Low frequency corrections to the static effective dielectric constant of a two-dimensional composite material

被引:32
作者
McPhedran, RC [1 ]
Poulton, CG [1 ]
Nicorovici, NA [1 ]
Movchan, AB [1 ]
机构
[1] UNIV BATH, SCH MATH SCI, BATH BA2 7AY, AVON, ENGLAND
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1996年 / 452卷 / 1953期
基金
英国工程与自然科学研究理事会; 澳大利亚研究理事会;
关键词
D O I
10.1098/rspa.1996.0119
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We derive the first dynamic correction to the effective refractive index for a square array of cylinders (of finite or infinite refractive index), subject to a lo iv frequency incident radiation. This correction also imposes constraints on the wavenumber region for which the Lorentz-Lorenz formula in two dimensions is accurate.
引用
收藏
页码:2231 / 2245
页数:15
相关论文
共 25 条
[1]  
[Anonymous], 1892, PHILOS MAG, DOI DOI 10.1080/14786449208620364
[2]  
Ashcroft N.W., 1976, Solid state physics Holt, Rinehart and Winston, Vfirst
[3]   DIFFRACTION GRATINGS IN THE QUASI-STATIC LIMIT [J].
BELL, JM ;
DERRICK, GH ;
MCPHEDRAN, RC .
OPTICA ACTA, 1982, 29 (11) :1475-1489
[4]  
BOTTEN LC, 1994, PROGR ELECTROMAGNETI
[5]   GREENS-FUNCTION AND LATTICE SUMS FOR ELECTROMAGNETIC SCATTERING BY A SQUARE ARRAY OF CYLINDERS [J].
CHIN, SK ;
NICOROVICI, NA ;
MCPHEDRAN, RC .
PHYSICAL REVIEW E, 1994, 49 (05) :4590-4602
[6]   EFFECTIVE DIELECTRIC-CONSTANT OF PERIODIC COMPOSITE STRUCTURES [J].
DATTA, S ;
CHAN, CT ;
HO, KM ;
SOUKOULIS, CM .
PHYSICAL REVIEW B, 1993, 48 (20) :14936-14943
[7]   THEOREM ON CONDUCTIVITY OF COMPOSITE MEDIUM [J].
KELLER, JB .
JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (04) :548-&
[8]   LONG-WAVELENGTH ELECTROMAGNETIC PROPAGATION IN HETEROGENEOUS MEDIA [J].
LAMB, W ;
WOOD, DM ;
ASHCROFT, NW .
PHYSICAL REVIEW B, 1980, 21 (06) :2248-2266
[9]   THE RAYLEIGH MULTIPOLE METHOD FOR LINEAR ELASTICITY [J].
MCPHEDRAN, RC ;
MOVCHAN, AB .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1994, 42 (05) :711-727
[10]  
MCPHEDRAN RC, 1992, J ELECTROMAGNET WAVE, V6, P1327