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Terahertz scattering scanning near-field optical microscopy (s-SNOM), as an important means to break through the limits of conventional optical diffraction, can achieve super-resolution imaging on a nanoscale and has a wide range of applications in biological nano-imaging, terahertz nano-spectroscopy, nanomaterials imaging, and the study of polarized excitations. As an important component of the terahertz s-SNOM, the atomic force microscope tip plays a key role in implementing the near-field excitation, detection, and enhancement. However, the tip-sample interaction can greatly affect the results. In this paper, the effects of tip-sample interaction on near-field excitation, near-field detection, and terahertz near-field spectrum in terahertz s-SNOM are revealed through simulations and experiments. First, the wave vector coupling weight of the near field excited by the tip is investigated, and it is found that the wave vector is concentrated mainly on the order of 105 cm–1, which differs from that of the general terahertz excitations by 2 to 3 orders of magnitude, indicating that the terahertz near field is difficult to excite terahertz excitations. Secondly, through theoretical and experimental studies, it is found that the metal tip interferes with the surface near-field of the graphene disk structure, which indicates the limitations of the terahertz s-SNOM in probing the near-field distribution of the structure. Finally, the influence of the tip on the near-field spectrum is studied. It is found that the tip length and cantilever length are important parameters affecting the near-field spectrum, and the influence of the tip on the near-field spectrum can be reduced by increasing the tip length or cantilever length.
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Keywords:
- tip-sample interactions /
- terahertz near-field spectrum
[1] Alonso-Gonzalez P, Nikitin A Y, Gao Y, Woessner A, Lundeberg M B, Principi A, Forcellini N, Yan W, Velez S, Huber A J, Watanabe K, Taniguchi T, Casanova F, Hueso L E, Polini M, Hone J, Koppens F H L, Hillenbrand R 2017 Nat. Nanotechnol. 12 31Google Scholar
[2] Soltani A, Kuschewski F, Bonmann M, Generalov A, Vorobiev A, Ludwig F, Wiecha M M, Cibiraite D, Walla F, Winnerl S, Kehr S C, Eng L M, Stake J, Roskos H G 2020 Light Sci. Appl. 9 97Google Scholar
[3] Stinson H T, Sternbach A, Najera O, Jing R, Mcleod A S, Slusar T V, Mueller A, Anderegg L, Kim H T, Rozenberg M, Basov D N 2018 Nat. Commun. 9 1Google Scholar
[4] Yang Z, Tang D, Hu J, Tang M, Zhang M, Cui H L, Wang L, Chang C, Fan C, Li J, Wang H 2020 Small 17 2005814Google Scholar
[5] Shigekawa H, Yoshida S, Takeuchi O 2014 Nat. Photonics 8 815Google Scholar
[6] McLeod A S, Kelly P, Goldflam M D, Gainsforth Z, Westphal A J, Dominguez G, Thiemens M H, Fogler M M, Basov D N 2014 Phys. Rev. B 90 085136Google Scholar
[7] Babicheva V E, Gamage S, Stockman M I, Abate Y 2017 Opt. Express 25 23935Google Scholar
[8] Chen X, Liu X, Guo X, Chen S, Hu H, Nikulina E, Ye X, Yao Z, Bechtel H A, Martin M C, Carr G L, Dai Q, Zhuang S, Hu Q, Zhu Y, Hillenbrand R, Liu M, You G 2020 ACS Photonics 7 687Google Scholar
[9] Mooshammer F, Plankl M, Siday T, Zizlsperger M, Sandner F, Vitalone R, Jing R, Huber M A, Basov D N, Huber R 2021 Opt. Lett. 46 3572Google Scholar
[10] Zhang Z, Hu M, Zhang X, Wang Y, Zhang T, Xu X, Zhao T, Wu Z, Zhong R, Liu D, Wei Y, Gong Y, Liu S 2021 Appl. Phys. Express 14 102004Google Scholar
[11] Zayats A V, Smolyaninov, I I 2003 J. Opt. A-Pure and Appl. Op. 5 S16Google Scholar
[12] Fei Z, Andreev G O, Bao W, Zhang L M, McLeod A S, Wang C, Stewart M K, Zhao Z, Dominguez G, Thiemens M, Fogler M M, Tauber M J, Castro-Neto A H, Lau C N, Keilmann F, Basov D N 2011 Nano Lett. 11 4701Google Scholar
[13] Fei Z, Rodin A S, Andreev G O, Bao W, McLeod A S, Wagner M, Zhang L M, Zhao Z, Thiemens M, Dominguez G, Fogler M M, Castro Neto A H, Lau C N, Keilmann F, Basov D N 2012 Nature 487 82Google Scholar
[14] Fei Z, Goldflam M D, Wu J S, Dai S, Wagner M, McLeod A S, Liu M K, Post K W, Zhu S, Janssen G C A M, Fogler M M, Basov D N 2015 Nano Lett. 15 8271Google Scholar
[15] Luo W, Cai W, Xiang Y, Wu W, Shi B, Jiang X, Zhang N, Ren M, Zhang X, Xu J 2017 Adv. Mater. 29 1701083Google Scholar
[16] Duan J, Capote-Robayna N, Taboada-Gutierrez J, Alvarez-Perez G, Prieto I, Martin-Sanchez J, Nikitin A Y, Alonso-Gonzalez P 2020 Nano Lett. 20 5323Google Scholar
[17] Zhang Y, Hu C, Lyu B, Li H, Ying Z, Wang L, Deng A, Luo X, Gao Q, Chen J, Du J, Shen P, Watanabe K, Taniguchi T, Kang J H, Wang F, Zhang Y, Shi Z 2020 Nano Lett. 20 2770Google Scholar
[18] Venuthurumilli P K, Wen X L, Iyer V, Chen Y P, Xu X F 2019 ACS Photonics 6 2492Google Scholar
[19] Gerber J A, Berweger S, O'Callahan B T, Raschke M B 2014 Phys. Rev. Lett. 113 055502Google Scholar
[20] Carney P S, Deutsch B, Govyadinov A A, Hillenbrand R 2012 ACS Nano 6 8Google Scholar
[21] 段嘉华, 陈佳宁 2019 物理学报 68 110701Google Scholar
Duan J H, Chen J N 2019 Acta Phys. Sin. 68 110701Google Scholar
[22] Zhang J, Chen X, Mills S, Ciavatti T, Yao Z, Mescall R, Hu H, Semenenko V, Fei Z, Li H, Perebeinos V, Tao H, Dai Q, Du X, Liu M 2018 ACS Photonics 5 2645Google Scholar
[23] Ahn J S, Kihm H W, Kihm J E, Kim D S, Lee K G 2009 Opt. Express 17 2280Google Scholar
[24] Neuman T, Alonso-González P, Garcia-Etxarri A, Schnell M, Hillenbrand R, Aizpurua J 2015 Laser Photonics Rev. 9 637Google Scholar
[25] Cvitkovic A, Ocelic N, Hillenbrand R 2007 Opt. Express 15 8550Google Scholar
[26] Maissen C, Chen S, Nikulina E, Govyadinov A, Hillenbrand R 2019 ACS Photonics 6 1279Google Scholar
[27] Siday T, Hale L L, Hermans R I, Mitrofanov O 2020 ACS Photonics 7 596Google Scholar
[28] Mastel S, Lundeberg M B, Alonso-Gonzale P, Gao Y, Watanabe K, Taniguchi T, Hone J, Koppen F H L, Nikitin A Y, Hillenbrand R 2017 Nano Lett. 17 6526Google Scholar
[29] Siday T, Natrella M, Wu J, Liu H, Mitrofanov O 2017 Opt. Express 25 27874Google Scholar
[30] Moon K, Park H, Kim J, Do Y, Lee S, Lee G, Kang H, Han H 2015 Nano Lett. 15 549Google Scholar
[31] Moon K, Do Y, Park H, Kim J, Kang H, Lee G, Lim J H, Kim J W, Han H 2019 Sci. Rep. 9 169158Google Scholar
[32] Wang Y Y, Hu M, Zhang Z C, Zhang T Y, Gong S, Wang W, Liu S G 2019 44th International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz) Maison de la Chimie, France, September 1−6, 2019 pp1,2
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图 6 不同长度悬臂的探针的仿真结果 (a)时域谱; (b)频域谱; (c)仿真模型; (d)长悬臂探针的时域谱; (e)长悬臂探针的频域谱
Figure 6. Simulation results of tips of different cantilever length: (a) Time domain signal; (b) frequency domain signal; (c) schematic diagram of simulation; (d) time domain signal of long cantilever tip; (e) frequency domain signal of long cantilever tip.
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[1] Alonso-Gonzalez P, Nikitin A Y, Gao Y, Woessner A, Lundeberg M B, Principi A, Forcellini N, Yan W, Velez S, Huber A J, Watanabe K, Taniguchi T, Casanova F, Hueso L E, Polini M, Hone J, Koppens F H L, Hillenbrand R 2017 Nat. Nanotechnol. 12 31Google Scholar
[2] Soltani A, Kuschewski F, Bonmann M, Generalov A, Vorobiev A, Ludwig F, Wiecha M M, Cibiraite D, Walla F, Winnerl S, Kehr S C, Eng L M, Stake J, Roskos H G 2020 Light Sci. Appl. 9 97Google Scholar
[3] Stinson H T, Sternbach A, Najera O, Jing R, Mcleod A S, Slusar T V, Mueller A, Anderegg L, Kim H T, Rozenberg M, Basov D N 2018 Nat. Commun. 9 1Google Scholar
[4] Yang Z, Tang D, Hu J, Tang M, Zhang M, Cui H L, Wang L, Chang C, Fan C, Li J, Wang H 2020 Small 17 2005814Google Scholar
[5] Shigekawa H, Yoshida S, Takeuchi O 2014 Nat. Photonics 8 815Google Scholar
[6] McLeod A S, Kelly P, Goldflam M D, Gainsforth Z, Westphal A J, Dominguez G, Thiemens M H, Fogler M M, Basov D N 2014 Phys. Rev. B 90 085136Google Scholar
[7] Babicheva V E, Gamage S, Stockman M I, Abate Y 2017 Opt. Express 25 23935Google Scholar
[8] Chen X, Liu X, Guo X, Chen S, Hu H, Nikulina E, Ye X, Yao Z, Bechtel H A, Martin M C, Carr G L, Dai Q, Zhuang S, Hu Q, Zhu Y, Hillenbrand R, Liu M, You G 2020 ACS Photonics 7 687Google Scholar
[9] Mooshammer F, Plankl M, Siday T, Zizlsperger M, Sandner F, Vitalone R, Jing R, Huber M A, Basov D N, Huber R 2021 Opt. Lett. 46 3572Google Scholar
[10] Zhang Z, Hu M, Zhang X, Wang Y, Zhang T, Xu X, Zhao T, Wu Z, Zhong R, Liu D, Wei Y, Gong Y, Liu S 2021 Appl. Phys. Express 14 102004Google Scholar
[11] Zayats A V, Smolyaninov, I I 2003 J. Opt. A-Pure and Appl. Op. 5 S16Google Scholar
[12] Fei Z, Andreev G O, Bao W, Zhang L M, McLeod A S, Wang C, Stewart M K, Zhao Z, Dominguez G, Thiemens M, Fogler M M, Tauber M J, Castro-Neto A H, Lau C N, Keilmann F, Basov D N 2011 Nano Lett. 11 4701Google Scholar
[13] Fei Z, Rodin A S, Andreev G O, Bao W, McLeod A S, Wagner M, Zhang L M, Zhao Z, Thiemens M, Dominguez G, Fogler M M, Castro Neto A H, Lau C N, Keilmann F, Basov D N 2012 Nature 487 82Google Scholar
[14] Fei Z, Goldflam M D, Wu J S, Dai S, Wagner M, McLeod A S, Liu M K, Post K W, Zhu S, Janssen G C A M, Fogler M M, Basov D N 2015 Nano Lett. 15 8271Google Scholar
[15] Luo W, Cai W, Xiang Y, Wu W, Shi B, Jiang X, Zhang N, Ren M, Zhang X, Xu J 2017 Adv. Mater. 29 1701083Google Scholar
[16] Duan J, Capote-Robayna N, Taboada-Gutierrez J, Alvarez-Perez G, Prieto I, Martin-Sanchez J, Nikitin A Y, Alonso-Gonzalez P 2020 Nano Lett. 20 5323Google Scholar
[17] Zhang Y, Hu C, Lyu B, Li H, Ying Z, Wang L, Deng A, Luo X, Gao Q, Chen J, Du J, Shen P, Watanabe K, Taniguchi T, Kang J H, Wang F, Zhang Y, Shi Z 2020 Nano Lett. 20 2770Google Scholar
[18] Venuthurumilli P K, Wen X L, Iyer V, Chen Y P, Xu X F 2019 ACS Photonics 6 2492Google Scholar
[19] Gerber J A, Berweger S, O'Callahan B T, Raschke M B 2014 Phys. Rev. Lett. 113 055502Google Scholar
[20] Carney P S, Deutsch B, Govyadinov A A, Hillenbrand R 2012 ACS Nano 6 8Google Scholar
[21] 段嘉华, 陈佳宁 2019 物理学报 68 110701Google Scholar
Duan J H, Chen J N 2019 Acta Phys. Sin. 68 110701Google Scholar
[22] Zhang J, Chen X, Mills S, Ciavatti T, Yao Z, Mescall R, Hu H, Semenenko V, Fei Z, Li H, Perebeinos V, Tao H, Dai Q, Du X, Liu M 2018 ACS Photonics 5 2645Google Scholar
[23] Ahn J S, Kihm H W, Kihm J E, Kim D S, Lee K G 2009 Opt. Express 17 2280Google Scholar
[24] Neuman T, Alonso-González P, Garcia-Etxarri A, Schnell M, Hillenbrand R, Aizpurua J 2015 Laser Photonics Rev. 9 637Google Scholar
[25] Cvitkovic A, Ocelic N, Hillenbrand R 2007 Opt. Express 15 8550Google Scholar
[26] Maissen C, Chen S, Nikulina E, Govyadinov A, Hillenbrand R 2019 ACS Photonics 6 1279Google Scholar
[27] Siday T, Hale L L, Hermans R I, Mitrofanov O 2020 ACS Photonics 7 596Google Scholar
[28] Mastel S, Lundeberg M B, Alonso-Gonzale P, Gao Y, Watanabe K, Taniguchi T, Hone J, Koppen F H L, Nikitin A Y, Hillenbrand R 2017 Nano Lett. 17 6526Google Scholar
[29] Siday T, Natrella M, Wu J, Liu H, Mitrofanov O 2017 Opt. Express 25 27874Google Scholar
[30] Moon K, Park H, Kim J, Do Y, Lee S, Lee G, Kang H, Han H 2015 Nano Lett. 15 549Google Scholar
[31] Moon K, Do Y, Park H, Kim J, Kang H, Lee G, Lim J H, Kim J W, Han H 2019 Sci. Rep. 9 169158Google Scholar
[32] Wang Y Y, Hu M, Zhang Z C, Zhang T Y, Gong S, Wang W, Liu S G 2019 44th International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz) Maison de la Chimie, France, September 1−6, 2019 pp1,2
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