Optical and Quantum Electronics

, Volume 32, Issue 10, pp 1161–1173 | Cite as

Lossless tapers, Gaussian beams, free-space modes: Standing waves versus through-flowing waves

  • Antonio-D. Capobianco
  • Michele Midrio
  • Carlo G. Someda
  • Stefano Curtarolo

Abstract

It was noticed in the past that, to avoid physical inconsistencies, some basic features of waves flowing through Marcatili's lossless tapers must be different from those of standing waves in the same structures. In this paper, we first present numerical results (based on an extended BPM algorithm) which reconfirm this statement. Next, we explain this surprising behavior as straightforward consequences of Maxwell's equations. Finally, we show that similar situations occur for Gaussian beams in a homogeneous medium, and free-space modes expressed in terms of Bessel functions.

free-space modes Gaussian beams lossless tapers standing waves through-flowing waves 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Capobianco, A.D., M. Midrio and C.G. Someda. Photonics-98, IIT Delhi 2 509, 1998.Google Scholar
  2. Curtarolo, S. Internal Report, University of Padova, 1995 (unpublished material).Google Scholar
  3. Lee, C.T., M.L. Wu, L.G. Sheu, P.L. Fan and J.M. Hsu. IEEE J. Lightwave Technol. 15 403, 1997.Google Scholar
  4. Mansour, I. and C.G. Someda. IEEE Photon. Technol. Lett. 7 81, 1995.Google Scholar
  5. Marcatili, E.A.J. IEEE J. Quant. Electron. 21 307, 1985.Google Scholar
  6. Marcatili, E.A.J. and C.G. Someda. IEEE J. Quant. Electron. 23 164, 1987.Google Scholar
  7. Mitomi, O., K. Kasaya and H. Miyazawa. IEEE J. Quant. Electron. 30 1787, 1994.Google Scholar
  8. Sakai, J.I. and E.A.J. Marcatili, IEEE J. Lightwave Technol. 9 386, 1991.Google Scholar
  9. Vassallo, C. Opt. Quant. Electron. 26 235, 1994.Google Scholar
  10. Wu, M.L., P.L. Fan, J.M. Hsu and C.T. Lee. IEEE J. Lightwave Technol. 14 2604, 1996.Google Scholar
  11. Yariv, A. Introduction to Optical Electronics, 2nd ed. Holt, Rinehart and Winston, New York, 1976.Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Antonio-D. Capobianco
    • 1
  • Michele Midrio
    • 1
  • Carlo G. Someda
    • 1
  • Stefano Curtarolo
    • 1
  1. 1.Dipartimento di Elettronica e InformaticaUniversità degli Studi di PadovaPadovaItaly

Personalised recommendations