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About 10,000 papers for “Spherical wave”

Spherical Gravitational Wave Detectors

Krishna Venkateswara · 2007

Resonant bar gravitational wave detectors have improved greatly over the last 40 years but are currently completely outperformed by laser interferometer detectors. Spherical detector configuration has several advantages over conventional bar detectors and can be considered as the next generation of resonant gravitational wave antenna. In this report, I will give a brief introduction to gravitational waves and detectors and then review the major research done on spherical detectors.

Cited by 0

Particle – spherical standing wave

Khmelnik, Solomon · Zenodo (CERN European Organization for Nuclear Research) · 2024

It is shown that one of the solutions to Maxwell's equations in spherical coordinates is a spherical wave, which can be identified with a particle that is both a particle and a wave. This creates a mathematical description of the particle-AND-wave, as opposed to the particle-OR-wave described by modern quantum physics, which cannot be both at the same time. This particle rotates, this phenomenon is observed (most likely) in experiments and is described as spin - a certain quality of elementary particles that have no analog in the macrocosm. The existence of a rotating particle-I-wave destroys the boundary between the microworld and the macroworld: both worlds can be described by a single classical electrodynamics.

Cited by 0Open access

Underwater spherical shock wave

S. Efimov, O. Antonov, D. Yanuka et al. · 2013 Abstracts IEEE International Conference on Plasma Science (ICOPS) · 2013

Summary form only given. The results of experimental and numerical studies of spherical implosion of converging spherical strong shock waves (SSW) generated using underwater electrical explosion of spherical Cu wire arrays are reported. In the experiment, a ~ 4 kJ pulse generator with discharged current amplitude -300 kA, and a rise time of ~ 1 μs was used for wire array explosion. Spherical wire arrays with radii of 10 mm, 12.5 mm, 15 mm and 20 mm were tested. Number of wires was varied in the range 20-40 for different wire diameters in the range 0.1-0.2 mm. A largest shock wave velocity, pressure, water temperature and density in the vicinity of the implosion origin were achieved for the array with radius of 10 mm. The emission from the plasma formed by SSW near the origin of implosion was collected by optical fibers and detected by photomultipliers. The time of the water self-emission appearance together with the data of energy delivered to the wire array were used for determination of the SSW and water parameters in the vicinity of the implosion center using hydrodynamic simulations coupled with SESAME data base for water.

Cited by 0

Spherical surface-wave antennas

Ryan S. Elliott · IRE Transactions on Antennas and Propagation · 1956

Solutions of Maxwell's equations are presented which approximately satisfy the boundary conditions for corrugated and dielectric-clad conducting spheres. These solutions have the physical interpretation of leaky latitudinal surface waves. Values of the complex propagation constant are given as functions of the geometry. For large spheres the leakage is small and the transmission properties approach those of a trapped cylindrical wave on a flat surface. A corrugated spherical cap, used to support surface waves, has been found to have interesting possibilities as a low-drag omnidirectional antenna. Preliminary experimental results are offered as an illustration of the theory.

Cited by 21

Efficient spherical-wave AVO modeling

Charles P. Ursenbach, Arnim B. Haase, Jonathan E. Downton · The Leading Edge · 2007

Point-source effects are becoming recognized as important in some long-offset AVO studies. In this article, we introduce the ideas of spherical-wave AVO, caused by point sources, and then present a new and simple way of calculating spherical-wave reflection coefficients.

Cited by 16

Spherical-wave intensity diffraction tomography

Greg Gbur, Mark A. Anastasio, Yin Huang et al. · Journal of the Optical Society of America A · 2005

An extension of the recently developed method of intensity diffraction tomography is derived that assumes that the probing field is a spherical wave produced by a point source sufficiently far from the scatterer. A discussion of the method and numerical reconstructions of a simulated three-dimensional scattering object are presented.

Cited by 21

V. An exact spherical wave

L. Marder · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1961

Abstract A construction is given for an exact solution of Einstein’s empty space-time field equations representing an axially sjonmetric pulse wave with the properties that (i) the wave front is a sphere, outside of which all space-time is flat; (ii) a finite, expanding line singularity forms the axial diameter of this sphere. Because of (i), the solution would need to be generalized before a physical source could be introduced. The presence of radiation is confirmed by the fact that at a great distance from the centre of the wave the Riemann tensor is asymptotically of Petrov’s canonical type II (with vanishing scalar invariants).

Cited by 8

SPHERICAL WAVE CORRECTIONS IN XAFS

J.J. REHR, R.C. ALBERS, C.R. NATOLI et al. · Springer Link (Chiba Institute of Technology) · 1986

Spherical wave corrections in XAFS (x-ray absorption fine structure) are discussed using a new high-energy approximation based on asymptotic expansions. This approximation replaces the plane-wave approximation and is found to be in good agreement with exact treatments almost to the absorption edge. With this formulation the single-scattering XAFS formula is recovered in terms of distance-dependent back-scattering amplitudes. Multiple-scattering contributions in XAFS and spherical wave corrections in angular resolved photoemission are treated similarly.

Cited by 0

SPHERICAL WAVE CORRECTIONS IN ARPEFS

J.J. REHR, J. MUSTRE DE LEON, C.R. NATOLI et al. · Springer Link (Chiba Institute of Technology) · 1986

A derivation of ARPEFS (Angular Resolved Photoelectron Spectroscopy Fine Structure) which generalizes that based on the plane-wave approximation is reviewed. Spherical wave corrections in the theory are approximated using asymptotic expansions for the one-particle propagators. Single scattering terms are treated exactly in terms of a distance dependent, effective scattering amplitude, [MATH] (θ, [MATH]). This spherical wave approximation (SWA) explains observed corrections to the plane-wave approximation and is found to be in good agreement with the full single scattering spherical wave treatment. The relation between this theory and XAFS (X-ray absorption fine structure) is discussed using a generalized optical theorem.

Cited by 0

Spherical-wave AVO analysis of reflected P-wave

Sheng Li · 2012

In this paper,the reflection coefficient formula of spherical reflected P wave was derived.According to the derived formula,the variations of reflection coefficient and phase of class I and class III AVO media versus angle were calculated,and compared with the result of plane wave Zoeppritz formula.The results show that for the class I AVO medium,spherical wave reflection coefficient near the critical angle is more accurate than the Zoeppritz′s computed result,and is highly influenced by the interface depth,i.e.with depth increasing,the trend of spherical wave AVO is close to plane wave AVO.Finally,numerical simulation technology was applied to verify and analyze the spherical wave AVO gather.The results show that a larger variation occurred for the refraction caused by the near-critical or super-critical angle through the class I AVO medium.But for the class III AVO phenomenon,because there is no critical angle problem,the spherical wave simulation results had little difference with Zoeppritz′s.These calculation and analysis results would provide a theoretical basis for the AVO analysis of large offset gather data in practice.

Cited by 0

Interface reflection wave of axisymmetric directional spherical-wave

Yunda Duan, Hengshan Hu · Acta Physica Sinica · 2022

The sound radiation field of a circular piston source in an infinite plane rigid baffle can be approximated as an axisymmetric directional spherical-wave. The interface response expressions of the axisymmetric directional spherical-wave for the piston parallel with the interface has already been obtained in previous studies. On condition that the distance from the piston center to the interface is much greater than the piston radius, we first derive the conical wave expansion of the axisymmetric directional spherical-wave which is obtained by using the conical wave expansion of the homogeneous spherical-wave and the formula of the axisymmetric directional spherical-wave excited by a circular piston in an rigid infinite plane, and then derive the expression of the interface reflection wave of the axisymmetric directional spherical-wave for the piston non-parallel to the interface. The expression of the interface reflection wave is simplified into a simplified expression by saddle point method on condition that the source distance is much larger than the acoustic wavelength. The simplified expression is not only simple in the calculation, but also clear in the physical meaning. The simplified expression shows that the interface reflection wave of the axisymmetric directional spherical-wave can be regarded as the product of the axisymmetric directional spherical-wave excited by the piston mirror image and the reflection coefficient. The calculations show that when the piston radius is smaller than the acoustic wavelength, the reflected wave is less sensitive to the angle included between the piston and the interface and the azimuth of the receiving point, and the directivity of the reflected wave is weak. When the piston radius is greater than the acoustic wavelength, the reflected wave is very sensitive to the angle included between the piston and the interface and the azimuth of the receiving point, and the directivity of the reflected wave is strong. Increasing the angle included between the piston and the interface, the reflected wave and its directivity both first increase and then decrease. The reflected wave is largest and the directivity of the reflected wave is strongest when the angle included between the piston and the interface is equal to that between the interface normal and the connecting line between the mirror image of the piston center and the receiving point.

Cited by 0Open access