Polarization and resonant absorption in intersecting cylinders and spheres

1994 ◽  
Vol 76 (8) ◽  
pp. 4827-4835 ◽  
Author(s):  
A. V. Radchik ◽  
A. V. Paley ◽  
G. B. Smith ◽  
A. V. Vagov
Keyword(s):  
Resonant Absorption ◽  
Cylinders And Spheres

Linear Visco-Resistive Computations of Magnetohydrodynamic Waves: I. The Code and Test Cases

1994 ◽  
Vol 144 ◽  
pp. 503-505
Author(s):  
R. Erdélyi ◽  
M. Goossens ◽  
S. Poedts
Keyword(s):  
Resonant Absorption ◽  
Numerical Code ◽  
Mhd Waves ◽  
Test Cases ◽  
Numerical Accuracy ◽  
Element Discretization ◽  
Flux Tubes ◽  
Magnetohydrodynamic Waves ◽  
Viscosity Coefficients ◽  
Magnetic Flux Tubes

AbstractThe stationary state of resonant absorption of linear, MHD waves in cylindrical magnetic flux tubes is studied in viscous, compressible MHD with a numerical code using finite element discretization. The full viscosity tensor with the five viscosity coefficients as given by Braginskii is included in the analysis. Our computations reproduce the absorption rates obtained by Lou in scalar viscous MHD and Goossens and Poedts in resistive MHD, which guarantee the numerical accuracy of the tensorial viscous MHD code.

Spin Resonance

2018 ◽  
Author(s):  
M. M. Glazov
Keyword(s):  
Magnetic Resonance ◽  
Nuclear Spin ◽  
Electromagnetic Waves ◽  
Zeeman Splitting ◽  
Resonant Absorption ◽  
Magnetic Interactions ◽  
Spin Effects ◽  
Crystalline Environment ◽  
Spin Resonance ◽  
Optically Detected

This chapter is devoted to one of key phenomena in the field of spin physics, namely, resonant absorption of electromagnetic waves under conditions where the Zeeman splitting of spin levels in magnetic field is equal to photon energy. This method is particularly important for identification of nuclear spin effects, because resonance spectra provide fingerprints of different involved spin species and make it possible to distinguish different nuclear isotopes. As discussed in this chapter the nuclear magnetic resonance provides also an access to local magnetic fields acting on nuclear spins. These fields are caused by the magnetic interactions between the nuclei and by the quadrupole splittings of nuclear spin states in anisotropic crystalline environment. Manifestations of spin resonance in optical responses of semiconductors–that is, optically detected magnetic resonance–are discussed.

scholarly journals Resonant Instability of Kink Oscillations in Magnetic Flux Tubes with Siphon Flow

Solar Physics ◽  
2021 ◽  
Vol 296 (6) ◽  
Author(s):  
Michael S. Ruderman ◽  
Nikolai S. Petrukhin
Keyword(s):  
Flow Velocity ◽  
Resonant Absorption ◽  
Tube Axis ◽  
Magnetic Tube ◽  
Transitional Layer ◽  
Threshold Velocity ◽  
Flux Tubes ◽  
Resonant Instability ◽  
Constant Magnitude ◽  
Magnetic Flux Tubes

AbstractWe study kink oscillations of a straight magnetic tube in the presence of siphon flows. The tube consists of a core and a transitional or boundary layer. The flow velocity is parallel to the tube axis, has constant magnitude, and confined in the tube core. The plasma density is constant in the tube core and it monotonically decreases in the transitional layer to its value in the surrounding plasma. We use the expression for the decrement/increment previously obtained by Ruderman and Petrukhin (Astron. Astrophys.631, A31, 2019) to study the damping and resonant instability of kink oscillations. We show that, depending on the magnitude of siphon-velocity, resonant absorption can cause either the damping of kink oscillations or their enhancement. There are two threshold velocities: When the flow velocity is below the first threshold velocity, kink oscillations damp. When the flow velocity is above the second threshold velocity, the kink oscillation amplitudes grow. Finally, when the flow velocity is between the two threshold velocities, the oscillation amplitudes do not change. We apply the theoretical result to kink oscillations of prominence threads. We show that, for particular values of thread parameters, resonant instability can excite these kink oscillations.

Numerical Methods for Solving Physically Nonlinear Problems for Inhomogeneous Thick-Walled Shells

2017 ◽  
Vol 865 ◽  
pp. 325-330 ◽  
Author(s):  
Vladimir I. Andreev ◽  
Lyudmila S. Polyakova
Keyword(s):  
Numerical Method ◽  
Nonlinear Problems ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Deformation Diagram ◽  
Method Of Solution ◽  
Properties Of Materials ◽  
Physical Fields ◽  
Cylinders And Spheres ◽  
Numerical Method Of Solution

The paper proposes the numerical method of solution the problems of calculation the stress state in thick-walled cylinders and spheres from physically nonlinear inhomogeneous material. The urgency of solved problem due to the change of mechanical properties of materials under the influence of different physical fields (temperature, humidity, radiation, etc.). The deformation diagram describes the three-parameter formula. The numerical method used the method of successive approximations. The results of numerical calculation are compared with the test analytical solutions obtaining the authors with some restrictions on diagram parameters. The obtained results can be considered quite satisfactory.

Heavy Nucleus Resonant Absorption Calculation Benchmarks

1993 ◽  
Vol 113 (1) ◽  
pp. 20-30 ◽  
Author(s):  
H. Tellier ◽  
M. Coste ◽  
C. Raepsaet ◽  
C. Van der Gucht
Keyword(s):  
Heavy Nucleus ◽  
Resonant Absorption

A Review of K-Solutions for Through-Thickness Flaws in Cylinders and Spheres

2007 ◽  
Author(s):  
Ali Mirzaee Sisan ◽  
Isabel Hadley ◽  
Sarah E. Smith ◽  
Mike Smith
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Loading Conditions ◽  
Wide Range ◽  
Cylinders And Spheres

This paper reviews different stress intensity factor solutions for a wide range of configurations and loading conditions for a cylinder with axial and circumferential through thickness cracks and a sphere with through thickness meridional (equatorial) cracks. The most appropriate solutions to use are identified.

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