The Analysis of Ag Nanospheres and Arrays LSPR Phenomena Based on DDA and FDTD Method


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The Discrete Dipole Approximation (DDA) method and the Finite Difference Time Domain (FDTD) method are used to analyze silver nanospheres with different radius and the coupling of nanospheres array complementarily. DDA method is used for simulating the extinction spectra of single silver nanosphere and nanospheres array; and the coupling of two nanospheres and their surrounding electric field distribution are simulated by FDTD method. Through these results, we got some important conclusions of nanoparticles’ Localized Surface Plasmon Resonance (LSPR) phenomenon.



Edited by:

Wu Fan




W. Zhang et al., "The Analysis of Ag Nanospheres and Arrays LSPR Phenomena Based on DDA and FDTD Method", Applied Mechanics and Materials, Vols. 110-116, pp. 3860-3866, 2012

Online since:

October 2011





[1] David Thompson. Michael Faraday's Recognition of Ruby Gold: the Birth of Modern Nanotechnology References[J]. Gold Bulletin , 2007, 40(4): 267-269.


[2] Prashant K J, Ivan H E. An nanoparticles target cancer[J]. Nanotoday, 2002, 2: 19-29.

[3] Jeffrey M, McMahon. Gold nanoparticle dimer plasmonics: finite element method calculations of the electromagnetic enhancement to surface-enhanced Raman spectroscopy[J]. Anal Bioanal Chem, 2009, 394: 1819–1825.


[4] Moharam M G, Gaylord T K. Rigorous coupled-wave analysis of planar-grating diffraction [J]. Opt. Soc. Am, 1981, 71(7): 811-818.


[5] Draine B T. The discrete-dipole approximation andIts application to interstellar graphite grains [J]. The Astrophysical Journal, 1988, 333(22): 848~872.


[6] Yao H M, Li Z, Gong Q H. Coupling-induced excitation of a forbidden surface plasmon mode of a gold nanorod. [J]. Sci China Ser G-Phys Mech Astron, 2009, 52(8): 1129-1138.


[7] Zhou Fei, Li Zhi-Yuan. Quantitative Analysis of Dipole and Quadrupole Excitation in the Surface Plasmon Resonance of Metal Nanoparticles[J]. J. Phys. Chem. C, 2008, 112: 20233–20240.


[8] DeVoe H. Optical properties of molecular aggregates.I. Classical model of electronic absorption and refraction[J]. J. Chem. Phys, 1964, 41, 393-400.


[9] Yang W H, Schatz G C. Discrete dipole approximation for calculating extinction and Raman intensities for small particles with arbitrary shapes[J]. J. Chem. Phys, 1995, 103: 869-875.


[10] Kelly K L, Lazarides A A, Schatz G C. Computational electromaganetics of metal nanoparticles and their aggregates[J]. Nnao technology, 2001, 12: 67-73.

[11] Kane Yee. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media[J]. IEEE Transactions on Antennas and Propagation, 1966, 14: 302–307.


[12] Zhang Hai-xi, Gu Ying, Gong Qi-huang. A visible-near infrared tunable waveguide based on plasmonic gold nanoshell[J]. Chinese Phys. B, 2008, 17(7): 2567-2573.


[13] Edward D Palik. Handbook of Optical Constants of Solids [M]. Washington DC: Academic press, 1985. 286-297, 350-359.

[14] Wilcoxon J P, Samara G A. Tailorable, visible light emission from silicon nanocrystals[J]. Applied Physics Letters, 1999, 74(21): 3164-3166.


[15] Gai Hongfeng. Modified Debye model parameters of metals applicable for broadband calculations[J]. Applied Optics, 2007, 46(12): 2229: 2233.


[16] Guo WeiJie, Zhang Yuan. Study of radius effect extinction crosssection of silver-nanopart icles[J]. Journal of Xinjiang University, 2008, 25(2): 187-189.

[17] Christy L H, Richard P V. Nanosphere Lithography: A Versatile Nanofabrication Tool for Studies of Size-DependentNanoparticle Optics[J]. J. Phys. Chem. B, 2001, 105: 5599-5611.