A practical formulation of the image rule for electromagnetic spherical wave sources above a PEC or PMC plane interface

2013 ◽  
Author(s):  
J.Rodrigo Camacho-Perez ◽  
Pablo Moreno
Keyword(s):  
Spherical Wave ◽  
Plane Interface

scholarly journals A novel expression of the spherical-wave reflection coefficient at a plane interface

2017 ◽  
Vol 211 (2) ◽  
pp. 700-717 ◽  
Author(s):  
Jingnan Li ◽  
Shangxu Wang ◽  
Yonghui Tao ◽  
Chunhui Dong ◽  
Genyang Tang
Keyword(s):  
Reflection Coefficient ◽  
Complex Plane ◽  
Wave Reflection ◽  
Incidence Angle ◽  
Velocity Ratio ◽  
Spherical Wave ◽  
Density Ratio ◽  
Plane Interface ◽  
Analytical Equation ◽  
Wave Number

Abstract The spherical-wave reflection coefficient (SRC) describes the reflection strength when seismic waves emanating from a point source impinge on an interface. In this study, the SRC at a plane interface between two infinite half-spaces is investigated. We derive an analytical equation of the SRC when kR → 0 (k is the wave number and R is the wave propagation distance). It only depends on the density ratio; it is independent of the velocity ratio and incidence angle. On the other hand, we find that the SRCs at different kR lie along an elliptical curve on the complex plane (the complex plane is a geometric representation of the complex numbers established by the real axis and perpendicular imaginary axis). Based on this feature, we construct a new analytical equation for the reflected spherical wave with high accuracy, which is applicable to both small and large kR. Using the elliptical distribution of the SRCs for a series of frequencies recorded at only one spatial location, the density and velocity ratios can be extracted. This study complements the spherical-wave reflection theory and provides a new basis for acoustic parameters inversion, particularly density inversion.

SPHERICAL WAVE CORRECTIONS IN XAFS

1986 ◽  
Vol 47 (C8) ◽  
pp. C8-31-C8-35
Author(s):  
J. J. REHR ◽  
R. C. ALBERS ◽  
C. R. NATOLI ◽  
E. A. STERN
Keyword(s):  
Spherical Wave

SPHERICAL WAVE CORRECTIONS IN ARPEFS

1986 ◽  
Vol 47 (C8) ◽  
pp. C8-213-C8-216
Author(s):  
J. J. REHR ◽  
J. MUSTRE DE LEON ◽  
C. R. NATOLI ◽  
C. S. FADLEY
Keyword(s):  
Spherical Wave

SPHERICAL WAVE APPROACH TO ELECTRON FOCUSING PROCESSES IN EXAFS

1986 ◽  
Vol 47 (C8) ◽  
pp. C8-89-C8-92 ◽  
Author(s):  
R. V. VEDRINSKII ◽  
L. A. BUGAEV
Keyword(s):  
Spherical Wave ◽  
Wave Approach ◽  
Electron Focusing

scholarly journals The Accelerations of a Wave Measurement Buoy Impacted by Breaking Waves in the Surf Zone

2021 ◽  
Vol 9 (2) ◽  
pp. 214
Author(s):  
Adam C. Brown ◽  
Robert K. Paasch
Keyword(s):  
Inertial Measurement Unit ◽  
Surf Zone ◽  
Spherical Wave ◽  
Breaking Waves ◽  
Measurement Unit ◽  
High Fidelity ◽  
Wave Measurement ◽  
Near Shore ◽  
Shoaling Waves ◽  
Multiple Deployments

A spherical wave measurement buoy capable of detecting breaking waves has been designed and built. The buoy is 16 inches in diameter and houses a 9 degree of freedom inertial measurement unit (IMU). The orientation and acceleration of the buoy is continuously logged at frequencies up to 200 Hz providing a high fidelity description of the motion of the buoy as it is impacted by breaking waves. The buoy was deployed several times throughout the winter of 2013–2014. Both moored and free-drifting data were acquired in near-shore shoaling waves off the coast of Newport, OR. Almost 200 breaking waves of varying type and intensity were measured over the course of multiple deployments. The characteristic signature of spilling and plunging breakers was identified in the IMU data.

scholarly journals Computational Method for Wavefront Sensing Based on Transport-Of-Intensity Equation

Photonics ◽  
2021 ◽  
Vol 8 (6) ◽  
pp. 177
Author(s):  
Iliya Gritsenko ◽  
Michael Kovalev ◽  
George Krasin ◽  
Matvey Konoplyov ◽  
Nikita Stsepuro
Keyword(s):  
A Priori ◽  
Spherical Wave ◽  
Computational Method ◽  
Optical Systems ◽  
Radius Of Curvature ◽  
Imaging Method ◽  
Wavefront Sensing ◽  
Phase Imaging ◽  
Transport Of Intensity Equation ◽  
Priori Information

Recently the transport-of-intensity equation as a phase imaging method turned out as an effective microscopy method that does not require the use of high-resolution optical systems and a priori information about the object. In this paper we propose a mathematical model that adapts the transport-of-intensity equation for the purpose of wavefront sensing of the given light wave. The analysis of the influence of the longitudinal displacement z and the step between intensity distributions measurements on the error in determining the wavefront radius of curvature of a spherical wave is carried out. The proposed method is compared with the traditional Shack–Hartmann method and the method based on computer-generated Fourier holograms. Numerical simulation showed that the proposed method allows measurement of the wavefront radius of curvature with radius of 40 mm and with accuracy of ~200 μm.

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