# Exactly solvable model of resonance tunneling of an electromagnetic wave in plasma containing short-scale inhomogeneities

## Abstract

Different variants of resonance tunneling of a transverse electromagnetic wave through a plasma layer containing short-scale (subwavelength) inhomogeneities, including evanescence regions to which approximate methods are inapplicable, are analyzed in the framework of an exactly solvable one-dimensional model. Complex plasma density profiles described by a number of free parameters determining the permittivity modulation depth, the characteristic scale lengths of plasma structures, their number, and the thickness of the inhomogeneous plasma layer are considered. It is demonstrated that reflection-free propagation of the wave incident on the layer from vacuum (the effect of wave-barrier transillumination) can be achieved for various sets of such structures, including plasma density profiles containing a stochastic component. Taking into account cubic nonlinearity, it is also possible to obtain an exact solution to the one-dimensional problem on the nonlinear transillumination of nonuniform plasma. In this case, the thicknesses of the evanescence regions decrease appreciably. The problem of resonance tunneling of electromagnetic waves through such barriers is of interest for a number of practical applications.

- Authors:

- Russian Academy of Sciences, Space Research Institute (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22472445

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Plasma Physics Reports; Journal Volume: 41; Journal Issue: 2; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ELECTROMAGNETIC RADIATION; EXACT SOLUTIONS; INHOMOGENEOUS PLASMA; LAYERS; MODULATION; NONLINEAR PROBLEMS; PERMITTIVITY; PLASMA DENSITY; PLASMA WAVES; REFLECTION; STOCHASTIC PROCESSES; TUNNEL EFFECT; WAVE PROPAGATION

### Citation Formats

```
Erokhin, N. S., E-mail: nerokhin@mx.iki.rssi.ru, Zakharov, V. E., Zol’nikova, N. N., and Mikhailovskaya, L. A.
```*Exactly solvable model of resonance tunneling of an electromagnetic wave in plasma containing short-scale inhomogeneities*. United States: N. p., 2015.
Web. doi:10.1134/S1063780X14120022.

```
Erokhin, N. S., E-mail: nerokhin@mx.iki.rssi.ru, Zakharov, V. E., Zol’nikova, N. N., & Mikhailovskaya, L. A.
```*Exactly solvable model of resonance tunneling of an electromagnetic wave in plasma containing short-scale inhomogeneities*. United States. doi:10.1134/S1063780X14120022.

```
Erokhin, N. S., E-mail: nerokhin@mx.iki.rssi.ru, Zakharov, V. E., Zol’nikova, N. N., and Mikhailovskaya, L. A. Sun .
"Exactly solvable model of resonance tunneling of an electromagnetic wave in plasma containing short-scale inhomogeneities". United States.
doi:10.1134/S1063780X14120022.
```

```
@article{osti_22472445,
```

title = {Exactly solvable model of resonance tunneling of an electromagnetic wave in plasma containing short-scale inhomogeneities},

author = {Erokhin, N. S., E-mail: nerokhin@mx.iki.rssi.ru and Zakharov, V. E. and Zol’nikova, N. N. and Mikhailovskaya, L. A.},

abstractNote = {Different variants of resonance tunneling of a transverse electromagnetic wave through a plasma layer containing short-scale (subwavelength) inhomogeneities, including evanescence regions to which approximate methods are inapplicable, are analyzed in the framework of an exactly solvable one-dimensional model. Complex plasma density profiles described by a number of free parameters determining the permittivity modulation depth, the characteristic scale lengths of plasma structures, their number, and the thickness of the inhomogeneous plasma layer are considered. It is demonstrated that reflection-free propagation of the wave incident on the layer from vacuum (the effect of wave-barrier transillumination) can be achieved for various sets of such structures, including plasma density profiles containing a stochastic component. Taking into account cubic nonlinearity, it is also possible to obtain an exact solution to the one-dimensional problem on the nonlinear transillumination of nonuniform plasma. In this case, the thicknesses of the evanescence regions decrease appreciably. The problem of resonance tunneling of electromagnetic waves through such barriers is of interest for a number of practical applications.},

doi = {10.1134/S1063780X14120022},

journal = {Plasma Physics Reports},

number = 2,

volume = 41,

place = {United States},

year = {Sun Feb 15 00:00:00 EST 2015},

month = {Sun Feb 15 00:00:00 EST 2015}

}