Skip to main content

Dynamical Behavior of the Brillouin Precursor in Rocard-Powles-Debye Model Dielectrics

  • Chapter
Ultra-Wideband, Short-Pulse Electromagnetics 7
  • 1800 Accesses

Abstract

When an ultra-wideband electromagnetic pulse penetrates into a causally dispersive dielectric, the interrelated effects of phase dispersion and attenuation alter the pulse in a fundamental way that results in the appearance of precursor fields. For a Debye-type dielectric, the dynamical field evolution is dominated by the Brillouin precursor as the propagation distance exceeds a penetration depth. Because of its nonexponential peak decay, the Brillouin precursor is of central importance in ultra-wideband electromagnetics. Of equal importance is the frequency structure of the Brillouin precursor which exhibits a complicated dependence on both the material dispersion and the input pulse characteristics. A Brillouin pulse is defined and shown to possess optimal material penetration.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Sommerfeld, Über die fortpflanzung des lichtes in disperdierenden medien, Ann. Phys. (Leipzig) 44, 177–202 (1914).

    ADS  Google Scholar 

  2. L. Brillouin, Über die fortpflanzung des licht in disperdierenden medien, Ann. Phys. (Leipzig) 44, 203–240 (1914).

    ADS  Google Scholar 

  3. L. Brillouin, Wave Propagation and Group Velocity, Academic Press, New York, 1960.

    MATH  Google Scholar 

  4. J. A. Stratton, Electromagnetic Theory, McGraw-Hill, New York, 1944.

    Google Scholar 

  5. J. D. Jackson, Classical Electrodynamics, 3rd edn., Wiley, New York, 1999.

    MATH  Google Scholar 

  6. K. E. Oughstun and G. C. Sherman, Propagation of electromagnetic pulses in a linear dispersive medium with absorption (the Lorentz medium), J. Opt. Soc. Am. B 5, 817–849 (1988).

    Article  ADS  Google Scholar 

  7. K. E. Oughstun and G. C. Sherman, Uniform asymptotic description of electromagnetic pulse propagation in a linear dispersive medium with absorption (the Lorentz medium), J. Opt. Soc. Am. A, 6, 1394–1420 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  8. K. E. Oughstun and G. C. Sherman, Pulse Propagation in Causal Dielectrics, Springer-Verlag, Berlin, 1994.

    Google Scholar 

  9. H. Xiao and K. E. Oughstun, Failure of the group velocity description for ultra-wideband pulse propagation in a double resonance Lorentz model dielectric, J. Opt. Soc. Am. B, 16, 1773–1785 (1999).

    Article  ADS  Google Scholar 

  10. K. E. Oughstun, Dynamical structure of the precursor fields in linear dispersive pulse propagation in lossy dielectrics, in Ultra-Wideband, Short-Pulse Electromagnetics 2, L. Carin and L. B. Felsen (eds.), Plenum, New York, 1995, pp. 257–272.

    Google Scholar 

  11. H. A. Lorentz, The Theory of Electrons, Dover Publications, New York, 1952.

    Google Scholar 

  12. P. Debye, Polar Molecules, Dover Publications, New York, 1929.

    MATH  Google Scholar 

  13. J. McConnel, Rotational Brownian Motion and Dielectric Theory, Academic Press, London, 1980.

    Google Scholar 

  14. F. W. J. Olver, Why steepest descents? SIAM Review, 12, 228–247 (1970).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Oughstun, K.E. (2007). Dynamical Behavior of the Brillouin Precursor in Rocard-Powles-Debye Model Dielectrics. In: Sabath, F., Mokole, E.L., Schenk, U., Nitsch, D. (eds) Ultra-Wideband, Short-Pulse Electromagnetics 7. Springer, New York, NY. https://doi.org/10.1007/978-0-387-37731-5_8

Download citation

Publish with us

Policies and ethics