OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 4 — Feb. 24, 2003
  • pp: 299–308

Amplified total internal reflection

J. Fan, A. Dogariu, and L. J. Wang  »View Author Affiliations


Optics Express, Vol. 11, Issue 4, pp. 299-308 (2003)
http://dx.doi.org/10.1364/OE.11.000299


View Full Text Article

Enhanced HTML    Acrobat PDF (656 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Totally internal reflected beams can be amplified if the lower-index medium has gain. We analyze the reflection and refraction of light, and analytically derive the expression for the Goos-Hänchen shifts of a Gaussian beam incident on a lower-index medium, both active and absorptive. We examine the energy flow and the Goos-Hänchen shifts for various cases. The analytical results are consistent with the numerical results. For the TE mode, the Goos-Hänchen shift for the transmitted beam is exactly half of that of the reflected beam, resulting in a “1/2” rule.

© 2002 Optical Society of America

OCIS Codes
(240.6690) Optics at surfaces : Surface waves
(260.6970) Physical optics : Total internal reflection

ToC Category:
Research Papers

History
Original Manuscript: December 12, 2002
Revised Manuscript: February 11, 2003
Published: February 24, 2003

Citation
J. Fan, A. Dogariu, and L. J. Wang, "Amplified total internal reflection," Opt. Express 11, 299-308 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-4-299


Sort:  Journal  |  Reset  

References

  1. F. Goos and H. Hänchen, �??Ein neuer und fundamentaler versuch zur totalreflexion,�?? Ann. Phys. 1, 23 (1947).
  2. Von Kurt Artmann, �??Berechnung der Seitenversetzung des totalreflektierten strahles,�?? Ann. Phys. 1, 87 (1948). [CrossRef]
  3. Helmut K. V. Lotsch, �??Beam displacement at total reflection: the Goos Hänchen shift,�?? OPTIK 32, 116 (1970).
  4. M. McGuirk and C. K. Carniglia, �??An angular spectrum representation approach to the Goos Hänchen shift,�?? J. Opt. Soc. Am. 67, 103 (1976). [CrossRef]
  5. F. Bretenaker, A. L. Floch, and L. Dutriaux, �??Direct measurement of the optical Goos-Hänchen effect in lasers,�?? Phys. Rev. Lett. 17, 931 (1992). [CrossRef]
  6. S. Kozaki and H. Sakurai, �??Characteristics of a Gaussian beam at a dielectric interface,�?? J. Opt. Soc. Am. 68, 508 (1978). [CrossRef]
  7. C. J. Koester, �??9A4-Laser action by enhanced total internal reflection,�?? IEEE J. Quantum Electron. QE-2, 580 (1966). [CrossRef]
  8. E. P. Ippen and C. V. Shank, �??Evanescent-field-pumped dye laser,�?? Appl. Phys. Lett. 21, 301 (1972). [CrossRef]
  9. K. O. Hill, A. Watanabe, and J. G. Chambers, �??Evanescent-wave interactions in an optical wave-guiding structures,�?? Appl. Opt. 11, 1952 (1972). [CrossRef] [PubMed]
  10. W. Y. Liu and O. M. Stafsudd, �??Optical amplification of a multimode evanescently active planar optical waveguide,�?? Appl. Opt. 29, 3114 (1990). [CrossRef] [PubMed]
  11. E. Pfleghaar, A. Marseille, and A. Weis, �??Quantative investigation of the effect of resonant absorpers on the Goos-Hänchen shift,�?? Phys. Rev. Lett. 12, 2281 (1993). [CrossRef]
  12. B. Ya. Kogan, V. M. Volkov, and S. A. Lebedev, �??Superluminescence and generation of stimulated radiation under internal-reflection conditions,�?? JETP Lett. 16, 100 (1972).
  13. G. N. Romanov and S. S. Shakhidzhanov, �??Amplification of electromagnetic field in total internal reflection from a regeion of inverted population,�?? JETP Lett. 16, 209 (1972).
  14. 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, 565 (1973).
  15. P. R. Callary and C. K. Carniglia, �??Internal reflection from an amplifying layer,�?? J. Opt. Soc. Am. 66, 775 (1976). [CrossRef]
  16. W. Lukosz and P. P. Herrmann, �??Amplification by reflection from an active medium,�?? Opt. Commun. 17, 192 (1976). [CrossRef]
  17. R. F. Cybulski, Jr. and C. K. Carniglia, �??Internal reflection from an exponential amplifying region,�?? J. Opt. Soc. Am. 67, 1620 (1977). [CrossRef]
  18. S. A. Lebedev and B. Ya. Kogan, �??Light amplification by internal reflection from an inverted medium,�?? Opt. Spectrosc. 48, 564 (1980).
  19. R. F. Cybulski and M. P. Silverman, �??Investigation of light amplification by enhanced internal reflection. I. Theoretical reflectance and transmittance of an exponentially nonuniform gain region,�?? J. Opt. Soc. Am. 73, 1732 (1983). [CrossRef]
  20. M. P. Silverman and R. F. Cybulski, �??Investigation of light amplification by enhanced internal reflection. II. Experimental determination of the single-pass reflectance of an optically pumped gain region,�?? J. Opt. Soc. Am. 73, 1739 (1983). [CrossRef]
  21. Max Born and Emil Wolf, Principles of Optics, 6th edition (Cambridge, 1997).
  22. J. W. Goodman, Introduction to fourier optics (McGraw-Hill, 1968), Chap. 3.

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