Modal Analysis for a Waveguide of Nanorods Using the Field Computation for a Chain of Finite Length

Authors

  • Y. Rahbarihagh Photonics Research Lab, Center of Excellence on Applied Electromagnetic Systems, School of ECE, College of Engineering, University of Tehran, North Kargar Ave, Tehran, Iran
  • F. Kalhor Photonics Research Lab, Center of Excellence on Applied Electromagnetic Systems, School of ECE, College of Engineering, University of Tehran, North Kargar Ave, Tehran, Iran
  • J. Rashed-Mohassel Photonics Research Lab, Center of Excellence on Applied Electromagnetic Systems, School of ECE, College of Engineering, University of Tehran, North Kargar Ave, Tehran, Iran
  • M. Shahabadi Photonics Research Lab, Center of Excellence on Applied Electromagnetic Systems, School of ECE, College of Engineering, University of Tehran, North Kargar Ave, Tehran, Iran

Keywords:

Generalized multipole technique, Modal analysis, surface plasmon polariton, waveguide

Abstract

The propagation of light along an infinite 2D chain of silver nanorods is analyzed and the dispersion for this waveguide is computed using field computation for a finite chain of nanorods. In this work, generalized multipole technique is used for the analysis. This method calculates the imaginary and real parts of the propagation constant by exciting the chain in one end and observing propagation of modes along the chain far enough from the excitation. It is shown that a short chain of finite length is sufficient for the calculation of the phase constant while the attenuation constant requires a longer chain. Field distribution is depicted for even and odd modes and it is shown that in the simulated frequency range only two modes can be excited and can propagate along the waveguide.

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References

J. Takahara, S. Yamagishi, H. Taki, A. Morimoto, and T. Kobayashi, “Guiding of a one-dimensional optical beam with nanometer diameter,” Opt. Lett., vol. 22, pp. 475-477, 1997.

M. Quinten, A. Leitner, J. Krenn, and F. Aussenegg, “Electromagnetic energy transport via linear chains of silver nanoparticles,” Opt. Lett., vol. 23, pp. 1331-1333, 1998.

M. Brongersma, J. Hartman, and H. Atwater, “Electromagnetic energy transfer and switching in nanoparticle chain arrays below the diffraction limit,” Physical Review B vol. 62, pp. R16356- R16359, 2000.

S. Maier, P. Kik, and H. Atwater, “Optical pulse propagation in metal nanoparticle chain waveguides,” Physical Review B vol. 67, 2003.

R. Shore and A. Yaghjian, “Travelling electromagnetic waves on linear periodic arrays of lossless spheres,” Electronics Letters, vol. 41, pp. 578-580, 2005.

A. Alù and N. Engheta, “Theory of linear chains of metamaterial/plasmonic particles as sub diffraction optical nano transmission lines,” Departmental Papers, (ESE), 2006.

M. Sukharev and T. Seideman, “Coherent control of light propagation via nanoparticle arrays,” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 40, pp. S283-S298, 2007.

N. Talebi and M. Shahabadi, “Analysis of the propagation of light along an array of nanorods using the generalized multipole techniques,” Journal of Computational and Theoretical Nanoscience, vol. 5, pp. 711-716, 2008.

A. Hochman and Y. Leviatan, “Rigorous modal analysis of metallic nanowire chains,” Optics Express, vol. 17, p. 13561, 2009.

Y. Hadad and B. Steinberg, “Green’s function theory for infinite and semi-infinite particle chains,” Phys. Rev. B, vol. 84, p. 125402, 2011.

S. Bajestani, M. Shahabadi, and N. Talebi, “Analysis of plasmon propagation along a chain of metal nanospheres using the generalized multipole technique,” J. Opt. Soc. Am. B, vol. 28, pp. 937- 943, 2011.

D. Szafranek and Y. Leviatan, “A source-model technique for analysis of wave guiding along chains of metallic nanowires in layered media,” Optics Express, vol. 19, p. 25397, 2011.

I. Udagedara, I. Rukhlenko, and M. Premaratne, “Complex- approach versus complex-k approach in description of gain-assisted surface plasmonpolariton propagation along linear chains of metallic nanospheres,” Phys. Rev. B, vol. 83, p. 115451, 2011.

B. Rolly, N. Bonod, and B. Stout, “Dispersion relations in metal nanoparticle chains: necessity of the multipole approach,” J. Opt. Soc. Am. B, vol. 29, pp. 1012-1019, 2012.

K. Sendur, “Optical aspects of the interaction of focused beams with plasmonic nanoparticles,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 27, no. 2, pp. 181-188, Feb. 2012.

S. Park and D. Stroud, “Surface-plasmon dispersion relations in chains of metallic nanoparticles: An exact quasistatic calculation,” Phys. Rev. B, vol. 69, p. 125418, 2004.

C. Tserkezis and N. Stefanou, “Calculation of waveguide modes in linear chains of metallic nanorods,” J. Opt. Soc. Am. B, vol. 29, pp. 827- 832, 2012.

W. Weber and G. Ford, “Propagation of optical excitations by dipolar interactions in metal nanoparticle chains,” Phys. Rev. B, vol. 70, p. 125429, 2004.

D. Han, Y. Lai, K. Fung, Z.-Q. Zhang, and C. Chan, “Negative group velocity from quadrupole resonance of plasmonic spheres,” Phys. Rev. B, vol. 79, p. 195444, 2009.

E. Simsek, “On the surface plasmon resonance modes of metal nanoparticle chains and arrays,” Plasmonics vol. 4, pp. 223-230, 2009.

D. Van Orden, Y. Fainman, and V. Lomakin, “Optical waves on nanoparticle chains coupled with surfaces,” Opt. Lett. vol. 34, pp. 422-424, 2009.

E. Simsek, “Full analytical model for obtaining surface plasmon resonance modes of metal nanoparticle structures embedded in layered media,” Opt. Express, vol. 18, pp. 1722-1733, 2010.

I. Tsukerman, “A new computational method for plasmon resonances of nanoparticles and for wave propagation,” IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, pp. 909- 912, Honolulu, Hi, April 2005.

J. Smajic, C. Hafner, L. Raguin, K. Tavzarashvili, and M. Mishrikey, “Comparison of numerical methods for the analysis of plasmonic structures,” Journal of Computational and Theoretical Nanoscience, vol. 6, pp. 763-774, 2009.

C. Hafner, The Generalized Multipole Technique for Computational Electromagnetics, Artech House Publishers, 1990.

P. Johnson and R. Christy, “Optical constants of the noble metals,” Phys. Rev. B, vol. 6, pp. 4370- 4379, 1972.

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Published

2021-09-03

How to Cite

[1]
Y. . Rahbarihagh, F. . Kalhor, J. . Rashed-Mohassel, and M. . Shahabadi, “Modal Analysis for a Waveguide of Nanorods Using the Field Computation for a Chain of Finite Length”, ACES Journal, vol. 29, no. 02, pp. 140–148, Sep. 2021.

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