VISUALIZATION OF THE ENERGY FLOW FOR ELASTIC WAVES: COMPARISON AND CONTRAST OF CONVENTIONAL VECTOR FIELD VS. COLOR CODED REPRESENTATION OF THE POYNTING VECTOR

2004 ◽  
Author(s):  
CLEON E. DEAN ◽  
JAMES P. BRASELTON
Keyword(s):  
Vector Field ◽  
Elastic Waves ◽  
Energy Flow ◽  
Poynting Vector

The Poynting vector field and the energy flow within a transformer

1986 ◽  
Vol 54 (6) ◽  
pp. 528-531 ◽  
Author(s):  
F. Herrmann ◽  
G. Bruno Schmid
Keyword(s):  
Vector Field ◽  
Energy Flow ◽  
Poynting Vector

Investigation of energy conversion processes and wave activity related to dipolarization fronts observed by MMS

2021 ◽  
Author(s):  
Soboh Alqeeq ◽  
Olivier Le Contel ◽  
Patrick Canu ◽  
Alessandro Retino ◽  
Thomas Chust ◽  
...  
Keyword(s):  
Energy Conversion ◽  
Energy Flow ◽  
Poynting Vector ◽  
Wave Activity ◽  
Electromagnetic Energy ◽  
Particle Measurements ◽  
Dipolarization Front ◽  
The Earth ◽  
Current Densities ◽  
Scale Properties

<p>In the present work, we consider four dipolarization front (DF) events detected by MMS spacecraft in the Earth’s magnetotail during a substorm on 23rd of July 2017 between 16:05 and 17:19 UT. From their ion scale properties, we show that these four DF events embedded in fast Earthward plasma flows have classical signatures with increases of Bz, velocity and temperature and a decrease of density across the DF. We compute and compare current densities obtained from magnetic and particle measurements and analyse the Ohm’s law. Then we describe the wave activity related to these DFs. We investigate energy conversion processes via J.E calculations and estimate the importance of the electromagnetic energy flow by computing the divergence of the Poynting vector. Finally we discuss the electromagnetic energy conservation in the context of these DFs.</p>

ELASTIC WAVES IN TRIGONAL CRYSTALS

1961 ◽  
Vol 39 (1) ◽  
pp. 65-80 ◽  
Author(s):  
G. W. Farnell
Keyword(s):  
Elastic Waves ◽  
Energy Flow ◽  
Pure Mode ◽  
Sound Waves ◽  
Propagation Characteristics ◽  
Three Solutions ◽  
Transverse Waves ◽  
Plane Wavefront ◽  
Wave Normal ◽  
Quasi Longitudinal Wave

In non-isotropic single crystals the normals to the wavefronts of elastic waves are not colinear with the vectors representing either the energy flow or the particle displacement. Calculations have been carried out on the propagation characteristics of sound waves in two particular trigonal crystals, α-quartz and sapphire.The development of the eigenvalue equation for the velocity and the formulae for the components of the displacement and energy-flow vectors are summarized. The assumption that the wave has a plane wavefront normal to a given direction leads to three solutions, one representing a quasi-longitudinal wave and the other two representing quasi-transverse waves. The velocities of propagation, directions of displacement, and directions of energy flow for the three waves have been calculated for many orientations of the wave normal. Detailed results for propagation near one of the pure-mode axes are presented.

Antiferromagnetic Conic Refraction of Sound in Hematite

2010 ◽  
Vol 168-169 ◽  
pp. 173-176
Author(s):  
S.A. Migachev ◽  
M.F. Sadykov ◽  
M.M. Shakirzyanov ◽  
D.A. Ivanov
Keyword(s):  
Magnetic Field ◽  
Elastic Waves ◽  
Energy Flow ◽  
Deflection Angle ◽  
Easy Plane ◽  
Magnetoelastic Interaction ◽  
Basis Plane ◽  
Field Dependent ◽  
The Deflection Angle ◽  
The Magnetic Field

In a trigonal easy-plane -Fe2O3 antiferromagnet magnetic-field-dependent conic refraction due to the renormalization of the coefficients of elasticity effective magnetoelastic interaction is experimentally found in addition to the conventional internal conic refraction of the transverse elastic waves propagating along the trigonal C3 axis. It is shown that the deflection angle () of the energy flow from the C3 axis upon the internal conic refraction does not depend on the value of the magnetic field applied in the basis plane (HC3) and is a constant value determined by the correlation of the C14 and C44 coefficients of elasticity. The deflection angle of the energy flow upon the antiferromagnetic conic refraction () increases with increase in the field and tends to the  value at large H values. The obtained results agree well with the theory of this phenomenon in antiferromagnets and support its conclusions.

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