# Weak Lacunae of Electromagnetic Waves in Dilute Plasma

@article{Tsynkov2007WeakLO, title={Weak Lacunae of Electromagnetic Waves in Dilute Plasma}, author={Semyon Tsynkov}, journal={SIAM J. Appl. Math.}, year={2007}, volume={67}, pages={1548-1581} }

The propagation of waves is said to be diffusionless, and the corresponding governing PDE (or system) is said to satisfy Huygens' principle if the waves due to compactly supported sources have sharp aft fronts. The areas of no disturbance behind the aft fronts are called lacunae. Diffusionless propagation of waves is rare, whereas its opposite—diffusive propagation accompanied by aftereffects—is common. Nonetheless, lacunae can still be observed in a number of important applications, including…

## 3 Citations

### Quasi-Lacunae of Maxwell's Equations

- MathematicsSIAM J. Appl. Math.
- 2011

It is shown that the notion of classical lacunae can be generalized, and that even when the steady-state charges are present, the waves still have sharp aft fronts, and there is a nonzero electrostatic solution rather than one identically zero.

### Modeling open boundaries in dissipative MHD simulation

- MathematicsJ. Comput. Phys.
- 2012

### On SAR Imaging through the Earth's Ionosphere

- PhysicsSIAM J. Imaging Sci.
- 2009

The ionospheric phenomena, both deterministic and random, are shown to affect the azimuthal resolution of a SAR sensor stronger than the range resolution; also, the effect of randomness appears weaker than that of the baseline dispersion.

## References

SHOWING 1-10 OF 34 REFERENCES

### Artificial Boundary Conditions for the Numerical Simulation of Unsteady Electromagnetic Waves

- Mathematics
- 2003

A central characteristic feature of an important class of hyperbolic PDEs in odddimension spaces is the presence of lacunae, i.e., sharp aft fronts of the waves, in their solutions. This feature,…

### The propagation of electromagnetic waves in plasmas

- Physics
- 1970

Green's function techniques are used to treat the propagation of electromagnetic waves in uniform, weakly interacting plasmas near equilibrium in the absence of external magnetic fields. The…

### Numerical Solution of Initial Boundary Value Problems Involving Maxwell ’ s Equations in Isotropic Media

- Geology, Physics
- 2000

The characteristics of the waves guided along a plane interface which separates a semi-infinite region of free space from that of a magnetoionic medium are investigated for the case in which the…

### The Propagation of Radio Waves: The Theory of Radio Waves of Low Power in the Ionosphere and Magnetosphere

- Physics
- 1988

Preface 1. The ionosphere and magnetosphere 2. The basic equations 3. The constitutive relations 4. Magnetoionic theory I. Polarisation and refractive index 5. Magnetoionic theory II. Rays and group…

### Long-time numerical computation of wave-type solutions driven by moving sources ✩

- Mathematics
- 2001

We propose a methodology for calculating the solution of an initial-value problem for the three-dimensional wave equation over arbitrarily long time intervals. The solution is driven by moving…

### Global Discrete Artificial Boundary Conditions for Time-dependent Wave Propagation

- Computer Science

The construction of the global lacunae-based ABCs are delineated in the framework of a discretized wave equation and systematic numerical results are presented that corroborate the theoretical design properties of the ABCs' algorithm.

### Long-time numerical computation of wave-type solutions driven by moving sources ? ? This work was su

- Physics
- 2001

### Methods of theoretical physics

- Physics
- 1937

Allis and Herlin Thermodynamics and Statistical Mechanics Becker Introduction to Theoretical Mechanics Clark Applied X-rays Collin Field Theory of Guided Waves Evans The Atomic Nucleus Finkelnburg…