Asymptotic behaviour of multiple scattering on an infinite number of parallel half-planes

被引:12
作者
Bogomolny, E [1 ]
Schmit, C [1 ]
机构
[1] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
关键词
D O I
10.1088/0951-7715/16/6/310
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The exact solution for the scattering of electromagnetic waves on an infinite number of parallel half-planes was obtained by J F Carlson and A E Heins in 1947 using the Wiener-Hopf method (Carlson J F and Heins A E 1947 Quart. Appl. Math. 4 313-79). We analyse their solution in the semiclassical limit of small wavelength and find the asymptotic behaviour of the reflection and transmission coefficients. The results are compared with those obtained within the Kirchhoff approximation.
引用
收藏
页码:2035 / 2059
页数:25
相关论文
共 11 条
[1]   LEVEL CLUSTERING IN REGULAR SPECTRUM [J].
BERRY, MV ;
TABOR, M .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1686) :375-394
[2]   Semiclassical calculations of the two-point correlation form factor for diffractive systems [J].
Bogomolny, E ;
Giraud, O .
NONLINEARITY, 2002, 15 (04) :993-1018
[3]   Diffractive corrections in the trace formula for polygonal billiards [J].
Bogomolny, E ;
Pavloff, N ;
Schmit, C .
PHYSICAL REVIEW E, 2000, 61 (04) :3689-3711
[4]  
BOGOMOLNY E, 2002, UNPUB
[5]   Models of intermediate spectral statistics [J].
Bogomolny, EB ;
Gerland, U ;
Schmit, C .
PHYSICAL REVIEW E, 1999, 59 (02) :R1315-R1318
[6]   CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].
BOHIGAS, O ;
GIANNONI, MJ ;
SCHMIT, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4
[7]   THE REFLECTION OF AN ELECTROMAGNETIC PLANE WAVE BY AN INFINITE SET OF PLATES .1. [J].
CARLSON, JF ;
HEINS, AE .
QUARTERLY OF APPLIED MATHEMATICS, 1947, 4 (04) :313-329
[8]   THE REFLECTION OF AN ELECTROMAGNETIC PLANE WAVE BY AN INFINITE SET OF PLATES .2. [J].
HEINS, AE ;
CARLSON, JF .
QUARTERLY OF APPLIED MATHEMATICS, 1947, 5 (01) :82-88
[9]  
Noble B., 1988, METHODS BASED WIENER
[10]   PSEUDOINTEGRABLE SYSTEMS IN CLASSICAL AND QUANTUM-MECHANICS [J].
RICHENS, PJ ;
BERRY, MV .
PHYSICA D, 1981, 2 (03) :495-512