Effective dielectric constant of composite medium containing ellipsoid nanoparticles
-
摘要: 利用S参数反演与MG(Maxwell-Garnett)有效介质理论计算了含椭球纳米颗粒复合介质的等效介电常数,考虑椭球体积分数和长宽比的影响,分析了两种等效模型的适用性。结果发现S参数反演对掺杂颗粒的形状和体积分数变化适应性较好,在所考虑的体积分数和长宽比下都能完美适用;而MG有效介质理论受体积分数和长宽比的影响较大,当椭球的长宽比为2、3或4时,其适用的最高体积分数分别为8%、4%或2%,因此随着椭球逐渐变扁,MG有效介质理论的适用范围会不断降低。
-
关键词:
- 局域表面等离子体共振 /
- 复合介质 /
- 等效介电常数 /
- S参数反演 /
- Maxwell-Garnett理论
Abstract: The S-parameter retrieval and MG (Maxwell-Garnett) effective medium theory were employed to calculate the effective dielectric constant of composite medium containing ellipsoid nanoparticles. Two influential factors, including volume fraction and aspect ratio of ellipsoid, were considered to analyze the applicability of the two effective models. Results showed that S-parameter retrieval had better adaptability to changes in shape and volume fraction of doped nanoparticles. In the considered volume fractions and aspect ratios, the S-parameter retrieval was well applicable. However, the MG effective medium theory was easily affected by the volume fraction and aspect ratio. When the aspect ratio of ellipsoid was 2, 3 or 4, the maximum volume fraction under applicable MG effective medium theory was 8%, 4% or 2%. Therefore, as the ellipsoid becomes flattened, the applicable range of MG effective medium theory will continue to decrease. -
[1] KELLY K L,CORONADO E,ZHAO L L,et al.The optical properties of metal nanoparticles:the influence of size,shape,and dielectric environment[J].The Journal of Physical Chemistry B,2003,107(3):668-677. [2] LU L,LUO Z,XU T,et al.Cooperative plasmonic effect of Ag and Au nanoparticles on enhancing performance of polymer solar cells[J].Nano Letters,2012,13(1):59-64. [3] NOTARIANNI M,VERNON K,CHOU A,et al.Plasmonic effect of gold nanoparticles in organic solar cells[J].Solar Energy,2014,106:23-37. [4] HOU W,LIU Z,PAVASKAR P,et al.Plasmonic enhancement of photocatalytic decomposition of methyl orange under visible light[J].Journal of Catalysis,2011,277(2):149-153. [5] HEDAYATI M K,ZILLOHU A U,STRUNSKUS T,et al.Plasmonic tunable metamaterial absorber as ultraviolet protection film[J].Applied Physics Letters,2014,104(4):041103.1-041103.5. [6] CHOY T C.Effective medium theory:principles and applications[M].2nd ed.New York:Oxford University Press,2015. [7] SMITH D R,SCHULTZ S,MARKO P,et al.Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients[J].Physical Review B,2002,65(19):195104.1-195104.5. [8] ETRICH C,FAHR S,HEDAYATI M K,et al.Effective optical properties of plasmonic nanocomposites[J].Materials,2014,7(2):727-741. [9] LU J Y,RAZA A,FANG N X,et al.Effective dielectric constants and spectral density analysis of plasmonic nanocomposites[J].Journal of Applied Physics,2016,120(16):163103.1-163103.13. [10] 王希影.掺杂物形状对混合粒子等效光学常数的影响[J].航空动力学报,2015,30(3):672-676.WANG Xiying.Inclusion shapes effects on effective optical constants of mixed particles[J].Journal of Aerospace Power,2015,30(3):672-676.(in Chinese) [11] RESANO-GARCIA A,BATTIE Y,NACIRI A E,et al.Experimental and theoretical determination of the plasmonic responses and shape distribution of colloidal metallic nanoparticles[J].The Journal of Chemical Physics,2015,142(13):134108.1-134108.9. [12] LEE S H,JANG S P.Extinction coefficient of aqueous nanofluids containing multi-walled carbon nanotubes[J].International Journal of Heat and Mass Transfer,2013,67:930-935. [13] CHEN X,GRZEGORCZYK T M,WU B I,et al.Robust method to retrieve the constitutive effective parameters of metamaterials[J].Physical Review E,2004,70(1):016608.1-016608.7. [14] SMITH D R,VIER D C,KOSCHNY T,et al.Electromagnetic parameter retrieval from inhomogeneous metamaterials[J].Physical Review E,2005,71(3):036617.1-036617.11. [15] NIKLASSON G,LANSKER P C,LI SY,et al.Plasmonic thin films for application in improved chromogenic windows[J].Journal of Physics,2016,682:012003.1-012003.9. [16] BOHREN C F,HUFFMAN D R.Absorption and scattering of light by small particles[M].New York:Wiley,1998. [17] CORONADO E A,SCHATZ G C.Surface plasmon broadening for arbitrary shape nanoparticles:a geometrical probability approach[J].The Journal of Chemical Physics,2003,119(7):3926-3934. [18] JOHNSON P B,CHRISTY R W.Optical constants of the noble metals[J].Physical Review B,1972,6(12):4370-4379.
点击查看大图
计量
- 文章访问数: 481
- HTML浏览量: 2
- PDF量: 429
- 被引次数: 0