OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 4, Iss. 4 — Apr. 1, 1987
  • pp: 655–663

Beam phenomena at and near critical incidence upon a dielectric interface

C. Chiu Chan and T. Tamir  »View Author Affiliations


JOSA A, Vol. 4, Issue 4, pp. 655-663 (1987)
http://dx.doi.org/10.1364/JOSAA.4.000655


View Full Text Article

Enhanced HTML    Acrobat PDF (1057 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Nonspecular phenomena involving Gaussian beams reflected at a dielectric interface include the well-known lateral displacement, the more recently investigated focal and angular shifts, and a fourth newly recognized effect termed beam-waist modification. In the past, expressions for the magnitudes of these effects have been obtained for incidence angles θi that are not too close to the critical angle of total reflection θc, but results for θi near θc have been reported only for lateral displacement. We have therefore examined all the four effects and derived explicit expressions that hold for arbitrary values of θi in the vicinity of θc. These expressions are consistent with the results obtained by others for θiθc as well as with those for the lateral displacement around θi= θc. We find that the nonspecular effects are finite at θc, and we include a set of universal curves to clarify the behavior and interrelations of these phenomena.

© 1987 Optical Society of America

History
Original Manuscript: June 23, 1986
Manuscript Accepted: December 8, 1986
Published: April 1, 1987

Citation
C. Chiu Chan and T. Tamir, "Beam phenomena at and near critical incidence upon a dielectric interface," J. Opt. Soc. Am. A 4, 655-663 (1987)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-4-4-655


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. K. V. Lotsch, “Beam displacement at total reflection: the Goos–Hänchen effect,” Optik 32, 116–137, 189–204 (1970); Optik 32, 299–319, 553–569 (1971).
  2. B. R. Horowitz, T. Tamir, “Lateral displacement of a light beam at a dielectric interface,”J. Opt. Soc. Am. 61, 586–594 (1971). [CrossRef]
  3. J. W. Ra, H. L. Bertoni, L. B. Felsen, “Reflection and transmission of beams at a dielectric interface,” SIAM J. Appl. Math. 24, 396–413 (1973). [CrossRef]
  4. Y. M. Antar, W. M. Boerner, “Gaussian beam interaction with a planar dielectric interface,” Can. J. Phys. 52, 962–972 (1974).
  5. M. McGuirk, C. K. Carniglia, “An angular spectrum representation approach to the Goos-Hänchen shift,”J. Opt. Soc. Am. 67, 103–107 (1977). [CrossRef]
  6. C. K. Carniglia, K. R. Brownstein, “Focal shift and ray model for total internal reflection,”J. Opt. Soc. Am. 67, 121–123 (1977). [CrossRef]
  7. T. Tamir, “Nonspecular phenomena in beam fields reflected by multilayered media,” J. Opt. Soc. Am. A 3, 558–565 (1986). [CrossRef]
  8. H. M. Lai, F. C. Cheng, W. K. Tang, “Goos–Hänchen effect around and off the critical angle,” J. Opt. Soc. Am. A 3, 550–557 (1986). [CrossRef]
  9. Note that ui here plays the same role as (−δ)1/2in Ref. 2.
  10. I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1980), p. 337, Eq. (3.462).
  11. W. Magnus, F. Oberhettinger, R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer, New York, 1966), Chap. 8, p. 331.
  12. See Ref. 11, p. 324.
  13. C. C. Chan, T. Tamir, “Angular shift of a Gaussian beam reflected near the Brewster angle,” Opt. Lett. 10, 378–380 (1985). [CrossRef] [PubMed]
  14. I. A. White, A. W. Snyder, C. Pask, “Directional change of beams undergoing partial reflection,”J. Opt. Soc. Am. 67, 703–705 (1977). [CrossRef]
  15. W. Nasalski, T. Tamir, “Composite beam-shifting effects under critical reflection conditions,” J. Opt. Soc. Am. A 3(13), P124 (1986).
  16. J. J. Cowan, B. Aničin, “Longitudinal and transverse displacements of a bounded microwave beam at total internal reflection,”J. Opt. Soc. Am. 67, 1307–1314 (1977). [CrossRef]
  17. H. L. Bertoni, C. W. Hsue, T. Tamir, “Non-specular reflection of convergent beams from liquid-solid interface,” Trait. Signal, 2, 201–205 (1985).
  18. P. B. Nagy, K. Cho, L. Adler, D. E. Chimenti, “Focal shift of convergent ultrasonic beams reflected from a liquid–solid interface,” J. Acoust. Soc. Am. (to be published).

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited