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In this paper we systematically study the optical extinction, local field enhancement, and resonance peak shift of basic single/double gold nanosphere system. We find that in the double gold nanosphere system, the incident light can excite the coupled resonance modes when the two gold nanospheres are approaching to each other, leading the local field to be enhanced greatly. Interestingly, limited by the scant volume of local field, the extinction coefficient of the double gold nanosphere system of 2 nm gap with a high local field enhancement factor is greatly reduced, so that its optical sensing sensitivity and extinction coefficient are smaller than the 5 nm gap system’s. Studies show that the optical sensing sensitivity of the double gold nanosphere system is not directly determined by the local field enhancement amplitude, but has a similar change behavior to the extinction coefficient of the system. These results can offer us a useful route and hint for designing the gold nanoparticle systems used in the surface Raman scattering enhancement and high performance optical sensing.
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Keywords:
- gold nanospheres /
- localized surface plasmon resonance /
- optical sensing /
- physical mechanism
[1] 虞华康, 刘伯东, 吴婉玲, 李志远 2019 物理学报 68 149101Google Scholar
Yu H K, Liu B D, Wu W L, Li Z Y 2019 Acta Phys. Sin. 68 149101Google Scholar
[2] Yu H K, Peng Y S, Yang Y, Li Z Y 2019 npj Comput. Mater. 5 45Google Scholar
[3] Hao E, Schatz G C 2004 J. Chem. Phys. 120 357Google Scholar
[4] Zhou F, Li Z Y, Liu Y, Xia Y N 2008 J. Phys. Chem. C 112 20233Google Scholar
[5] Liu S Y, Huang L, Li J F, Wang C, Li Q, Xu H X, Guo H L, Meng Z M, Shi Z, Li Z Y 2013 J. Phys. Chem. C 117 10636Google Scholar
[6] Kneipp K, Wang Y, Kneipp H, Perelman L T, Itzkan I, Dasari R R, Feld M S 1997 Phys. Rev. Lett. 78 1667Google Scholar
[7] Nie S, Emory S R 1997 Science 275 1102Google Scholar
[8] Xu H, Bjerneld E J, Käll M, Börjesson L 1999 Phys. Rev. Lett. 83 4357Google Scholar
[9] Hsieh Y H, Hsu B W, Peng K N, Lee K W, Chu C W, Chang S W, Lin H W, Yen T J, Lu Y J 2020 ACS Nano 14 11670Google Scholar
[10] Park S M, Lee K S, Kim J H, Yeon G J, Shin H H, Park S, Kim Z H 2020 J. Phys. Chem. Lett. 11 9313Google Scholar
[11] Luo Y, Wang Y C, Liu M Q, Zhu H, Chen O, Zou S L, Zhao J 2020 J. Phys. Chem. Lett. 11 2449Google Scholar
[12] Rastogi R, Arianfard H, Moss D, Juodkazis S, Adam P M, Krishnamoorthy S 2021 ACS Appl. Mater. Interfaces 13 9113Google Scholar
[13] Li Z Y 2018 Adv. Opt. Mater. 6 1701097Google Scholar
[14] Yu Y, Xiao T H, Wu Y Z, Li W J, Zeng Q G, Long L, Li Z Y 2020 Adv. Photonics 2 014002Google Scholar
[15] Mi X H, Wang Y Y, Li R, Sun M T, Zhang Z L, Zheng H R 2019 Nanophotonics 8 487Google Scholar
[16] Kim K H, Choe S H 2017 Plasmonics 12 855Google Scholar
[17] Oulton R F, Sorger V J, Zentgraf T, Ma R M, Gladden C, Dai L, Bartal G, Zhang X 2009 Nature 461 629Google Scholar
[18] Huo Y Y, Jia T Q, Zhang Y, Zhao H, Zhang S A, Feng D F, Sun Z R 2014 Appl. Phys. Lett. 104 113104Google Scholar
[19] Zhong X L, Li Z Y 2013 Phys. Rev. B 88 085101Google Scholar
[20] Li W, Ma C, Zhang L, Chen B, Chen L Y, Zeng H P 2019 Nanomaterials 9 251Google Scholar
[21] Yuan P, Ding X, Yang Y, Xu Q 2018 Adv. Healthc. Mater. 7 1701392Google Scholar
[22] Azharuddin M, Zhu G H, Das D, Ozgur E, Uzun L, Turner A P F, Patra H K 2019 Chem. Commun. 55 6964Google Scholar
[23] Ma X M, He S, Qiu B, Luo F, Guo L H, Lin Z Y 2019 ACS Sens. 4 782Google Scholar
[24] Chen H J, Kou X S, Yang Z, Ni W H, Wang J F 2008 Langmuir 24 5233Google Scholar
[25] Wang H Q, Rao H H, Luo M Y, Xue X, Xue Z H, Lu X Q 2019 Coord. Chem. Rev. 398 113003Google Scholar
[26] Kailasa S K, Koduru J R, Desai M L, Park T J, Singhal R K, Basu H 2018 TrAc, Trends Anal. Chem. 105 106Google Scholar
[27] Mayer K M, Hafner J H 2011 Chem. Rev. 111 3828Google Scholar
[28] Willets K A, Van Duyne R P 2007 Annu. Rev. Phys. Chem. 58 267Google Scholar
[29] Ctyroky J, Homola J, Lambeck P V, Musa S, Hoekstra H J W M, Harris R D, Wilkinson J S, Usievich B, Lyndin N M 1999 Sens. Actuator, B 54 66Google Scholar
[30] Fan Z K, Fang S B, Li S G, Wei Z Y 2019 Chin. Phys. B 28 094209Google Scholar
[31] Sobhani F, Heidarzadeh H, Bahador H 2020 Chin. Phys. B 29 068401Google Scholar
[32] Zhou J, Zhang J S, Xian G Y, Qi Q, Gu S Z, Shen C M, Cheng Z H, He S T, Yang H T 2019 Chin. Phys. B 28 083301Google Scholar
[33] Yang Y T, Zhang C H, Su C H, Ding Z N, Song Y, Chen Y G 2018 Chin. Phys. Lett. 35 096102Google Scholar
[34] Wiley B J, Im S H, Li Z Y, McLellan J, Siekkinen A, Xia Y N 2006 J. Phys. Chem. B 110 15666Google Scholar
[35] Medeghini F, Hettich M, Rouxel R, Santos S D S, Hermelin S, Pertreux E, Dias A T, Legrand F, Maioli P, Crut A, Vallee F, Miguel A S, Fatti N D 2018 ACS Nano 12 10310Google Scholar
[36] Roopak S, Pathak N K, Sharma R, Ji A, Pathak H, Sharma R P 2016 Plasmonics 11 1603Google Scholar
[37] Xu J X, Siriwardana K, Zhou Y D, Zou S L, Zhang D M 2018 Anal. Chem. 90 785Google Scholar
[38] Zheng P, Tang H B, Liu B T, Kasani S, Huang L, Wu N Q 2019 Nano Res. 12 63Google Scholar
[39] Li Z, Liu L, Fernandez-Dominguez A, Shi J, Gu C, Garcia-Vidal F, Luo Y 2019 Adv. Opt. Mater. 7 1900118Google Scholar
[40] Link S, EI-Sayed M 1999 J. Phys. Chem. B 103 8410Google Scholar
[41] Jeon H B, Tsalu P V, Ha J W 2019 Sci. Rep. 9 13635Google Scholar
[42] Zhou F, Liu Y, Li Z Y 2011 Chin. Phys. B 20 037303Google Scholar
[43] Zhang C, Chen B Q, Li Z Y, Xia Y N, Chen Y G 2015 J. Phys. Chem. C 119 16836Google Scholar
[44] Yeshchenko O A, Kozachenko V V, Naumenko A P, Berezovska N I, Kutsevol N V, Chumachenko V A, Haftel M, Pinchuk A O 2018 Photonics Nanostruct. 29 1Google Scholar
[45] Luk’yanchuk B, Zheludev N I, Maier S A, Halas N J, Nordlander P, Giessen H, Chong C T 2010 Nat. Mater. 9 707Google Scholar
[46] Lovera A, Gallinet B, Nordlander P, et al. 2013 ACS Nano 7 4527Google Scholar
[47] Movseyan A, Baudrion A L, Adam P M 2018 Opt. Express 26 6439Google Scholar
[48] Johnson P B, Christy R W 1972 Phys. Rev. B 6 4370Google Scholar
[49] 周飞 2011 博士学位论文 (北京: 中国科学院物理研究所)
Zhou F 2011 Ph. D. Dissertation (Beijing: Institute of Physics, Chinese Academy of Sciences) (in Chinese)
[50] Maier S A 2007 Plasmonics: Fundamentals and Applications (Springer: Berlin) p11
[51] Prodan E, Radloff C, Halas N J, Nordlander P 2003 Science 302 419Google Scholar
[52] Zhu W Q, Esteban R, Borisov A G, et al. 2016 Nat. Commun. 7 11495Google Scholar
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图 2 单金纳米球系统的消光谱、共振波长和电场分布 (a)不同背景折射率下的消光谱; (b)共振波长与背景折射率的关系; (c) n = 1.0时电场分布; (d) n = 1.3时电场分布
Figure 2. Extinction spectrum, resonance wavelength and electric field distribution of the single metal nanosphere system: (a) Extinction spectrum for different n; (b) relation between resonance wavelength and n; (c) electric field for n = 1.0; (d) electric field for n = 1.3.
图 4 空气中双金纳米球系统在共振频率处的近场分布 (a) w = 2 nm (λp = 616 nm); (b) w = 5 nm (λp = 634 nm); (c) w =10 nm (λp = 594 nm); (d) w = 20 nm (λp = 571 nm)
Figure 4. Near-field distribution of the bimetallic nanosphere system in the air at the resonance frequency: (a) w = 2 nm (λp = 616 nm); (b) w = 5 nm (λp = 634 nm); (c) w = 10 nm (λp = 594 nm); (d) w = 20 nm (λp = 571 nm).
图 5 不同间隙的双金纳米球系统 (a) LSPR共振波长λp与背景折射率n的关系; (b)消光谱; (c)共振峰处的最大场增强因子γ; (d)共振峰处的消光系数
Figure 5. Bimetallic gold nanosphere system with different w: (a) Relationship between λp and background index n; (b) extinction spectrum; (c) maximum field enhancement for resonance peak; (d) extinction for resonance peak.
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[1] 虞华康, 刘伯东, 吴婉玲, 李志远 2019 物理学报 68 149101Google Scholar
Yu H K, Liu B D, Wu W L, Li Z Y 2019 Acta Phys. Sin. 68 149101Google Scholar
[2] Yu H K, Peng Y S, Yang Y, Li Z Y 2019 npj Comput. Mater. 5 45Google Scholar
[3] Hao E, Schatz G C 2004 J. Chem. Phys. 120 357Google Scholar
[4] Zhou F, Li Z Y, Liu Y, Xia Y N 2008 J. Phys. Chem. C 112 20233Google Scholar
[5] Liu S Y, Huang L, Li J F, Wang C, Li Q, Xu H X, Guo H L, Meng Z M, Shi Z, Li Z Y 2013 J. Phys. Chem. C 117 10636Google Scholar
[6] Kneipp K, Wang Y, Kneipp H, Perelman L T, Itzkan I, Dasari R R, Feld M S 1997 Phys. Rev. Lett. 78 1667Google Scholar
[7] Nie S, Emory S R 1997 Science 275 1102Google Scholar
[8] Xu H, Bjerneld E J, Käll M, Börjesson L 1999 Phys. Rev. Lett. 83 4357Google Scholar
[9] Hsieh Y H, Hsu B W, Peng K N, Lee K W, Chu C W, Chang S W, Lin H W, Yen T J, Lu Y J 2020 ACS Nano 14 11670Google Scholar
[10] Park S M, Lee K S, Kim J H, Yeon G J, Shin H H, Park S, Kim Z H 2020 J. Phys. Chem. Lett. 11 9313Google Scholar
[11] Luo Y, Wang Y C, Liu M Q, Zhu H, Chen O, Zou S L, Zhao J 2020 J. Phys. Chem. Lett. 11 2449Google Scholar
[12] Rastogi R, Arianfard H, Moss D, Juodkazis S, Adam P M, Krishnamoorthy S 2021 ACS Appl. Mater. Interfaces 13 9113Google Scholar
[13] Li Z Y 2018 Adv. Opt. Mater. 6 1701097Google Scholar
[14] Yu Y, Xiao T H, Wu Y Z, Li W J, Zeng Q G, Long L, Li Z Y 2020 Adv. Photonics 2 014002Google Scholar
[15] Mi X H, Wang Y Y, Li R, Sun M T, Zhang Z L, Zheng H R 2019 Nanophotonics 8 487Google Scholar
[16] Kim K H, Choe S H 2017 Plasmonics 12 855Google Scholar
[17] Oulton R F, Sorger V J, Zentgraf T, Ma R M, Gladden C, Dai L, Bartal G, Zhang X 2009 Nature 461 629Google Scholar
[18] Huo Y Y, Jia T Q, Zhang Y, Zhao H, Zhang S A, Feng D F, Sun Z R 2014 Appl. Phys. Lett. 104 113104Google Scholar
[19] Zhong X L, Li Z Y 2013 Phys. Rev. B 88 085101Google Scholar
[20] Li W, Ma C, Zhang L, Chen B, Chen L Y, Zeng H P 2019 Nanomaterials 9 251Google Scholar
[21] Yuan P, Ding X, Yang Y, Xu Q 2018 Adv. Healthc. Mater. 7 1701392Google Scholar
[22] Azharuddin M, Zhu G H, Das D, Ozgur E, Uzun L, Turner A P F, Patra H K 2019 Chem. Commun. 55 6964Google Scholar
[23] Ma X M, He S, Qiu B, Luo F, Guo L H, Lin Z Y 2019 ACS Sens. 4 782Google Scholar
[24] Chen H J, Kou X S, Yang Z, Ni W H, Wang J F 2008 Langmuir 24 5233Google Scholar
[25] Wang H Q, Rao H H, Luo M Y, Xue X, Xue Z H, Lu X Q 2019 Coord. Chem. Rev. 398 113003Google Scholar
[26] Kailasa S K, Koduru J R, Desai M L, Park T J, Singhal R K, Basu H 2018 TrAc, Trends Anal. Chem. 105 106Google Scholar
[27] Mayer K M, Hafner J H 2011 Chem. Rev. 111 3828Google Scholar
[28] Willets K A, Van Duyne R P 2007 Annu. Rev. Phys. Chem. 58 267Google Scholar
[29] Ctyroky J, Homola J, Lambeck P V, Musa S, Hoekstra H J W M, Harris R D, Wilkinson J S, Usievich B, Lyndin N M 1999 Sens. Actuator, B 54 66Google Scholar
[30] Fan Z K, Fang S B, Li S G, Wei Z Y 2019 Chin. Phys. B 28 094209Google Scholar
[31] Sobhani F, Heidarzadeh H, Bahador H 2020 Chin. Phys. B 29 068401Google Scholar
[32] Zhou J, Zhang J S, Xian G Y, Qi Q, Gu S Z, Shen C M, Cheng Z H, He S T, Yang H T 2019 Chin. Phys. B 28 083301Google Scholar
[33] Yang Y T, Zhang C H, Su C H, Ding Z N, Song Y, Chen Y G 2018 Chin. Phys. Lett. 35 096102Google Scholar
[34] Wiley B J, Im S H, Li Z Y, McLellan J, Siekkinen A, Xia Y N 2006 J. Phys. Chem. B 110 15666Google Scholar
[35] Medeghini F, Hettich M, Rouxel R, Santos S D S, Hermelin S, Pertreux E, Dias A T, Legrand F, Maioli P, Crut A, Vallee F, Miguel A S, Fatti N D 2018 ACS Nano 12 10310Google Scholar
[36] Roopak S, Pathak N K, Sharma R, Ji A, Pathak H, Sharma R P 2016 Plasmonics 11 1603Google Scholar
[37] Xu J X, Siriwardana K, Zhou Y D, Zou S L, Zhang D M 2018 Anal. Chem. 90 785Google Scholar
[38] Zheng P, Tang H B, Liu B T, Kasani S, Huang L, Wu N Q 2019 Nano Res. 12 63Google Scholar
[39] Li Z, Liu L, Fernandez-Dominguez A, Shi J, Gu C, Garcia-Vidal F, Luo Y 2019 Adv. Opt. Mater. 7 1900118Google Scholar
[40] Link S, EI-Sayed M 1999 J. Phys. Chem. B 103 8410Google Scholar
[41] Jeon H B, Tsalu P V, Ha J W 2019 Sci. Rep. 9 13635Google Scholar
[42] Zhou F, Liu Y, Li Z Y 2011 Chin. Phys. B 20 037303Google Scholar
[43] Zhang C, Chen B Q, Li Z Y, Xia Y N, Chen Y G 2015 J. Phys. Chem. C 119 16836Google Scholar
[44] Yeshchenko O A, Kozachenko V V, Naumenko A P, Berezovska N I, Kutsevol N V, Chumachenko V A, Haftel M, Pinchuk A O 2018 Photonics Nanostruct. 29 1Google Scholar
[45] Luk’yanchuk B, Zheludev N I, Maier S A, Halas N J, Nordlander P, Giessen H, Chong C T 2010 Nat. Mater. 9 707Google Scholar
[46] Lovera A, Gallinet B, Nordlander P, et al. 2013 ACS Nano 7 4527Google Scholar
[47] Movseyan A, Baudrion A L, Adam P M 2018 Opt. Express 26 6439Google Scholar
[48] Johnson P B, Christy R W 1972 Phys. Rev. B 6 4370Google Scholar
[49] 周飞 2011 博士学位论文 (北京: 中国科学院物理研究所)
Zhou F 2011 Ph. D. Dissertation (Beijing: Institute of Physics, Chinese Academy of Sciences) (in Chinese)
[50] Maier S A 2007 Plasmonics: Fundamentals and Applications (Springer: Berlin) p11
[51] Prodan E, Radloff C, Halas N J, Nordlander P 2003 Science 302 419Google Scholar
[52] Zhu W Q, Esteban R, Borisov A G, et al. 2016 Nat. Commun. 7 11495Google Scholar
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