Transverse magneto-plasma wave propagation in a periodic structure

Baynham, A.C.; Boardman, A. D.

doi:10.1088/0022-3719/2/4/306

Cited by 20 publications

(15 citation statements)

References 3 publications

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“…which was described in [15] and [16], takes place in this case. Note that if the quantity k z1 d 1 corresponds to an odd number of half-waves, then the band boundarykd = 0 is "destroyed," while for an even number of half-waves, this occurs for the band boundarykd = π.…”

supporting

confidence: 69%

Influence of dissipation on the energy-band structure of semiconducting superlattices in a magnetic field

Bulgakov

Кононенко

Kostyleva

2008

Radiophys Quantum El

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UDC 539.21We study the influence of dissipation in a semiconducting material with the semiconductordielectric periodic layered structure on the passband boundaries for eigenwaves. It is shown that allowance for losses in the superconductor leads to appearance of a bend in dispersion curves for the electromagnetic waves propagating in such a structure. In this case, the minimum value of the phase velocity of the wave is limited. It is found that if the collision rate is high, then one of the band boundaries in the region of cyclotron waves degenerates, i.e., the band "destruction" takes place.

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supporting

confidence: 69%

Influence of dissipation on the energy-band structure of semiconducting superlattices in a magnetic field

Bulgakov

Кононенко

Kostyleva

2008

Radiophys Quantum El

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“…We now introduce the boundary conditions, which are used in the standard treatment of layered media having a Kronig-Penney structure, and wave propagation across the layers is considered [6,7]. Soliton solution for the current densities of the two layers is connected to one another at the boundary of the two layers in the following way: j 1 j zd l j 2 j zd 1 ; 20 @j 1 @z zd 1 @j 2 @z where d 1 d 2 d, and K is the nonlinear analog of the Bloch wave number.…”

Section: Periodic Boundary Conditionsmentioning

confidence: 99%

“…We note here that eq. (24) is quadratic in cos ( Kd), whereas in the linear case [4,6,7] the dispersion relation was linear in cos ( Kd). Therefore the charge density wave solitons have two modes of propagation corresponding to the two solutions of eq.…”

Section: Periodic Boundary Conditionsmentioning

confidence: 99%

“…Such materials have included metal±semiconductor or semiconductor±insulator periodic layers etc. The theoretical work of Baynham and Boardman [6,7] is considered a watershed for the further description of theoretical work in the area of periodic multilayer structures. Since then a lot of theoretical work has appeared investigating both linear and nonlinear properties of wave propagation in periodic multilayer media (e.g.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Density Wave Propagation in Layered Superconducting Plasmas

Ali

Shah

2000

phys. stat. sol. (b)

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“…In a number of theoretical papers the problems without taking the dissipation processes into account are considered. However, as it is known, taking the dissipation into account results in not only the attenuation of the structure own waves but changing of the dispersion character and minimum phase velocity limitation of the own waves [1,2]. Our work deals with the investigation of the dissipation influence on the semiconductor superlattice zone structure in the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

The Investigation of the Dissipation Influence on the Dispertion Properties of the Semiconductor Superlattice Electromagnetic Waves in the Magnetic Field

Bulgakov

Кононенко

Kostylyova

2006 International Conference on Mathematical Methods in Electromagnetic Theory

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_ We have investigated the dissipation influence on the electromagnetic properties of the semiconductor superlattice in the magnetic field. The features and differences of the zone spectrum are researched for two types of the ratios of characteristic semiconductor frequency ( H P Z Z and H P Z Z ! ). We have shown that taking dissipation into account gives rise to the occurrence of the turning of the dispersion curves for the electromagnetic waves propagating in such structures. It is find that one of the band edges in the collective cyclotron waves region is degenerate for big collision frequency value, the zone "destruction" takes place. We also have obtained that when H P Z Z ! the zones appear where the attenuation is very small. It is connected with the fact that in this case the energy value transferred in the dielectric layer is more than that in the semiconductor layer.

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Transverse magneto-plasma wave propagation in a periodic structure

Cited by 20 publications

References 3 publications

Influence of dissipation on the energy-band structure of semiconducting superlattices in a magnetic field

Influence of dissipation on the energy-band structure of semiconducting superlattices in a magnetic field

Nonlinear Density Wave Propagation in Layered Superconducting Plasmas

The Investigation of the Dissipation Influence on the Dispertion Properties of the Semiconductor Superlattice Electromagnetic Waves in the Magnetic Field

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