• Study Resource
  • Explore Categories
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Asymmetric surface plasmon polariton emission by a dipole emitter
Asymmetric surface plasmon polariton emission by a dipole emitter

... The problem of SPP radiation (or, by virtue of time-reversal symmetry, absorption9 ) by classical point dipoles is ubiquitous in theoretical plasmonics as it provides an accurate and efficient model for understanding a broad spectrum of phenomena in light-matter interaction. This includes the intera ...
Numerical techniques for Fresnel diffraction in computational
Numerical techniques for Fresnel diffraction in computational

... Most would agree that holography produces the most realistic form of visualization. The striking realism of a well crafted hologram can be breathtaking. The same physical wavefront of light that we see from a real object can be reproduced by a hologram. Thus viewing a hologram is no different than v ...
The Optics of the Mach-Zehnder Interferometer
The Optics of the Mach-Zehnder Interferometer

... adjustment giving what is described in the present report as a linear source-plane path variation. He shows that with horizontal fringes there is a limit to the permissible source size even with the best adjustment. His paper, and t h a t of Schardin, suggest wrongly t h a t only the semi-reflectin ...
diffraction gratings
diffraction gratings

... 1. An entrance slit or aperture stop. 2. A collimating element to make the rays parallel which pass though one point of the entrance slit or field-stop. This collimator may be a lens, a mirror or an integral part of the dispersing element, as in a concave grating spectrometer. 3. A dispersing elemen ...
soliton - Széchenyi István Egyetem
soliton - Széchenyi István Egyetem

Partially coherent beam shaping and imaging
Partially coherent beam shaping and imaging

... transform a field with a given spatial profile (typically Gaussian) into some other predefined profile [8–14], which is often an approximation of a flat-top profile [15]. This task can, in general, be accomplished either with refractive free-form elements [16–23] ...
Representation of Wavefront Aberrations
Representation of Wavefront Aberrations

STUDY OF NONLINEAR EVOLUTION EQUATIONS WITH
STUDY OF NONLINEAR EVOLUTION EQUATIONS WITH

Rogue waves and their generating mechanisms in different physical
Rogue waves and their generating mechanisms in different physical

... from the Gaussian statistics of the wave amplitude, with long tails of the probability density function (PDF) accounting for the rather frequent emission of the giant waves. Despite the specificity of each experiment, other common properties can be identified, as the existence of many uncorrelated ‘ ...
The diffraction of atoms by light
The diffraction of atoms by light

Optical field profile evaluation on silica high Optical field profile
Optical field profile evaluation on silica high Optical field profile

Metamaterial Electromagnetic Wave Absorbers
Metamaterial Electromagnetic Wave Absorbers

... some of the more traditional MPAs developed in the past three years, which this Progress Report will focus on. The first experimental demonstration of such an MPA was in 2008[39] and utilized a metamaterial 2D ERR structure over a cut wire medium separated by a dielectric layer.[39] This design also ...
Gain and Loss Factor for Conical Horns, and Impact of Ground
Gain and Loss Factor for Conical Horns, and Impact of Ground

... Horn antennas have been used for over a hundred years. They have a wide variety of uses where they are a basic and popular microwave antenna for many practical applications, such as feed elements for communication reflector dishes on satellite or point-to-point relay antennas. They are also widely u ...
Antenna Boresighting
Antenna Boresighting

Spatiotemporal superposed rogue-wave
Spatiotemporal superposed rogue-wave

... DDM (8) and PDAS (9). Two different systems have a common property, that is, the accumulated time T exists a maximum value Tm . In the framework of Eq. (5), T can choose arbitrary values and breathers reach their maximum amplitudes at T = T0 and then disappear. Therefore, we can adjust the relation ...
الشريحة 1
الشريحة 1

... The wave that emerges from a point source has amplitude ψ at location r that is given by the solution of the frequency domain wave equation for a point source (The Helmholtz Equation), ...
Optical Indicatrix
Optical Indicatrix

... Minerals that crystallize in the tetragonal and hexagonal crystal systems have two different unit cell dimensions (a and c) and a high degree of symmetry about the c axis. Two indices of refraction are required to define the dimensions of the indicatrix, which is an ellipsoid of revolution whose axi ...
Basic Wavefront Aberration Theory for Optical Metrology
Basic Wavefront Aberration Theory for Optical Metrology

Broadband Sharp 90-degree Bends and T
Broadband Sharp 90-degree Bends and T

... We note that the nearly perfect transmission is a broadband phenomenon achieved from λ0 = 1.55 μm to mid-infrared, because the quasi-static approximation applies to any sufficiently long wavelengths. The closed structure of the coaxial waveguide that prohibits coupling with other leakage channels such ...
Application of nonperiodic phase structures in
Application of nonperiodic phase structures in

... As a result, this phase structure has no effect at the design temperature. When the temperature changes, the shape of the stepped phase structure will change; the height of the rings will therefore also change, the amount of change depending on the linear-expansion coefficient ␣ of the material. Bec ...
Wavefront Aberration - University of Arizona
Wavefront Aberration - University of Arizona

... coordinates as used in this chapter is shown in Fig. 4b. Angles increase in the counterclockwise direction, -and the zero angle is along the x axis when looking at the pupil plane from the image plane. This is the definition used for interferogram analysis by many of the computer-aided lens design a ...
Properties of a 4Pi confocal fluorescence microscope
Properties of a 4Pi confocal fluorescence microscope

Wave optical simulations of x-ray nano
Wave optical simulations of x-ray nano

... The primordinal object of this thesis was to obtain an analytical and numerical description of focusing multilayer (ML) mirrors, that are mainly used at the European Synchrotron Radiation Facility (ESRF) in Grenoble, France. ML mirrors provide high quality x-ray beams for investigation on a large va ...
Generalized shifts and weak values for polarization components of
Generalized shifts and weak values for polarization components of

Variable Incidence Angle Fluorescence Interference Contrast
Variable Incidence Angle Fluorescence Interference Contrast

... on the same chip yielded variations in thickness of as much as 1 nm, possibly indicative of some variation in thickness arising from the etch process. The SiO2 thickness determined by ellipsometry is therefore reported to 1 nm. To narrow and vary the range of excitation uincs, the aperture diaphragm ...
< 1 2 3 4 5 6 7 ... 47 >

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.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report