Cylindrical Waves

2010 ◽  
pp. 113-135 ◽  
Author(s):  
Arnold Verruijt
Keyword(s):  
Cylindrical Waves

Gas motion in the cylindrical helicoid channel without rotation

2012 ◽  
Vol 9 (1) ◽  
pp. 162-164
Author(s):  
S.V. Khabirov
Keyword(s):  
Dispersion Curves ◽  
Phase Changes ◽  
Cylindrical Waves ◽  
Dispersion Ratio

Distribution of plane, spherical and cylindrical waves in steam-gaseous mixes with unequigranular particles and drops when one of fractions participates in phase changes is studied. The dispersion ratio is received, dispersion curves are calculated. Influence of a polydispersity of particles and drops on dispersion and a dissipation of small indignations is analysed.

scholarly journals LARGE QUANTUM GRAVITY EFFECTS: CYLINDRICAL WAVES IN FOUR DIMENSIONS

2000 ◽  
Vol 09 (06) ◽  
pp. 669-686 ◽  
Author(s):  
MARÍA E. ANGULO ◽  
GUILLERMO A. MENA MARUGÁN
Keyword(s):  
Quantum Gravity ◽  
Symmetry Axis ◽  
Point Of View ◽  
Three Dimensions ◽  
Asymptotic Region ◽  
Four Dimensions ◽  
Cylindrical Waves ◽  
Significant Difference ◽  
Gravity Effects ◽  
Linearly Polarized

Linearly polarized cylindrical waves in four-dimensional vacuum gravity are mathematically equivalent to rotationally symmetric gravity coupled to a Maxwell (or Klein–Gordon) field in three dimensions. The quantization of this latter system was performed by Ashtekar and Pierri in a recent work. Employing that quantization, we obtain here a complete quantum theory which describes the four-dimensional geometry of the Einstein–Rosen waves. In particular, we construct regularized operators to represent the metric. It is shown that the results achieved by Ashtekar about the existence of important quantum gravity effects in the Einstein–Maxwell system at large distances from the symmetry axis continue to be valid from a four-dimensional point of view. The only significant difference is that, in order to admit an approximate classical description in the asymptotic region, states that are coherent in the Maxwell field need not contain a large number of photons anymore. We also analyze the metric fluctuations on the symmetry axis and argue that they are generally relevant for all of the coherent states.

Analogs of the brewster effect and total internal reflection for cylindrical waves

2000 ◽  
Vol 45 (7) ◽  
pp. 865-869
Author(s):  
M. A. Kaliteevskii ◽  
V. V. Nikolaev
Keyword(s):  
Total Internal Reflection ◽  
Internal Reflection ◽  
Cylindrical Waves

A migration imaging method using CGP stacked cylindrical waves

2006 ◽  
Vol 3 (2) ◽  
pp. 87-91
Author(s):  
Zishun Li ◽  
Jiangnan Long ◽  
Qingling Wu
Keyword(s):  
Imaging Method ◽  
Cylindrical Waves ◽  
Migration Imaging

scholarly journals Functional evolution of quantum cylindrical waves

2006 ◽  
Vol 23 (22) ◽  
pp. 6115-6140 ◽  
Author(s):  
Demian H J Cho ◽  
Madhavan Varadarajan
Keyword(s):  
Functional Evolution ◽  
Cylindrical Waves

Quantitative fatigue crack evaluation in pipeline structures using nonlinear cylindrical waves

2018 ◽  
Vol 28 (2) ◽  
pp. 025015 ◽  
Author(s):  
Ruiqi Guan ◽  
Ye Lu ◽  
Kai Wang ◽  
Zhongqing Su
Keyword(s):  
Fatigue Crack ◽  
Cylindrical Waves ◽  
Pipeline Structures

Rigorous accounting diffraction on non-plane gratings irradiated by non-planar waves

2021 ◽  
Author(s):  
Leonid I. Goray
Keyword(s):  
Plane Wave ◽  
Wave Diffraction ◽  
Plane Waves ◽  
Three Dimensional ◽  
Integral Equation Method ◽  
Transverse Magnetic ◽  
Incident Field ◽  
Boundary Integral ◽  
Cylindrical Waves ◽  
Plane Wave Diffraction

Abstract The modified boundary integral equation method (MIM) is considered a rigorous theoretical application for the diffraction of cylindrical waves by arbitrary profiled plane gratings, as well as for the diffraction of plane/non-planar waves by concave/convex gratings. This study investigates two-dimensional (2D) diffraction problems of the filiform source electromagnetic field scattered by a plane lamellar grating and of plane waves scattered by a similar cylindrical-shaped grating. Unlike the problem of plane wave diffraction by a plane grating, the field of a localised source does not satisfy the quasi-periodicity requirement. Fourier transform is used to reduce the solution of the problem of localised source diffraction by the grating in the whole region to the solution of the problem of diffraction inside one Floquet channel. By considering the periodicity of the geometry structure, the problem of Floquet terms for the image can be formulated so that it enables the application of the MIM developed for plane wave diffraction problems. Accounting of the local structure of an incident field enables both the prediction of the corresponding efficiencies and the specification of the bounds within which the approximation of the incident field with plane waves is correct. For 2D diffraction problems of the high-conductive plane grating irradiated by cylindrical waves and the cylindrical high-conductive grating irradiated by plane waves, decompositions in sets of plane waves/sections are investigated. The application of such decomposition, including the dependence on the number of plane waves/sections and radii of the grating and wave front shape, was demonstrated for lamellar, sinusoidal and saw-tooth grating examples in the 0th & –1st orders as well as in the transverse electric and transverse magnetic polarisations. The primary effects of plane wave/section partitions of non-planar wave fronts and curved grating shapes on the exact solutions for 2D and three-dimensional (conical) diffraction problems are discussed.

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