" ¶ 18
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phase and difference
Particle sedimentation ( and also floating, although this phenomenon is less common ) arises from a difference in the density of the dispersed and of the continuous phase.
Now, due to physical properties of interference, if two signals at a point are in phase, they add to give twice the amplitude of each signal, but if they are out of phase, they subtract and give a signal that is the difference of the amplitudes.
It is possible to obtain a qualitative understanding of many diffraction phenomena by considering how the relative phases of the individual secondary wave sources vary, and in particular, the conditions in which the phase difference equals half a cycle in which case waves will cancel one another out.
In this description, the difference in phase between waves that took different paths is only dependent on the effective path length.
The difference in phase between the two waves is determined by the difference in the distance travelled by the two waves.
If the viewing distance is large compared with the separation of the slits ( the far field ), the phase difference can be found using the geometry shown in the figure below right.
When the two waves are in phase, i. e. the path difference is equal to an integral number of wavelengths, the summed amplitude, and therefore the summed intensity is maximum, and when they are in anti-phase, i. e. the path difference is equal to half a wavelength, one and a half wavelengths, etc., then the two waves cancel and the summed intensity is zero.
Position was calculated using a hyperbolic navigation system ( multilateration ) by comparing the phase difference of the radio signals received from several fixed stations.
The phase difference between the signals received from stations A ( Master ) and B ( Slave ) is constant along each hyperbolic curve.
Each station transmitted a continuous wave signal that, by comparing the phase difference of the signals from the Master and one of the Slaves, resulted in a set of hyperbolic lines of position called a pattern.
When two stations transmit at the same phase-locked frequency, the difference in phase between the two signals is constant along a hyperbolic path.
A common misconception is that the E and B fields in electromagnetic radiation are out of phase because a change in one produces the other, and this would produce a phase difference between them as sinusoidal functions ( as indeed happens in electromagnetic induction, and in the near-field close to antennas ).
* Greg Egan has an excellent Java applet on his web site that illustrates the apparent difference in group velocity from phase velocity.
This means that the voice, as part of the music, has equal volume on both stereo channels and no phase difference.
Around the year 1900 Lord Rayleigh developed the duplex ( combination of two ) theory of human sound localization using two binaural cues, interaural phase difference ( IPD ) and interaural level difference ( ILD ) ( based on analysis of a spherical head with no external pinnae ).
There is however a difference as glass is a denser material, and this creates a difference in phase of the light passing through.
The human eye is not sensitive to this difference in phase but clever optical solutions have been thought out to change this difference in phase into a difference in amplitude ( light intensity ).

phase and is
America is now joining Europe in this `` mature '' phase of development.
And yet -- a year to a child is an eternity, and in the memory that phase of one's being -- a certain mental landscape -- will seem to have endured without beginning and without end.
Moving as he is into the phase of the campaign which demands conviction of him, he adopts a position that is morally indefensible.
In spite of the armistice negotiated by Amadee two years earlier, the war between Bishop Guillaume of Lausanne and Louis of Savoy was still going on, and although little is known about it, that little proves that it was yet another phase of the struggle against French expansion and was closely interwoven with the larger conflict.
the mere fact that he was selected, though as a substitute, to act as interlocutor or moderator for it, or perhaps we should say with Buck as ' father of the act ', is in itself a difficult phase of his development to grasp.
The basic mapping phase of the program has been completed and the inventory phase is scheduled for completion July 1, 1961.
It has been correctly pointed out by well-informed people in the industry that it is probably unrealistic to expect a continuation of the yearly growth of 15% or better that characterized the decade of the 1950's, and that our military markets may be entering upon a new phase in which procurement of multiple weapons systems will give way to concentration of still undeveloped areas of our defense capability.
The infrared emission could then be assumed to originate at the surface of the moon, while the radio emission originates at some depth beneath the surface, where the temperature variation due to solar radiation is reduced in amplitude and shifted in phase.
The result of the observations is Af where the phase angle, Q, is measured in degrees from new moon and the probable errors include absolute as well as relative errors.
Related to micelle formation is the technologically important ability of detergent actives to congregate at oil - water interfaces in such a manner that the polar ( or ionized ) end of the molecule is directed towards the aqueous phase and the hydrocarbon chain towards the oily phase.
Another great danger is that the emerging middle class will feel itself increasingly alienated from the political leaders who still justify their dominance by reference to the struggle for independence or the early phase of nationalism.
But it is worth pondering that very little has been published on any phase of field techniques in linguistics.
Let us also assume the existence of only one class or type of service, all of which is supplied at the same voltage, phase, etc. to residential, commercial, and industrial customers.
Within only a few years, foamed plastics materials have managed to grow into an integral, and important, phase of the plastics industry -- and the end is still not yet in sight.
When served in a psychological atmosphere that allows young bodies to assimilate the greatest good from what they eat because they are free from tension, a foundation is laid for a high level of health that releases the children from physical handicaps to participate with enjoyment in the work assignments, the athletic programs and the most important phase, the educational opportunities.
As for food, Mrs. Henry Louchheim, chairman of this phase, is a globetrotter who knows good food.
Mrs. Harry K. Cohen is chairman of this phase and she is getting an artistic assist from A. Van Hollander, display director of Gimbel Brothers.
This is being done so that Georgia Tech can complete the final phase of a traffic survey on the North Expressway.

phase and analogous
In addition, phase transitions in colloidal suspensions can be studied in real time using optical techniques, and are analogous to phase transitions in liquids.
However, the glass transition may be described as analogous to a second-order phase transition where the intensive thermodynamic variables such as the thermal expansivity and heat capacity are discontinuous.
* Time zones are also analogous to phase differences.
The term relative saturation is used to describe the analogous property for systems consisting of a condensable phase other than water in a non-condensable phase other than air.
* 1941 phase transition analogous to ferromagnetism in potassium dihydrogen phosphate .< ref > J. C.
A ducted internal wave mode may propagate horizontally, with parallel group and phase velocity vectors, analogous to propagation within a waveguide.
This phase is roughly analogous to the physical isolation ( kāyaviveka, Tib.
This is analogous to metastability for first-order phase transitions.
The electrostatic theory assumes just a two phase system, with dielectric particles forming chains aligned with an electric field in an analogous way to how magnetorheological fluid ( MR ) fluids work.

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