Skip to main content
SpringerLink
Log in

The Finite Difference Time Domain Method for the Study of Two-Dimensional Acoustic and Elastic Band Gap Materials

  • Chapter
Photonic Crystals and Light Localization in the 21st Century

Part of the book series: NATO Science Series ((ASIC,volume 563))

Abstract

The finite difference time domain (FDTD) method has been proved recently an excellent tool for the study of classical wave propagation in periodic and random composite systems. Here we present in detail the method as it is applied in the case of acoustic and elastic wave propagation in two-dimensional composites. Also, we present some representative results of the method and we discuss its advantages.

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

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Soukoulis, C.M., ed. (1996) Photonic Band Gap Materials, Kluwer Academic Publishers.

    Google Scholar 

  2. Sigalas, M. M. & Economou, E. N. (1992) J. Sound Vibration 158, 377; (1993) Solid State Commun. 86, 141; (1994) J. Applied Phys. 75, 2845; (1996) Europhysics Lett. 36, 241.

    Article  ADS  Google Scholar 

  3. Kushwaha, M. S., Halevi, P., Dobrzynski, L. & Djafari-Rouhani, B. (1993) Phys. Rev. Lett. 71, 2022.

    Article  ADS  Google Scholar 

  4. Bconomou, E. N. & Sigalas, M. M., in Photonic Band Gaps and Localization ed. by Soukoulis, C. M. (1993) Plenum Press, New York, pp. 317–338.

    Google Scholar 

  5. Economou, E. N. & Sigalas, M.M. (1993) Phys. Rev. B 48, 13434; (1994) J. Acoust. Soc. Am. 95, 1734.

    Article  ADS  Google Scholar 

  6. Sigalas, M. M., Economou, E. N. & Kafesaki, M. (1994) Phys. Rev. B 50, 3393.

    Article  ADS  Google Scholar 

  7. Kafesaki, M., Sigalas, M. M. & Economou, E. N. (1995) Solid State Commun. 96, 285.

    Article  ADS  Google Scholar 

  8. Kushwaha, M. S. & Halevi, P. (1994) Appl. Phys. Lett. 64, 1085; Kushwaha, M. S., Halevi, P, Martinez, G., Dobrzynski, L. & Djafari-Rouhani, B. (1994) Phys. Rev. B 49, 2313.

    Article  ADS  Google Scholar 

  9. Vasseur, J. O., Djafari-Rohani, B., Dobrzynski, L., Kushwaha, M.S. & Halevi, P. (1994) J. Phys.:Condens. Matter 6, 8759.

    Article  ADS  Google Scholar 

  10. Kushwaha, M. S. (1997) Appl. Phys. Lett. 70, 3218.

    Article  ADS  Google Scholar 

  11. Vasseur, J. O., Deymier, P. A., Frantziskonis, G., Hong, G., Djafari-Rohani, B., Dobrzynski, L. (1998) J. Phys.: Condens. Matter 10, 6051.

    Article  ADS  Google Scholar 

  12. Garcia-Pablos, D., Sigalas, M. M., Montero de Espinosa, F. R., Torres, M., Kafesaki, M. & Garcia, N. (2000) Phys. Rev. Lett. 84, 4349.

    Article  ADS  Google Scholar 

  13. Torres, M., Montero de Espinosa, F. R., Garcia-Pablos, D. & Garcia, N. (1998) Phys. Rev. Lett. 82, 3054.

    Article  ADS  Google Scholar 

  14. Montero de Espinosa, F. R., Jimenez, E. & Torres, M. (1998) Phys. Rev. Lett. 80, 1208.

    Article  ADS  Google Scholar 

  15. Martinez-Sala, R., Sancho, J., Sanchez, J. V., Gomez, V., Llinares, J. & Meseguer, F. (1995) Nature 378, 241.

    Article  ADS  Google Scholar 

  16. Kafesaki, M., Penciu, R. & Economou, E. N. (2000) Phys. Rev. Lett. 84, 6050.

    Article  ADS  Google Scholar 

  17. Kafesaki, M. & Economou, E. N. (1999) Phys. Rev. B 60, 11993.

    Article  ADS  Google Scholar 

  18. Smith, G.D., Numerical Solution of Partial Differential Equations: Finite Difference Methods, Claredon Press, Oxford.

    Google Scholar 

  19. Clayton, R. & Engquist, B. (1977) Bull. Seism. Soc. Am. 67, 1529.

    Google Scholar 

  20. Zhou, J. & Saffari, N. (1996) Proceedings of the Royal Society London, Part A, 452, 1609; (1997) Bulletin of the Seismological Soc. of America 87, 1324.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Taflove, Allen (1995) Computational Electrodynamics, Artech House; Kunz, K. S. & Luebbers, R. J. (1993) The finite difference time domain method for electromagnetics, CRC Press; Jones, D. S. (1994) Methods in electromagnetic wave propagation, Oxford University Press.

    Google Scholar 

  22. Chan, C. T., Datta, S., Yu, Q. L., Sigalas, M. M., Ho, K. M. & Soukoulis, C. M. (1994) Physica A211, 411; Chan, C. T., Yu, Q. L. & Ho, K. M. (1995) Phys. Rev. B 51, 16635.

    ADS  Google Scholar 

  23. Fan, S., Villeneuve, P.R. & Joannopoulos, J. D. (1996) Phys. Rev. B 54, 11245. 24. Mekis, A., Chen, J. C., Kurland, I., Fan, S., Villeneuve, P. R. & Joannopoulos, J. D. (1996) Phys. Rev. Lett. 77, 3787.

    Article  ADS  Google Scholar 

  24. Sigalas, M. M., Biswas, R., Ho, K. M., Soukoulis, C.M. & Crouch, D. D. (1999) Phys. Rev. B 60, 4426.

    Article  ADS  Google Scholar 

  25. Kafesaki, M., Sigalas, M. M. & Garcia, N. (2000) to appear in Phys. Rev. Lett.

    Google Scholar 

  26. Landau, L. D. & Lifshitz, E. M. (1959) Theory of Elasticity, Pergamon.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratorio de Física de Sistemas Pequeños y Nanotecnología, Consejo Superior de Investigaciones Científicas, Serrano 144, 28006, Madrid, Spain

    M. Kafesaki, M. M. Sigalas & N. Garcia

  2. Agilent Laboratories, 3500 Deer Creek Rd., Palo Alto, 94304, CA, Spain

    M. M. Sigalas

Authors
  1. M. Kafesaki
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. M. Sigalas
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Garcia
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa, USA

    Costas M. Soukoulis

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Kafesaki, M., Sigalas, M.M., Garcia, N. (2001). The Finite Difference Time Domain Method for the Study of Two-Dimensional Acoustic and Elastic Band Gap Materials. In: Soukoulis, C.M. (eds) Photonic Crystals and Light Localization in the 21st Century. NATO Science Series, vol 563. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0738-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0738-2_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6948-6

  • Online ISBN: 978-94-010-0738-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation