Examples of using Plane wave in English and their translations into Turkish
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The plane wave spectrum concept is the basic foundation of Fourier Optics.
Spatial coherence Figure 5: A plane wave with an infinite coherence length.
In that case the wave function of theelectron can be approximated by a(modified) plane wave.
A linear filter transmits one component of a plane wave and absorbs the perpendicular component.
The distances for the spots was a few tens of wavelengths on the other side of the array, or, in other words,opposite the side of the incident plane wave.
The electromagnetic field of a plane wave without sources is nilpotent when it is expressed in terms of the algebra of physical space.
Even in free space, longitudinal field components can be generated in focal regions, where the plane wave approximation breaks down.
It is useful in physics(for example, to convert between plane waves and cylindrical waves), and in signal processing to describe FM signals.
This step truncation can introduce inaccuracies in both theoretical calculations andmeasured values of the plane wave coefficients on the RHS of eqn.
It also measureshow far from the optic axis the corresponding plane waves are tilted, and so this type of bandwidth is often referred to also as angular bandwidth.
However, it is by no means the only way to represent the electric field,which may also be represented as a spectrum of sinusoidally varying plane waves.
For example,scattering of neutrons from nuclei can be described by considering a plane wave in the potential of the nucleus, which comprises a real part and an imaginary part.
The interior of the Kerr geometry, or rather a portion of it, is locally isometric to the Chandrasekhar-Ferrari CPW vacuum,an example of a colliding plane wave model.
Considering a monochromatic plane wave of optical frequency f(light of vacuum wavelength λ has a frequency of f c/λ where c is the speed of light), let us take the direction of propagation as the z axis.
As long as the superposition principle holds(which is often but not always; see nonlinear optics), the behavior of any light wave canbe understood as a superposition of the behavior of these simpler plane waves.
Light at different(delta function) frequencies will"spray" the plane wave spectrum out at different angles, and as a result these plane wave components will be focused at different places in the output plane. .
Rather than showing this in detail, we will proceed to a detailed study of the two most important solutions in this theory: the spherically symmetric static asymptotically flatvacuum solutions the general vacuum gravitational plane wave solution in this theory.
Far from its sources, an expanding spherical wave is locallytangent to a planar phase front(a single plane wave out of the infinite spectrum), which is transverse to the radial direction of propagation.
The plane wave spectrum is often regarded as being discrete for certain types of periodic gratings, though in reality, the spectra from gratings are continuous as well, since no physical device can have the infinite extent required to produce a true line spectrum.
Free space also admits eigenmode(natural mode)solutions(known more commonly as plane waves), but with the distinction that for any given frequency, free space admits a continuous modal spectrum, whereas waveguides have a discrete mode spectrum.
Unfortunately, wavelets in the x-y plane don't correspond to any known type of propagating wave function, in the same way that Fourier's sinusoids(in the x-y plane) correspond to plane wave functions in three dimensions.
A DC electrical signal is constant and has no oscillations; a plane wave propagating parallel to the optic( z{\displaystyle z}) axis has constant value in any x-y plane, and therefore is analogous to the(constant) DC component of an electrical signal.
This is particularly interesting, because the global structure of this CPW solution is quite different from that of the Kerr geometry, and in principle, an experimenter could hope to study the geometry of(the outer portion of)the Kerr interior by arranging the collision of two suitable gravitational plane waves.
However, for understanding electromagnetic waves and polarization in particular,it is easiest to just consider coherent plane waves; these are sinusoidal waves of one particular direction(or wavevector), frequency, phase, and polarization state.
Each paraxial plane wave component of the field in the front focal plane appears as a point spread function spot in the back focal plane, with an intensity and phase equal to the intensity and phase of the original plane wave component in the front focal plane. .
A"wide" wave moving forward(like an expanding ocean wave coming toward the shore)can be regarded as an infinite number of"plane wave modes", all of which could(when they collide with something in the way) scatter independently of one other.
The plane wave spectrum arises naturally as the eigenfunction or"natural mode" solution to the homogeneous electromagnetic wave equation in rectangular coordinates see also Electromagnetic radiation, which derives the wave equation from Maxwell's equations in source-free media, or Scott.
Electromagnetic waves(such as light), traveling in free space or another homogeneous isotropic non-attenuating medium, are properly described as transversewaves, meaning that a plane wave's electric field vector E and magnetic field H are in directions perpendicular to(or"transverse" to) the direction of wave propagation; E and H are also perpendicular to each other.
This field represents a propagating plane wave when the quantity under the radical is positive, and an exponentially decaying wave when it is negative in passive media, the root with a non-positive imaginary part must always be chosen, to represent uniform propagation or decay, but not amplification.
The plane wave expansion is applied in Acoustics Optics Quantum scattering theory Helmholtz equation Plane wave expansion method in computational electromagnetism Digital Library of Mathematical Functions, Equation 10.60.7, National Institute of Standards and Technology Rami Mehrem(2009), The Plane Wave Expansion, Infinite Integrals and Identities Involving Spherical Bessel Functions, arXiv: 0909.0494, Bibcode: 2009arXiv0909.0494M.
