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The optical properties of nanoparticles and their array are closely related to their surface plasmon resonance of the particle and periodic structure parameters. In this paper, optical response features of single Ag nanosphere and periodical two-dimensional structure arrays are theoretically studied. The Mie theories and the multipole resonance theory are employed in the simulation. For Ag spheres each with a radius of less than 40 nm, one extinction peak can be observed and attributed to electric dipole resonance. When the radius of Ag sphere is more than 40 nm, apart from the peak contributed by the electric dipole, there is a peak of extinction at short wavelength, caused by resonance of the electric quadrupole. Generally, the frequency of multipole resonance decreases with increasing particle radius. The simulated results are in accord with the experimental data. For an infinite two-dimensional Ag-nanosphere arrays, two resonance peaks come from the dipole resonance of single particle and the Wood-Rayleigh anomalous diffraction. The frequency of multipole resonance can be controlled by tuning the size and the periodicity distribution of arrays. This paper provides a significant method to design advanced nanostructures with particular optical properties.
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Keywords:
- Ag-nanoparticle /
- periodical arrays /
- extinction efficiency /
- multipole resonance
[1] Akerman M E, Chan W C W, Laakkonen P, Bhatia S N, Ruoslahti E 2002 Proc. Natl. Acad. Sci. 99 12617
[2] Santra S, Zhang P, Wang K M, Tapec R, Tan W H 2001 Anal. Chem. 73 4988
[3] Meng L J, Zhang K W, Zhong J X 2007 Acta Phys. Sin. 56 1009 (in Chinese)[孟利军, 张凯旺, 钟建新2007 56 1009]
[4] Wang Z Y, Zhang R J, Wang S Y, Lu M, Chen X, Zheng Y X, Chen L Y, Ye Z, Wang C Z, Ho K M 2015 Sci. Rep. 5 7810
[5] Yerci S, Li R, Dal Negro L 2010 Appl. Phys. Lett. 97 081109
[6] McMahon J M, Schatz G C, Gray S K 2013 Phys. Chem. Chem. Phys. 15 5415
[7] Liu Y H, Zi W, Liu S Z, Yan B J 2015 Sol. Energy. Mater. Sol. Cells 140 180
[8] Kim U J, Yoo S, Park Y, Shin M, Kim J, Jeong H, Baik C W, Roh Y G, Lee J, Im K, Son H, Hwang S, Lee C W, Park S 2015 Acs Photonics 2 506
[9] Cottancin E, Celep G, Lerme J, Pellarin M, Huntzinger J R, Vialle J L, Broyer M 2006 Theor. Chem. Acc. 116 514
[10] Huang W Y, Qian W, El-Sayed M A 2005 J. Phys. Chem. B 109 18881
[11] Paramelle D, Sadovoy A, Gorelik S, Free P, Hobley J, Fernig D G 2014 Analyst 139 4855
[12] Chen F Y, Johnston R L 2009 Plasmonics 4 147
[13] Lazzari R, Jupille J, Cavallotti R, Simonsen I 2014 J. Phys. Chem. C 118 7032
[14] Bohren C F, Huffman D R 1983 Absorption and Scattering of Light by Small Particles. (New York:Wiley) pp99-101
[15] Draine B T, Flatau P J 1994 J. Opt. Soc. Am. A 11 1491
[16] Flatau P J, Draine B T 2012 Opt. Express 20 1247
[17] Lerme J, Bonnet C, Broyer M, Cottancin E, Marhaba S, Pellarin M 2008 Phys. Rev. B 77 245406
[18] Li S Q, Qi W H 2014 Acta Phys. Sin. 63 117802 (in Chinese)[李思祺, 齐卫宏2014 63 117802]
[19] Yin C, Xu T, Chen B Y, Han Q B 2015 Acta Phys. Sin. 64 164202 (in Chinese)[殷澄, 许田, 陈秉岩, 韩庆邦2015 64 164202]
[20] Almpanis E, Papanikolaou N 2016 J. Opt. Soc. Am. B-Opt. Phys. 33 99
[21] Evlyukhin A B, Reinhardt C, Seidel A, Luk'yanchuk B S, Chichkov B N 2010 Phys. Rev. B 82 045404
[22] Auguie B, Barnes W L 2008 Phys. Rev. Lett. 101 143902
[23] Agnihotri S, Mukherji S, Mukherji S 2014 Rsc Adv. 4 3974
[24] Fedotov V A, Rogacheva A V, Savinov V, Tsai D P, Zheludev N I 2013 Sci. Rep. 3 2967
[25] Miroshnichenko A E, Evlyukhin A B, Yu Y F, Bakker R M, Chipouline A, Kuznetsov A I, Luk'yanchuk B, Chichkov B N, Kivshar Y S 2015 Nat. Commun. 6 8069
[26] Rayleigh L 1907 Philos. Mag. 14 60
[27] Hessel A, Oliner A A 1965 Appl. Opt. 4 1275
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[1] Akerman M E, Chan W C W, Laakkonen P, Bhatia S N, Ruoslahti E 2002 Proc. Natl. Acad. Sci. 99 12617
[2] Santra S, Zhang P, Wang K M, Tapec R, Tan W H 2001 Anal. Chem. 73 4988
[3] Meng L J, Zhang K W, Zhong J X 2007 Acta Phys. Sin. 56 1009 (in Chinese)[孟利军, 张凯旺, 钟建新2007 56 1009]
[4] Wang Z Y, Zhang R J, Wang S Y, Lu M, Chen X, Zheng Y X, Chen L Y, Ye Z, Wang C Z, Ho K M 2015 Sci. Rep. 5 7810
[5] Yerci S, Li R, Dal Negro L 2010 Appl. Phys. Lett. 97 081109
[6] McMahon J M, Schatz G C, Gray S K 2013 Phys. Chem. Chem. Phys. 15 5415
[7] Liu Y H, Zi W, Liu S Z, Yan B J 2015 Sol. Energy. Mater. Sol. Cells 140 180
[8] Kim U J, Yoo S, Park Y, Shin M, Kim J, Jeong H, Baik C W, Roh Y G, Lee J, Im K, Son H, Hwang S, Lee C W, Park S 2015 Acs Photonics 2 506
[9] Cottancin E, Celep G, Lerme J, Pellarin M, Huntzinger J R, Vialle J L, Broyer M 2006 Theor. Chem. Acc. 116 514
[10] Huang W Y, Qian W, El-Sayed M A 2005 J. Phys. Chem. B 109 18881
[11] Paramelle D, Sadovoy A, Gorelik S, Free P, Hobley J, Fernig D G 2014 Analyst 139 4855
[12] Chen F Y, Johnston R L 2009 Plasmonics 4 147
[13] Lazzari R, Jupille J, Cavallotti R, Simonsen I 2014 J. Phys. Chem. C 118 7032
[14] Bohren C F, Huffman D R 1983 Absorption and Scattering of Light by Small Particles. (New York:Wiley) pp99-101
[15] Draine B T, Flatau P J 1994 J. Opt. Soc. Am. A 11 1491
[16] Flatau P J, Draine B T 2012 Opt. Express 20 1247
[17] Lerme J, Bonnet C, Broyer M, Cottancin E, Marhaba S, Pellarin M 2008 Phys. Rev. B 77 245406
[18] Li S Q, Qi W H 2014 Acta Phys. Sin. 63 117802 (in Chinese)[李思祺, 齐卫宏2014 63 117802]
[19] Yin C, Xu T, Chen B Y, Han Q B 2015 Acta Phys. Sin. 64 164202 (in Chinese)[殷澄, 许田, 陈秉岩, 韩庆邦2015 64 164202]
[20] Almpanis E, Papanikolaou N 2016 J. Opt. Soc. Am. B-Opt. Phys. 33 99
[21] Evlyukhin A B, Reinhardt C, Seidel A, Luk'yanchuk B S, Chichkov B N 2010 Phys. Rev. B 82 045404
[22] Auguie B, Barnes W L 2008 Phys. Rev. Lett. 101 143902
[23] Agnihotri S, Mukherji S, Mukherji S 2014 Rsc Adv. 4 3974
[24] Fedotov V A, Rogacheva A V, Savinov V, Tsai D P, Zheludev N I 2013 Sci. Rep. 3 2967
[25] Miroshnichenko A E, Evlyukhin A B, Yu Y F, Bakker R M, Chipouline A, Kuznetsov A I, Luk'yanchuk B, Chichkov B N, Kivshar Y S 2015 Nat. Commun. 6 8069
[26] Rayleigh L 1907 Philos. Mag. 14 60
[27] Hessel A, Oliner A A 1965 Appl. Opt. 4 1275
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