GUIDED-WAVES BY ELECTROMAGNETIC GRATINGS AND NONUNIQUENESS EXAMPLES FOR THE DIFFRACTION PROBLEM

被引:192
作者
BONNETBENDHIA, AS
STARLING, F
机构
[1] Laboratoire de Simulation, Ecole Nationale Supérieure des Techniques Avancées, URA D0853 du CNRS, Associée, Université Pierre et Marie Curie, Centre de l'Yvette, Palaiseau, 91120, Chemin de la Hunière
[2] Centre de Mathématiques Appliquées, Ecole Polytechnique, Palaiseau
关键词
D O I
10.1002/mma.1670170502
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the two-dimensional scalar problem of the diffraction of a plane wave by an infinite grating of conducting bodies immersed in a periodical dielectric medium. A Fredholm-type formulation is derived and studied. The existence of a solution is proved and some uniqueness results are established. A detailed description of the guided modes of the grating is carried out. Finally, various non-uniqueness examples for the diffraction problem are exhibited.
引用
收藏
页码:305 / 338
页数:34
相关论文
共 19 条
[1]  
ALBER HD, 1979, P ROY SOC EDINBURG A, V82
[2]  
[Anonymous], 1966, PERTURBATION THEORY
[3]   MATHEMATICAL-ANALYSIS OF THE GUIDED MODES OF AN OPTICAL FIBER [J].
BAMBERGER, A ;
BONNET, AS .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1990, 21 (06) :1487-1510
[4]  
BONNETBENDHIA AS, IN PRESS SIAM J APPL
[5]  
BONNETBENDHIA AS, 1991, CMAP243 EC POLYT RAP
[6]  
Eidus D.M., 1962, AM MATH SOC TRANSL, V57, P157
[7]  
GUILLOT JC, 1985, INRIA385 RAPP
[8]  
JOLY P, 1992, MATH METHOD APPL SCI, V12, P91
[9]  
JOLY P, 1988, MATH METH APPL SCI, V25, P1
[10]  
LENOIR M, 1988, SIAM J NUMER ANAL, V25