Skip to main content

Drude-Lorentz Model of Semiconductor Optical Plasmons

  • Chapter
  • First Online:
IAENG Transactions on Engineering Technologies

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 247))

Abstract

Theoretical solutions are obtained for the propagation of electromagnetic waves at optical frequencies along a semiconductor/dielectric interface when losses are taken into account in the form of a complex dielectric function. A combination method for the dielectric function, comprised of the best features of the Drude and Lorentz models, is herein proposed. By including the loss term in both models, we were able to obtain numerical solutions for the Plasma dispersion curve of the semiconductor/dielectric interface. The surface plasmon waves, when excited, become short wavelength waves in the Optical frequency or THz region. A silicon/air structure was used as our semiconductor/dielectric material combination, and comparisons were made to optical plasmons generated without losses. Our initial numerical calculation results show enormous potential for use in several applications.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Ritchie RH (1957) Plasma losses by fast electrons in thin films. Phys Rev 106:874

    Article  MathSciNet  Google Scholar 

  2. Raether H (1988) Surface plasmons on smooth and rough surfaces and on gratings. Springer-Verlag, Berlin, pp 15–22

    Google Scholar 

  3. Maier S (2007) Plasmonics fundamentals and applications, 1st edn. Springer Science and business Media LLC, Berlin, pp 21–39

    Google Scholar 

  4. Novotny L, Hecht B (2008) Principles of nano-optics, 2nd edn. Cambridge University Press, Cambridge, MA, pp 378–414

    Google Scholar 

  5. Zayatsa AV, Smolyaninovb II, Maradudinc AA (2005) Nano-optics of surface plasmon polaritons. Phys Rep 408:131–314

    Article  Google Scholar 

  6. Yao B, Fang ZB, Zhu YY, Ji T, He G (2012) A model for the frequency dispersion of the high-k metal-oxide semiconductor capacitance in accumulation. Appl Phys Lett 100: 222903/1–3

    Google Scholar 

  7. Cada M, Pištora J (2011) Optical plasmons in semiconductors. In: ISMOT conference, June 20–23

    Google Scholar 

  8. Eldlio M, Che F, Cada M (2012) Lecture notes in engineering and computer science. In: Proceedings of the world congress on engineering and computer science, WCECS 2012, 24–6 Oct, 2012, San Francisco, USA, pp 1078–1081

    Google Scholar 

  9. Fox M (2010) Optical properties of solids, 2nd edn. Oxford University Press, Oxford, pp 33–44

    Google Scholar 

  10. Chuang S (2009) Physics of photonic devices, 2nd edn. Wiley, New York, pp 193–196

    Google Scholar 

  11. Kuttge M, Kurz H, Rivas JG, Sánchez-Gil JA, Bolívar PH (2007) Analysis of the propagation of terahertz surface plasmon polaritons on semiconductor groove gratings. J Appl Phys 101(2):023707-1–023707-6

    Article  Google Scholar 

  12. West PR, Ishii S, Naik GV, Emani NK, Shalaev VM, Boltasseva A (2010) Searching for better plasmonic materials. Laser Photonics Rev 4(6):795–808

    Article  Google Scholar 

  13. Lee KH, Ahmed I, Goh RSM, Khoo EH, Li EP, Hung TGG (2011) Implementation of the FDTD method based on the Lorentz-Drude model on GPU for plasmonics applications. Prog Electromagnet Res 116:441–456

    Google Scholar 

  14. Rivas JG, Snchez-Gil JA, Kuttge M, Bolivar PH, Kurz H (2006) Optically switchable mirrors for surface plasmon polaritons propagating on semiconductor surfaces. Phys Rev B 74:245–324

    Google Scholar 

  15. Huang Y, Ho ST (2006) Computational model of solid state, molecular, or atomic media for FDTD simulation based on a multilevel multi-electron system governed by Pauli exclusion and Fermi-Dirac thermalization with application to semiconductor photonics. Opt Express 14:3569–3587

    Article  Google Scholar 

  16. Hryciw A, Jun YC, Brongersma ML (2010) Plasmonic: electrifying plasmonics on silicon. Nat Mater 9:3–4

    Article  Google Scholar 

  17. Janke C, Rivas JG, Bolivar PH, Kurz H (2005) All optical switching of electromagnetic radiation through subwavelength apertures. Opt Lett 30(18):2357–2359

    Article  Google Scholar 

  18. Ahmed I, Khoo E, Kurniawan O, Li E (2011) Modeling and simulation of active plasmonics with the FDTD method by using solid state and Lorentz–Drude dispersive model. J Opt Soc Am B 28(3):325–359

    Article  Google Scholar 

  19. van Exter M, Grischkowsky D (1990) Optical and electronics properties of doped silicon from 0.1 to 2 THz. Appl Phys let 56(17):1694–1696

    Google Scholar 

  20. Laghla Y, Scheid E (1997) Optical study of undoped, B or P-doped polysilicon. Thin Solid Film 306:67–73

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by NSERC (Natural Sciences and Engineering Research Council) and NSERC’S ASPIRE (Applied Science in Photonics and Innovative Research in Engineering), both of Canada. We gratefully acknowledge helpful discussions with members of professor Cada’s photonics research, and with Professor J. Pištora of technical University of Ostrava, Czech Republic.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohamed Eldlio .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Eldlio, M., Che, F., Cada, M. (2014). Drude-Lorentz Model of Semiconductor Optical Plasmons. In: Kim, H., Ao, SI., Amouzegar, M., Rieger, B. (eds) IAENG Transactions on Engineering Technologies. Lecture Notes in Electrical Engineering, vol 247. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6818-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-6818-5_4

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6817-8

  • Online ISBN: 978-94-007-6818-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics