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b. optical wave breaking in the pcf
b. optical wave breaking in the pcf

... which much closely match the corresponding experiment result shown in Fig.3 (c). Fig.5(b) is the simulated pulse shape from the PCF. A noteworthy feature of the pulse shape is that the rapid oscillations appear near the pulse edges, which are always accompanied by the sidelobes in the spectrum. The ...
"Quasicrystalline and Dynamic Planforms in Nonlinear Optics''
"Quasicrystalline and Dynamic Planforms in Nonlinear Optics''

Diffusion theory
Diffusion theory

New approach to pulse propagation in nonlinear
New approach to pulse propagation in nonlinear

Mechanical waves
Mechanical waves

WAVE OPTICS Jaan Kalda 1 Basics. Double slit diffraction.
WAVE OPTICS Jaan Kalda 1 Basics. Double slit diffraction.

... Jaan Kalda ...
Real-time digital holographic microscopy Ventseslav Sainov and Elena Stoykova
Real-time digital holographic microscopy Ventseslav Sainov and Elena Stoykova

... and an object spherical wave U lR (r ) = A lR exp{− jk (x − x l )2 + ( y − y l )2 / 2 R} in paraxial approximation, r ...
Ultrashort light bullets described by the two-dimensional sine
Ultrashort light bullets described by the two-dimensional sine

Phase distortions in sum- and difference
Phase distortions in sum- and difference

... with zero intensity its output phase will be independent of the intensities of the input waves and will depend only on DkL, where L is the crystal length. The output phases of the other two waves will be intensity dependent if Dk fi 0. If there is linear absorption the phase of the wave that started ...
Aberrations
Aberrations

... The Aberration Polynomial: So far, we haven’t asked what the functional form of W might be. If we restrict ourselves to rotationally symmetric optical systems, we can limit the possible forms W might take. If we assume a 2-Dimensional polynomial form for W, and eliminate all terms and combination of ...
Optical Microscopy and 4 Pi Microscopy
Optical Microscopy and 4 Pi Microscopy

Using ray matrices to derive analytical expressions of optical
Using ray matrices to derive analytical expressions of optical

... Ray matrix formalism is a useful theory applied to paraxial geometrical optics, which employs 2×2 matrices to describe optical systems [1,2]. This formulation allows complex, multi-element, optical systems to be analyzed and simplified using easy calculations. This matrix theory is also very useful ...
ABCD law for Gaussian laser beams
ABCD law for Gaussian laser beams

Solitons, Shock Waves and Conservation Laws of Rosenau
Solitons, Shock Waves and Conservation Laws of Rosenau

... fundamental pulses that travel through the optical fibers for transcontinental and transoceanic distances. The modern telecommunication system in information sciences has advanced because of the progress in the research on optical solitons [9, 12]. Apart from nonlinear optics, solitons are also obse ...
Realization of optical carpets in the Talbot and
Realization of optical carpets in the Talbot and

Physical Optics
Physical Optics

... Introduction and structure of the course. The study of light has been an important part of science from its beginning. The ancient Greeks and, prior to the Middle Ages, Islamic scholars provided important insights. With the coming of the Scientific Revolution in the 16th and 17th centuries, optics, ...
Engineering biphoton wave packets with an electromagnetically
Engineering biphoton wave packets with an electromagnetically

... sample that act as an amplitude grating and by which the joint Stokes and anti-Stokes wave packet can be shaped. Compared with previous proposals ascribed before, several interesting features appear in the present one. First, such a medium may exert both amplitude and phase modulations on biphoton w ...
Statistical Mechanics
Statistical Mechanics

Calculation of image position, size and orientation using first order
Calculation of image position, size and orientation using first order

Negative refraction - Condensed Matter Theory group
Negative refraction - Condensed Matter Theory group

... All the properties of these double negative materials are consistent with a negative refractive index, and it is now common to use the term ‘negatively refracting’ to describe these double negative materials. In view of the role of causality in guiding us to physically correct solutions, we shall he ...
PDF
PDF

Break-up of two-dimensional bright spatial solitons due to transverse
Break-up of two-dimensional bright spatial solitons due to transverse

and the matrix
and the matrix

Waves
Waves

... Light is only a small part of the electromagnetic spectrum (see picture on next slide). All the different parts of the electromagnetic spectrum differ from light only in frequency (and thus period) and wavelength. Since light does not need a medium to propagate, and ALL other waves do, we can classi ...
Chapter 2: Propagation of Laser Beams
Chapter 2: Propagation of Laser Beams

< 1 ... 18 19 20 21 22 23 24 25 26 ... 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.
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