OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 3 — Feb. 4, 2008
  • pp: 1903–1914

Amplified total internal reflection: theory, analysis, and demonstration of existence via FDTD

Keely J. Willis, John B. Schneider, and Susan C. Hagness  »View Author Affiliations


Optics Express, Vol. 16, Issue 3, pp. 1903-1914 (2008)
http://dx.doi.org/10.1364/OE.16.001903


View Full Text Article

Enhanced HTML    Acrobat PDF (295 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The explanation of wave behavior upon total internal reflection from a gainy medium has defied consensus for 40 years. We examine this question using both the finite-difference time-domain (FDTD) method and theoretical analyses. FDTD simulations of a localized wave impinging on a gainy half space are based directly on Maxwell’s equations and make no underlying assumptions. They reveal that amplification occurs upon total internal reflection from a gainy medium; conversely, amplification does not occur for incidence below the critical angle. Excellent agreement is obtained between the FDTD results and an analytical formulation that employs a new branch cut in the complex “propagation-constant” plane.

© 2008 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(260.6970) Physical optics : Total internal reflection

ToC Category:
Physical Optics

History
Original Manuscript: November 2, 2007
Revised Manuscript: January 10, 2008
Manuscript Accepted: January 16, 2008
Published: January 28, 2008

Citation
Keely J. Willis, John B. Schneider, and Susan C. Hagness, "Amplified total internal reflection: theory, analysis, and demonstration of existence via FDTD," Opt. Express 16, 1903-1914 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-3-1903


Sort:  Year  |  Journal  |  Reset  

References

  1. C. J. Koester, "Laser action by enhanced total internal reflection," IEEE J. Quantum Electron. 2, 580-584 (1966). [CrossRef]
  2. M. Born and E. Wolf, Principles of Optics (Pergamon Press, 1964).
  3. G. N. Romanov and S. S. Shakhidzhanov, "Amplification of electromagnetic field in total internal reflection from a region of inverted population," JETP 16, 298-301 (1972).
  4. S. A. Lebedev, V. M. Volkov, and B. Ya. Kogan, "Value of the gain for light internally reflected from a medium with inverted population," Opt. Spectrosc. 35, 976-977 (1973).
  5. P. R. Callary and C. K. Carniglia, "Internal reflection from an amplifying layer," J. Opt. Soc. Am. 66, 775-779 (1976). [CrossRef]
  6. R. F. Cybulski and C. K. Carniglia, "Internal reflection from an exponential amplifying region," J. Opt. Soc. Am. 67, 1620-1627 (1977). [CrossRef]
  7. C.-W. Lee, K. Kim, J. Noh, and W. Jhe, "Quantum theory of amplified total internal reflection due to evanescentmode coupling," Phys. Rev. A 62, 053805 (2000). [CrossRef]
  8. J. Fan, A. Dogariu, and L. J. Wang, "Amplified total internal reflection," Opt. Express 11, 299-308 (2003). [CrossRef] [PubMed]
  9. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed. (Artech House, 2000).
  10. Z. Wang, Z. Zhang, Z. Xu, and Q. Lin, "Space-time profiles of an ultrashort pulsed Gaussian beam," IEEE J. Quantum Electron. 33, 566-573 (1997). [CrossRef]
  11. A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering (Prentice Hall, 1991).
  12. D. J. Robinson and J. B. Schneider, "On the use of the geometric mean in FDTD near-to-far-field transformations" to appear in IEEE Trans. Antennas Propag. (2007). [CrossRef]
  13. J. B. Schneider, "Plane waves in FDTD simulations and a nearly perfect total-field/scattered-field boundary" IEEE Trans. Antennas Propag. 52, 3280-3287 (2004). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited