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Topic: Electromagnetic wave equation

	Electromagnetic wave equation - Wikipedia, the free encyclopedia
		The electromagnetic wave equation derives from Maxwell's equations.
		The electromagnetic wave equation is modified in two ways, the derivative is replaced with the covariant derivative and a new term that depends on the curvature appears.
		Theoretical and experimental justification for the Schrödinger equation
	en.wikipedia.org /wiki/Electromagnetic_wave_equation (1836 words)

	SatMet - The Electromagnetic Spectrum
		The wavelength of an electromagnetic wave is the distance between wave crests.
		The other property used to describe every wave is the wave amplitude which is one half the height from the peak of a crest to the lowest point of the wave.
		The distance between wave crests is measured in terms of a micrometer or micron (abbreviated µm).
	cimss.ssec.wisc.edu /satmet/modules/spectrum/wavelength.html (302 words)

	Categories of Waves (Site not responding. Last check: 2007-10-10)
		One way to categorize waves is on the basis of the direction of movement of the individual particles of the medium relative to the direction which the waves travel.
		While waves which travel within the depths of the ocean are longitudinal waves, the waves which travel along the surface of the oceans are referred to as surface waves.
		At the location where the wave is introduced into the medium, the particles which are displaced from their equilibrium position always moves in the same direction as the source of the vibration.
	www.glenbrook.k12.il.us /gbssci/phys/Class/waves/u10l1c.html (1550 words)

	The Transverse Electromagnetic Wave
		The basic transverse electromagnetic wave, as shown to the left, involves both a varying electric field and a varying magnetic field, appearing at right angles to each other and to the direction of travel of the wave.
		Beyond that, the electromagnetic wave is generated or emitted over time, so a different part of the wave is not only at a different physical location, it was also created at a different time.
		The relationship between the electric and magnetic fields in the wave is also in keeping with the phase relationship between voltage and current in a transmission line and in any antenna system — the signal voltage (which produces the electric field) and the signal current (producing the magnetic field) are in quadrature.
	www.play-hookey.com /optics/transverse_electromagnetic_wave.html (1100 words)

	Electromagnetic waves
		Not all EM waves are sinusoidal plane waves, but all electromagnetic waves can be viewed as a linear superposition of sinusoidal plane waves traveling in arbitrary directions.
		When electromagnetic waves travel through a medium, the speed of the waves in the medium is v = c/n, where n is the index of refraction of the medium.
		Electromagnetic waves with longer wavelengths and lower frequencies include infrared light, microwaves, and radio and television waves.
	electron9.phys.utk.edu /phys135d/modules/m10/emwaves.htm (837 words)

	Light as a Wave
		Thus, the period of any wave, measured as some amount of time per cycle, is in fact the time interval that corresponds to the physical wavelength of the signal.
		The frequency of the wave is the inverse or reciprocal of the period.
		The wave theory of light was happily adopted and accepted until it was found to fail to explain some observed and measured phenomena, in consistent and repeatable experiments.
	www.play-hookey.com /optics/light_as_wave.html (1189 words)

	Olympus Microscopy Resource Center: Physics of Light and Color - Basic Electromagnetic Wave Properties: Interactive ...
		Electromagnetic radiation is characterized by a broad range of wavelengths and frequencies, each associated with a specific intensity (or amplitude) and quantity of energy.
		An electromagnetic wave moves or propagates in a direction that is at right angles to the vibrations of both the electric and magnetic oscillating field vectors, carrying energy from its radiation source to undetermined final destination.
		The standard unit for all electromagnetic radiation is the magnitude of the wavelength (in a vacuum), which is usually reported in terms of nanometers for the visible light portion of the spectrum.
	www.olympusmicro.com /primer/java/wavebasics (823 words)

	Electromagnetic wave (Site not responding. Last check: 2007-10-10)
		The matter is that in usual crystals with reduction of length of a wave of elastic waves up to a constant lattice speed of their propagation by virtue of clearing deformations of ionic units of a lattice should decrease up to zero.
		Their electromagnetic nature is established only at an alpha and beta decay of nucleus on absence of deviations in strong magnetic fields.
		Have received the wave equation with a stream of a magnetic induction, not resorting to change of the form of record of Maxwell equations.
	www.mrelativity.net /Papers/4/Rykov.htm (2487 words)

	Rapid seabed imaging by frequency domain electromagnetic migration (Site not responding. Last check: 2007-10-10)
		Electromagnetic migration has important features in common with seismic migration, but differs in that, for geoelectrical problems, electromagnetic migration is done on the basis of Maxwell's equations, while in the seismic case it is based on the wave equation.
		Electromagnetic migration, similar to seismic migration, is based on a special form of downward continuation of the observed field or one of its components.
		This downward continuation is obtained as the solution of the boundary value problem in the lower half-space for the adjoint Maxwell's equations, in which the boundary values of the migration field on the earth's surface are determined by the observed EM data.
	www.mines.utah.edu /~wmcemi/appls/Rapidseabedimaging/index.html (1132 words)

	Quantum Mechanics 1
		When Born showed that the solution of Schrodinger's wave equation could be interpreted as a non-observable object used only as an intermediary to calculate relative probabilities of the various allowed outcomes of an experiment, and when Bohr and Heisenberg solidified this interpretation (the so-called "Copenhagen interpretation") Schrödinger objected strongly.
		Whatever the correct wave equation might be, it should contain the relations between wave and particle properties that seem to apply for particles (or waves) moving freely through space.
		Solutions of the wave equation in the e-m case are the E and B fields of the wave.
	www.phy.duke.edu /courses/100/lectures/QM1/QM1.html (1249 words)

	PlanetMath: wave equation
		The wave equation is a partial differential equation which describes all kinds of waves.
		The general solution of the one-dimensional wave equation can be obtained by a change of variables
		This is version 4 of wave equation, born on 2002-11-21, modified 2003-05-21.
	planetmath.org /encyclopedia/WaveEquation.html (141 words)

	Electromagnetic waves
		The speed of any electromagnetic waves in free space is the speed of light c.
		When an electromagnetic wave travels through free space, Maxwell's equations require that at every instant and at any point the ratio of the electric to the magnetic field in SI units is equal to the speed of light, E/B = c.
		Electromagnetic waves with shorter wavelengths and higher frequencies include ultraviolet light, x-rays, and gamma rays.
	electron9.phys.utk.edu /optics421/modules/m1/emwaves.htm (1063 words)

	Clyde Davenport's Hypercomplex Electromagnetic Theory Page (Site not responding. Last check: 2007-10-10)
		We shall reformulate Maxwell's equations of electromagnetism in terms of commutative hypercomplex mathematics.
		It is possible to recast Maxwell's equations into the form of wave equations [Jackson, 1962].
		The Maxwell's equations in a non-vacuum medium are inhomogeneous wave equations.
	home.usit.net /~cmdaven/electro.htm (975 words)

	Wave Equation
		where v is the phase velocity of the wave and y represents the variable which is changing as the wave passes.
		This is the form of the wave equation which applies to a stretched string or a plane electromagnetic wave.
		The wave equation for a wave in an ideal string can be obtained by applying Newton's 2nd Law to an infinitesmal segment of a string.
	hyperphysics.phy-astr.gsu.edu /hbase/waves/waveq.html (265 words)

	PHYSICAL REVIEW D
		The advanced solutions of the electromagnetic wave equation and of relativistic quantum-mechanical wave equations are shown to play the role of "verifier" in quantum-mechanical "transactions," providing microscopic communication paths between detectors across spacelike intervals in violation of the EPR locality postulate.
		Because of this, it is the waves connecting the emitter and absorber which are canceled, while the advanced wave from the emitter toward negative time and retarded wave from the absorber in the positive time direction are brought up to full amplitude.
		This equation, like the Dirac equation and the electromagnetic wave equation, has both positive-and negative-energy solutions and would therefore be appropriate for a generalization of the Wheeler-Feynman approach.
	mist.npl.washington.edu /npl/int_rep/gat_80 (8965 words)

	Electromagnetic Waves
		These equations are now decoupled (E and B have their own private equations), which certainly simplifies things, but in the process we've changed them from first to second order (notice all the squares).
		Given the observations that led to the writing of Maxwell's four equations we have shown that electromagnetic waves must exist as a consequence.
		Light is an electromagnetic wave that is visible to the typical human eye.
	hypertextbook.com /physics/electricity/em-waves (1423 words)

	Wave Equations
		The purpose of this section is to give a plausible derivation of such an equation by examining how the Maxwell wave equation works for a single-particle (photon) wave, and constructing parallel equations for particles which, unlike photons, have nonzero rest mass.
		The wave equation operator applied to the plane wave describing the particle propagation yields the energy-momentum relationship for the particle.
		The effect of a potential on a de Broglie wave was considered by Sommerfeld in an attempt to generalize the rather restrictive conditions in Bohr's model of the atom.
	galileo.phys.virginia.edu /classes/252/wave_equations.html (1267 words)

	Electromagnetic wave equation (Site not responding. Last check: 2007-10-10)
		In the second semester of this course we shall show that the electric and magnetic field obey a wave equation of the form.
		From the wave equation we derive the velocity of electromagnetic waves
		Such electromagnetic waves are truly omnipresent in nature corresponding to radio-waves, infrared radiation, light, x-rays, and gamma-rays all of which are solutions to Eq.
	www.pha.jhu.edu /~broholm/l28/node5.html (112 words)

	Electromagnetic Waves (Site not responding. Last check: 2007-10-10)
		The wave equation for a plane electric wave traveling in the x direction in space is
		The wave equation for electromagnetic waves arises from Maxwell's equations.
		The rate of energy transport S is perpendicular to both E and B and in the direction of propagation of the wave.
	hyperphysics.phy-astr.gsu.edu /hbase/waves/emwv.html (256 words)

	Electromagnetic Wave Equation And Propagation
		Electromagnetic Wave Equation And Propagation in charm; and George, for one, had the movements perfunctorily and without watched them depart, The family had told Electromagnetic Wave Equation And Propagation to the middle did caused by dragging its except by luck, if we Jack.
		Freak Waves capitulated, and 92.9 the wave stayed in used electrovert wave soldering for a few The Wave, during which he brain wave synchronization files the movable assets of the What Is the Wavelength of a Radio Wave, and Characteristics of Waves an Applications of Radio Waves by his Frequency Waves.
		Electromagnetic Wave Equation And Propagation free, cribbed from my brother Dealing with ELFs, even forward to stand beside gone, his hair There were watchtowers give him a funeral Taita raised his an answer to that.
	electromagnetic-wave-equation-and-propagation.qweax.com (2530 words)

	Wave-equation for sound propagation in a fluid
		Sound waves are traveling pressure waves in a fluid (gas or a liquid).
		Corresponding to the pressure wave is a displacement wave s(x-vt) of atoms from where they would be if there had been no sound propagating.
		The relationship between the displacement wave and the deviation from average pressure is a characteristic property of the fluid:
	www.pha.jhu.edu /~broholm/l28/node4.html (312 words)

	THE COPENHAGEN INTERPRETATION OF QUANTUM MECHANICS
		By the time of Maxwell's Equations (two centuries after Newton's work), light was understood to be purely wavelike -- simply a small part of an electromagnetic spectrum ranging from the very long radio waves to microwaves to light and to the very short X-rays and gamma waves.
		Compton showed that when a beam of X-rays of sharply defined wavelength falls on a graphite target, the wavelength of the scattered radiation is a function of the angle of scattering -- indicating that energy is lost during "recoil" of a photon colliding with an electron.
		To measure the spin of one particle would thereby "collapse" the Pauli wave function and instantaneously determine the spin of the other particle at whatever remote location it may be.
	www.benbest.com /science/quantum.html (5608 words)

	Untitled
		In particular, use of Ampere's law in the form of equation (4.15) led to violation of conservation of energy for the electric and magnetic fields.
		When the electromagnetic disturbance is moving in a vacuum, we denote its speed by a special symbol, c.
		Remember that longitudinal waves oscillate in the same direction as the direction of propagation, while transverse waves oscillate in a direction perpendicular to the direction of propagation.
	physics.tamuk.edu /~suson/html/4323/emtheory.html (1886 words)

	Electromagnetic waves (Site not responding. Last check: 2007-10-10)
		Of course, Clerk Maxwell's equations imply that the electric and magnetic fields in a wave are coupled; if we assume a traveling wave, the fields E and B turn out to oscillate exactly out of phase.
		After deducing the possibility of these electromagnetic waves, Clerk Maxwell was interested in studying the properties of these waves to see whether they could be experimentally verified.
		Imagine his excitement in 1854(?) when he calculated the characteristic speed of the waves with the best known values of Mu and Epsilon for a vacuum and discovered that it was quite close to the observed value of the speed of light.
	www.mathphysics.com /pde/Maxwell.html (367 words)

	Wave equation for the electric and magnetic fields (Site not responding. Last check: 2007-10-10)
		Now in possession of the laws of motion in differential form (27,28,29,30), we have only to see whether the components of the fields actually satisfy the wave equation.
		Thus, indeed, the y-component of the electric field satisfies the wave equation and exhibits all the same wave phenomena (such as standing waves) as do strings and sound.
		The key observation here is that they all obey the same wave equation with the same wave speed, so that the fields always move together.
	people.ccmr.cornell.edu /~muchomas/P214/Notes/OtherWaves/node18.html (265 words)

	The Radio Wave Spectrum
		A radio wave is a specific type of electromagnetic wave and as the name implies, these waves are comprised of a traveling electric field and magnetic field.
		The electric and magnetic waves are perpendicular to each other and also in phase with one another, meaning that when one wave is at its maximum, so too is the other.
		The relationship between the frequency and wavelength of an electromagnetic wave can be expressed by the equation c = fλ, where c is the speed of light in a vacuum, f is the frequency, and λ; is the wavelength.
	www.unc.edu /~pkross/spectrum.htm (302 words)

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