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3.7 Dielectrics and Optics 3.7.1 Basics
3.7 Dielectrics and Optics 3.7.1 Basics

... through the material. What do we know about the three beams? The incident beam is characterized by its wavelength λi, its frequency νi and its velocity c0, the direction of its polarization in some coordinate system of our choice, and the arbitrary angle of incidence α. We know, it is hoped, the sim ...
$doc.title

... 1.  Huygens’ principle 2.  Fermat’s principle 3.  Interference of all possible paths of light wave from source to observer — it results in destructive interference everywhere except extrema of phase (where interference is constructive)—which become actual paths. 4.  Application of the general bounda ...
Brightfield contrast methods
Brightfield contrast methods

Dispersion of Own Frequency of Ion
Dispersion of Own Frequency of Ion

... by speed of supersonic field toward to direction propagation of sound. There was shown that the average Poynting vector of superposition field involves the intensities of the transverse electromagnetic and the optical fields which form the intensity of light diffraction. We considered a model of sol ...
Optics
Optics

...  Focal length can change the feeling of a shot.  Depth of field can change a character’s size as they move within the frame and represent a character’s size relative to other characters within the frame.  Wide Angle lenses provide greater depth of field, so action can be staged in depth.  Teleph ...
Document
Document

... Perfect Eye  would image every infinitesimal point in a scene to a corresponding infinitesimal ...
Transformation-designed optical elements
Transformation-designed optical elements

... The transformation method allows one to design continuous media that exert precise and arbitrary control over a field, particularly the electromagnetic field[1][2][3][4]. Even the challenging problem of reflectionless design in arbitrary geometries is quite straight foward. The resulting material sp ...
Edge-enhanced imaging with polyvinyl alcohol/acrylamide photopolymer gratings 1510
Edge-enhanced imaging with polyvinyl alcohol/acrylamide photopolymer gratings 1510

... given by ur 苷 uo 2 c, and angular responses R and S of the grating modify the spectrum of plane waves propagating from the object. Similarly, Eq. (1) can be expressed as a function of angular frequency p (in radians per meter), given by p 苷 2p sin uo 兾l0 , to produce angular frequency transfer funct ...
Boundaryless finite-difference method for three
Boundaryless finite-difference method for three

... boundary condition on the problem that leads to nonphysical reflections of outgoing waves into the solution region and produces undesired interference with the propagating wave field. The most common way to prevent this boundary reflection has been the insertion of an artificial absorbing region adj ...
Acoustic Propagation
Acoustic Propagation

polarization 3
polarization 3

... When they emerge out of the plate, they combine to form linearly polarised wave, the action of the quarter wave plate on circularly polarised light wave is similar. Circularly polarised light incident on a quarter wave plate is converted into linearly polarised light. ...
Graphene-like optical light field and its interaction with two
Graphene-like optical light field and its interaction with two

... We note that the generated light field differs from that given in Eq. (1) as it originates from disks rather than points spaced around the vertices of a hexagon. This is necessary to increase efficiency, but results in a pattern with an intensity that is falling off rapidly around the beam waist, as ...
Nonlinear dynamics of wave packets in parity-time-symmetric optical
Nonlinear dynamics of wave packets in parity-time-symmetric optical

Lab 7, The Basics of Optics and Telescopes
Lab 7, The Basics of Optics and Telescopes

Beam steering with spatial light modulators: Quantisation effects
Beam steering with spatial light modulators: Quantisation effects

... experimental details that need to be taken into consideration in hologram computation. For this purpose, we created a Matlab program. Due to the SLM non-flatness [4], a modification to the described holograms has to be made: the full area of the SLM is not being used since the shape of the resulting ...
Two-dimensional array of diffractive microlenses
Two-dimensional array of diffractive microlenses

... for n > 0. This corresponds to a spherical wave diverging from the FZP. Negative values of n yield the zcoordinates of the focal planes of the FZP. For n = 0, Zn becomes infinite. This corresponds to a plane wave which represents the zeroth diffraction order. As we mentioned earlier, Eq. (8) holds f ...
supplementary info
supplementary info

Electromagnetic Radiation
Electromagnetic Radiation

81, 053803 (2010)
81, 053803 (2010)

Invariant Imbedding Equations for Electromagnetic Waves in
Invariant Imbedding Equations for Electromagnetic Waves in

... The propagation of electromagnetic waves in inhomogeneous media is an important topic in various branches of physics, including optics, plasma physics, astrophysics, and condensed matter physics [1, 2, 3, 4]. Great attention has been paid to the cases where the inhomogeneity is random or periodic [1 ...
Interferometric back focal plane microellipsometry
Interferometric back focal plane microellipsometry

Maxwell`s Equations, Photons and the Density of States
Maxwell`s Equations, Photons and the Density of States

... P C curl M .T ; t/=0 . For more details see [98B1, 98D1] or Chap. 27. by P Concerning the units, some theoreticians still prefer the so-called c g s (cm, g, second) system. Though it has only marginal differences in mechanics to the SI system, which is based on the units 1 m, 1 kg, 1 s, 1 A, 1 K, 1 ...
Can Fermat`s Principle accurately predict lens focusing? - TEM-EELS
Can Fermat`s Principle accurately predict lens focusing? - TEM-EELS

... The focusing power can be deduced much more quickly and with apparently no approximation by using Fermat’s Principle, according to which the time taken by light to travel between any two points is the smallest possible value. This least-time principle implies that if light can take two of more paths ...
Analysis of Optical Systems I
Analysis of Optical Systems I

... We have already seen from Eq. (14. ) that C 0 = C, therefore, f1 = f2 = f Thus, if the elements of the transfer matrix are known, the location of the focal points and principal planes is determined. Graphical construction of ray paths through the system using the methods of ray tracing is then strai ...
Polarization Experiment
Polarization Experiment

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Fourier optics

Fourier optics is the study of classical optics using Fourier transforms, in which the wave is regarded as a superposition of plane waves that are not related to any identifiable sources; instead they are the natural modes of the propagation medium itself. Fourier optics can be seen as the dual of the Huygens–Fresnel principle, in which the wave is regarded as a superposition of expanding spherical waves which radiate outward from actual (physically identifiable) current sources via a Green's function relationship (see Double-slit experiment)A curved phasefront may be synthesized from an infinite number of these ""natural modes"" i.e., from plane wave phasefronts oriented in different directions in space. Far from its sources, an expanding spherical wave is locally tangent to a planar phase front (a single plane wave out of the infinite spectrum), which is transverse to the radial direction of propagation. In this case, a Fraunhofer diffraction pattern is created, which emanates from a single spherical wave phase center. In the near field, no single well-defined spherical wave phase center exists, so the wavefront isn't locally tangent to a spherical ball. In this case, a Fresnel diffraction pattern would be created, which emanates from an extended source, consisting of a distribution of (physically identifiable) spherical wave sources in space. In the near field, a full spectrum of plane waves is necessary to represent the Fresnel near-field wave, even locally. 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. These mathematical simplifications and calculations are the realm of Fourier analysis and synthesis – together, they can describe what happens when light passes through various slits, lenses or mirrors curved one way or the other, or is fully or partially reflected. Fourier optics forms much of the theory behind image processing techniques, as well as finding applications where information needs to be extracted from optical sources such as in quantum optics. To put it in a slightly more complex way, similar to the concept of frequency and time used in traditional Fourier transform theory, Fourier optics makes use of the spatial frequency domain (kx, ky) as the conjugate of the spatial (x,y) domain. Terms and concepts such as transform theory, spectrum, bandwidth, window functions and sampling from one-dimensional signal processing are commonly used.
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