Geodesic
Reflection and transmission of plasma waves at the interface of crystallites
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1229-1247 
A. V. Latyshev; A. A. Yushkanov. Reflection and transmission of plasma waves at the interface of crystallites. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1229-1247. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a9/
@article{ZVMMF_2007_47_7_a9,
     author = {A. V. Latyshev and A. A. Yushkanov},
     title = {Reflection and transmission of plasma waves at the interface of crystallites},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1229--1247},
     year = {2007},
     volume = {47},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a9/}
}
TY  - JOUR
AU  - A. V. Latyshev
AU  - A. A. Yushkanov
TI  - Reflection and transmission of plasma waves at the interface of crystallites
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 1229
EP  - 1247
VL  - 47
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a9/
LA  - ru
ID  - ZVMMF_2007_47_7_a9
ER  - 
%0 Journal Article
%A A. V. Latyshev
%A A. A. Yushkanov
%T Reflection and transmission of plasma waves at the interface of crystallites
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 1229-1247
%V 47
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a9/
%G ru
%F ZVMMF_2007_47_7_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

A linearized problem of the reflection and transmission of a plasma wave at the boundary of a half-space (namely, the plane separating two crystallites) is formulated and analytically solved. The electron distribution function and the electric field inside the half-space of a degenerate plasma are found. The reflection and transmission coefficients are determined as functions of the input parameters of the problem. The longwave limit (i.e., the resonance case when the oscillation frequency of the self-consistent electric field is close to the natural (Langmuir) oscillation frequency) is analyzed.

[1] Aleksandrov A. F., Bogdankevich L. S., Rukhadze A. A., Osnovy elektrodinamiki plazmy, Vyssh. shkola, M., 1988

[2] Silin V. P., Rukhadze A. A., Elektromagnitnye svoistva plazmy i plazmopodobnykh sred, Gosatomizdat, M., 1961

[3] Latyshev A. B., Yushkanov A. A., “Elektronnaya plazma v poluprostranstve metalla v peremennom elektricheskom pole”, Zh. vychisl. matem. i matem. fiz., 41:8 (2001), 1229–1241 | MR | Zbl

[4] Latyshev A. B., Yushkanov A. A., “Plazma v vysokochastotnom elektricheskom pole s zerkalnym usloviem na granitse”, Izv. RAN. Ser. Mekhan. zhidkosti i gaza, 2006, no. 1, 165–177 | MR

[5] Latyshev A. B., Yushkanov A. A., Granichnye zadachi dlya vyrozhdennoi elektronnoi plazmy. Monografiya, Izd-vo MGOU, M., 2006

[6] Lifshits E. M., Pitaevskii L. P., Fizicheskaya kinetika, Nauka, M., 1979 | MR | Zbl

[7] Vladimirov B. C., Zharinov V. V., Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2000

[8] Zaiman Dzh., Elektrony i fonony, Izd-vo inostr. lit., M., 1962

[9] Lifanov I. K., Metod singulyarnykh integralnykh uravnenii i chislennyi eksperiment (v matematicheskoi fizike, aerodinamike, teorii uprugosti i difraktsii voln), TOO “Yanus”, M., 1995 | MR | Zbl