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. 20, Iss. 4 — Apr. 1, 2003
  • pp: 741–752

Nonspecular transverse effects of polarized and unpolarized symmetric beams in isotropic–uniaxial interfaces

Liliana I. Perez  »View Author Affiliations


JOSA A, Vol. 20, Issue 4, pp. 741-752 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000741


View Full Text Article

Enhanced HTML    Acrobat PDF (406 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We analyze the first-order nonspecular effects of three-dimensional beams in interfaces formed by two lineal dielectric media. We also analyze the dependence of the transverse effects on polarization and compare the results with those obtained for isotropic interfaces. In particular, we determine analytically the complex transverse lateral displacements of a beam with Gaussian distribution of intensity when it is reflected on an interface formed by an isotropic medium and a uniaxial anisotropic one and the mean direction of propagation of the beam is contained in each of the characteristic planes of the crystal.

© 2003 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization

History
Original Manuscript: September 25, 2002
Revised Manuscript: December 3, 2002
Manuscript Accepted: December 3, 2002
Published: April 1, 2003

Citation
Liliana I. Perez, "Nonspecular transverse effects of polarized and unpolarized symmetric beams in isotropic–uniaxial interfaces," J. Opt. Soc. Am. A 20, 741-752 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-4-741


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. F. I. Fedorov, “K teorii polnovo otrazenija,” Dokl. Akad. Nauk SSSR 105, 465–467 (1955).
  2. C. Imbert, “Calculation and experimental proof of the transverse shift induced by total internal reflection of a circularly polarized light beam,” Phys. Rev. D 5, 787–796 (1972). [CrossRef]
  3. W. Nasalski, “Longitudinal and transverse effects of nonspecular reflection,” J. Opt. Soc. Am. A 13, 172–181 (1996). [CrossRef]
  4. T. Tamir, “Nonspecular phenomena in beam fields reflected by multilayered media,” J. Opt. Soc. Am. A 3, 558–565 (1986). [CrossRef]
  5. F. I. Baida, D. Van Labeke, J.-M. Vigoureux, “Numerical study of the displacement of a three-dimensional Gaussian beam transmitted at total internal reflection. Near-field application,” J. Opt. Soc. Am. A 17, 858–866 (2000).
  6. J. Alda, “Transverse angular shift in the reflection of light beams,” Opt. Commun. 182, 1–10 (2000). [CrossRef]
  7. M. A. Porras, “Nonspecular reflection of general light beams at a dielectric interface,” Opt. Commun. 135, 369–377 (1997). [CrossRef]
  8. W. Nasalski, “Three-dimensional beam reflection at dielectric interfaces,” Opt. Commun. 197, 217–233 (2001). [CrossRef]
  9. O. N. Stavroudis, “Ray tracing formulas for uniaxial crystals,” J. Opt. Soc. Am. 52, 187–191 (1962). [CrossRef]
  10. W. Swindell, “Extraordinary ray and wave-tracing in uniaxial crystals,” Appl. Opt. 14, 2298–2301 (1975). [CrossRef] [PubMed]
  11. M. C. Simon, “Ray tracing formulas for monoaxial optical components,” Appl. Opt. 22, 354–360 (1983). [CrossRef] [PubMed]
  12. M. C. Simon, R. M. Echarri, “Ray tracing formulas for monoaxial optical components: vectorial formulation,” Appl. Opt. 25, 1935–1939 (1986). [CrossRef] [PubMed]
  13. J. J. Stamnes, G. C. Sherman, “Reflection and refraction of an arbitrary wave at a planar interface separating two uniaxial crystals,” J. Opt. Soc. Am. 67, 683–695 (1977). [CrossRef]
  14. J. A. Fleck, M. D. Feit, “Beam propagation in uniaxial anisotropic media,” J. Opt. Soc. Am. 73, 920–926 (1983). [CrossRef]
  15. M. Barabas, G. Szarvas, “Fourier description of the propagation and focusing of an extraordinary beam in a planar uniaxial medium,” Appl. Opt. 34, 11–21 (1995). [CrossRef] [PubMed]
  16. L. I. Perez, M. T. Garea, “Propagation of 2D and 3D Gaussian beams in an anisotropic uniaxial medium: vectorial and scalar treatment,” Optik 111, 297–306 (2000).
  17. A. Ciattoni, B. Crosignani, P. Di Porto, “Paraxial vector theory of propagation in uniaxially anisotropic media,” J. Opt. Soc. Am. A 18, 1656–1661 (2001). [CrossRef]
  18. M. C. Simon, R. M. Echarri, “Internal reflection in uniaxial crystals II: coefficients of transmission and reflection for an ordinary incident wave,” J. Mod. Opt. 37, 131–144 (1990). [CrossRef]
  19. M. C. Simon, R. M. Echarri, “Internal reflection in uniaxial crystals III: coefficients of transmission and reflection for an extraordinary incident wave,” J. Mod. Opt. 37, 1139–1148 (1990). [CrossRef]
  20. L. I. Perez, “Reflexión y refracción en cristales birrefringentes monoaxiales” Chap. II, doctoral thesis (University of Buenos Aires, Buenos Aires, Argentina, 1990).
  21. M. C. Simon, L. I. Perez, “Reflection and transmission coefficients in uniaxial crystals,” J. Mod. Opt. 38, 503–518 (1991). [CrossRef]
  22. M. C. Simon, D. Farı́as, “Reflection and refraction in uniaxial crystals with dielectric and magnetic anisotropy,” J. Mod. Opt. 41, 413–429 (1994). [CrossRef]
  23. J. Lekner, “Brewster angles in reflection by uniaxial crystals,” J. Opt. Soc. Am. A 10, 2059–2064 (1993). [CrossRef]
  24. J. Lekner, “Normal incidence transmission ellipsometry of anisotropic layers,” J. Opt. A Pure Appl. Opt. 3, 307–321 (1994). [CrossRef]
  25. J. Lekner, “Reflection ellipsometry of uniaxial crystals,” J. Opt. Soc. Am. A 14, 1359–1362 (1997). [CrossRef]
  26. G. D. Landry, T. A. Maldonado, “Gaussian beam transmission and reflection from a general anisotropic multiplayer structure,” Appl. Opt. 35, 5870–5879 (1996). [CrossRef] [PubMed]
  27. D. Dhayalan, J. J. Stamnes, “Focusing of electromag-netic waves into a dielectric slab: I. Exact and asymptotic results,” J. Opt. A Pure Appl. Opt. 7, 33–52 (1998). [CrossRef]
  28. L. I. Perez, “Reflection and nonspecular effects of 2D Gaussian beams in interfaces between isotropic and uniaxial anisotropic media,” J. Mod. Opt. 47, 1645–1658 (2000). [CrossRef]
  29. J. J. Stamnes, V. Dhayalan, “Transmission of a two-dimensional Gaussian beam into a uniaxial crystal,” J. Opt. Soc. Am. A 18, 1662–1669 (2001). [CrossRef]
  30. L. I. Perez, “Modifications of geometric parameters of Gaussian beams reflected and transmitted on isotropic–uniaxial interfaces,” J. Opt. A Pure Appl. Opt. 4, 640–649 (2002). [CrossRef]
  31. A. Ciattoni, G. Cincotti, C. Palma, “Nonparaxial description of reflection and transmission at the interface between an isotropic medium and a uniaxial crystal,” J. Opt. Soc. Am. A 19, 1422–1431 (2002). [CrossRef]
  32. C. E. Vanney, “Displacement of the refracted wave in presence of inhibited reflection,” J. Mod. Opt. 47, 685–700 (2000). [CrossRef]
  33. L. I. Perez, “Nonabsorbent uniaxial crystals: Poynting vectors for the evanescent waves,” Optik 97, 142–148 (1994).
  34. L. I. Perez, “Transverse angular shift of linearly polarised beams reflected on isotropic interfaces,” in Optics for the Quality of Life, Proceedings of the 19th Congress of the International Commission for Optics (International Commission for Optics, 2002 www.ico-optics.org ), pp. 781–782.
  35. L. I. Perez, “Coeficientes de reflexión en medios uniaxiales en la reflexión total,” in Proc. Asoc. Fı́s. Argentina, Anales AFA5, 224–228 (1993).
  36. J. M. Simon, L. I. Perez, V. A. Presa, “Surface electromagnetic waves in the interface of an absorbing medium with an uniaxial crystal: comparison between closed solutions and attenuated total reflection,” J. Opt. Soc. Am. A 13, 1249–1257 (1996). [CrossRef]
  37. M. C. Simon, L. I. Perez, “Total reflection in uniaxial crystals,” Optik 82, 37–42 (1989).

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