We derive a general expression for the field distribution of Hermite- and Laguerre-Gaussian (LG) beams reflected at a dielectric interface. The intensity distributions of the reflected LG light beam at the beam waist are also observed experimentally in the vicinity of the critical incidence. They are greatly deformed because of the nonspecular transverse effect induced by the orbital angular momentum of the LG beam. The observed and calculated intensity distributions agree well and indicate that a large fraction of the electromagnetic energy flows as much as the transverse beam size.

© 2006 Optical Society of America

1. B. R. Horowitz and T. Tamir, "Lateral displacement of a light beam at a dielectric interface," J. Opt. Soc. Am. 61, 586-594 (1971). [CrossRef]
2. C. C. Chan and T. Tamir, "Beam phenomena at and near critical incidence upon a dielectric interface," J. Opt. Soc. Am. A 4, 655-663 (1987). [CrossRef]
3. W. Nasalski, "Longitudinal and transverse effects of nonspecular reflection," J. Opt. Soc. Am. A 13, 172-181 (1996). [CrossRef]
4. W. Nasalski, "Three-dimensional beam reflection at dielectric interfaces," Opt. Commun. 197, 217-233 (2001). [CrossRef]
5. F. Goos and H. Hänchen, "Ein neue und fundamentaler Versuch zur total Reflection," Ann. Phys.  1, 333-345 (1947). [CrossRef]
6. F. I. Fedorov, "K teorii polnovo otrazenija," Dokl. Akad. Nauk SSSR 105, 465-467 (1955).
7. 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]
8. M. Onoda, S. Murakami, and N. Nagaosa, "Hall effect of light," Phys. Rev. Lett. 93, 083901-1-4 (2004). [CrossRef] [PubMed]
9. A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, "Intrinsic and extrinsic nature of the orbital angular momentum of a light beam," Phys. Rev. Lett. 88, 053601-1-4 (2002). [CrossRef]
10. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992). [CrossRef] [PubMed]
11. L. Allen, S. M. Barnett, and M. J. Padgett, ed. Optical angular momentum (Institute of Physics Publishing, Bristol and Philadelphia, 2003). [CrossRef]
12. V. G. Fedoseyev, "Spin-independent transverse shift of the centre of gravity of a reflected and of a refracted light beam," Opt. Commun. 193, 9-18 (2001). [CrossRef]
13. R. Dasgupta and P. K. Gupta, "Experimental observation of spin-independent transverse shift of the centre of gravity of a reflected Laguerre-Gaussian light beam," Opt. Commun. 257, 91-96 (2006). [CrossRef]
14. M. McGuirk and C. K. Carniglia, "An angular spectrum representation approach to the Goos- Hänchen shift," J. Opt. Soc. Am. 67, 103-107 (1975). [CrossRef]
15. P. W. Milonni and J. H. Eberly, Lasers (Wiley, 1988), Chap. 14.
16. I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, corrected and enlarged edition (Academic, 1980), Chap. 7.
17. M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975). [CrossRef]
18. V. Yu. Bazhenov, M. V. Vasnetov, and M. S. Soskin, "Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990).
19. M. A. Clifford, J. Arlt, J. Courtial, and K. Dholakia, "High-order Laguerre-Gaussian laser modes for studies of cold atoms," Opt. Commun. 156, 300-306 (1998). [CrossRef]

Ann. Phys.

• F. Goos and H. Hänchen, "Ein neue und fundamentaler Versuch zur total Reflection," Ann. Phys.  1, 333-345 (1947). [CrossRef]

Dokl. Akad. Nauk SSSR

• F. I. Fedorov, "K teorii polnovo otrazenija," Dokl. Akad. Nauk SSSR 105, 465-467 (1955).

J. Opt. Soc. Am.

• B. R. Horowitz and T. Tamir, "Lateral displacement of a light beam at a dielectric interface," J. Opt. Soc. Am. 61, 586-594 (1971). [CrossRef]
• M. McGuirk and C. K. Carniglia, "An angular spectrum representation approach to the Goos- Hänchen shift," J. Opt. Soc. Am. 67, 103-107 (1975). [CrossRef]

J. Opt. Soc. Am. A

• C. C. Chan and T. Tamir, "Beam phenomena at and near critical incidence upon a dielectric interface," J. Opt. Soc. Am. A 4, 655-663 (1987). [CrossRef]
• W. Nasalski, "Longitudinal and transverse effects of nonspecular reflection," J. Opt. Soc. Am. A 13, 172-181 (1996). [CrossRef]

JETP Lett.

• V. Yu. Bazhenov, M. V. Vasnetov, and M. S. Soskin, "Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990).

Opt. Commun.

• M. A. Clifford, J. Arlt, J. Courtial, and K. Dholakia, "High-order Laguerre-Gaussian laser modes for studies of cold atoms," Opt. Commun. 156, 300-306 (1998). [CrossRef]
• V. G. Fedoseyev, "Spin-independent transverse shift of the centre of gravity of a reflected and of a refracted light beam," Opt. Commun. 193, 9-18 (2001). [CrossRef]
• R. Dasgupta and P. K. Gupta, "Experimental observation of spin-independent transverse shift of the centre of gravity of a reflected Laguerre-Gaussian light beam," Opt. Commun. 257, 91-96 (2006). [CrossRef]
• W. Nasalski, "Three-dimensional beam reflection at dielectric interfaces," Opt. Commun. 197, 217-233 (2001). [CrossRef]

Phys. Rev. A

• L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992). [CrossRef] [PubMed]
• M. Lax, W. H. Louisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. A 11, 1365-1370 (1975). [CrossRef]

Phys. Rev. D

• 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]

Other

• M. Onoda, S. Murakami, and N. Nagaosa, "Hall effect of light," Phys. Rev. Lett. 93, 083901-1-4 (2004). [CrossRef] [PubMed]
• A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, "Intrinsic and extrinsic nature of the orbital angular momentum of a light beam," Phys. Rev. Lett. 88, 053601-1-4 (2002). [CrossRef]
• L. Allen, S. M. Barnett, and M. J. Padgett, ed. Optical angular momentum (Institute of Physics Publishing, Bristol and Philadelphia, 2003). [CrossRef]
• P. W. Milonni and J. H. Eberly, Lasers (Wiley, 1988), Chap. 14.
• I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, corrected and enlarged edition (Academic, 1980), Chap. 7.

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