Abstract

We present an exact calculation of the frustrated total internal reflection of a beam at a dielectric interface in the presence of a dielectric near-field detecting tip. The possibility of measuring subwavelength Goos–Hänchen lateral shifts of highly focused beams is shown.

© 1995 Optical Society of America

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References

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  1. D. Courjon, K. Serayeddine, M. Spajer, Opt. Commun. 73, 23 (1989); D. Courjon, C. Bainier, M. Spajer, J. Vac. Sci. Technol. B 10, 2436 (1989).
    [CrossRef]
  2. P. Dawson, F. de Fornel, J. P. Goudonnet, Phys. Rev. Lett. 72, 2979 (1994); F. de Fornel, P. M. Adam, L. Salomon, J. P. Goudonnet, P. Guerin, Opt. Lett. 14, 1082 (1994).
    [CrossRef]
  3. J. J. Greffet, A. Sentenac, R. Carminati, Opt. Commun. 116, 20 (1995); R. Carminati, J. J. Greffet, Opt. Commun. 116, 316 (1995).
    [CrossRef]
  4. N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 24, 2090 (1993); R. Carminati, A. Madrazo, M. Nieto-Vesperinas, Opt. Commun. 111, 26 (1994); N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 20, 949 (1994).
    [CrossRef]
  5. D. W. Pohl, in Advances in Optical and Electron Microscopy, J. R. Sheppard, T. Mulvey, eds. (Academic, New York, 1990), p. 243; D. W. Pohl, D. Courjon, eds., Near Field Optics, NATO ASI Ser.242, (1993).
  6. A. Madrazo, M. Nieto-Vesperinas, J. Opt. Soc. Am. A 12, 1298 (1995) ; “Surface structure and polariton interactions in the scattering of EM waves from a cylinder in front of a conducting grating,” J. Opt. Soc. Am. A (to be published).
    [CrossRef]
  7. F. Goos, H. Hänchen, Ann. Phys. 1, 333 (1947); F. Goos, H. Hänchen, Ann. Phys., 5, 251 (1951)C. Imbert, Y. Levy, Nouv. Rev. Opt. 6, 285 (1975).
    [CrossRef]
  8. F. Bretenaker, A. L. Floch, L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
    [CrossRef] [PubMed]
  9. K. Artmann, Ann. Phys. 2, 87 (1948).
    [CrossRef]
  10. H. K. V. Lotsch, J. Opt. Soc. Am. 58, 551 (1968).
    [CrossRef]
  11. H. R. Horowitz, T. Tamir, J. Opt. Soc. Am. 61, 586 (1971); F. Falco, T. Tamir, J. Opt. Soc. Am. A 7, 185 (1990); J. J. Greffet, C. Baylard, Opt. Commun. 93, 271 (1992).
    [CrossRef]
  12. J. J. Crowan, B. Anicin, J. Opt. Soc. Am. 67, 1307 (1977); M. Wong, G. E. Reesor, L. A. A. Read, Can. J. Phys. 55, 1061 (1977).
    [CrossRef]
  13. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), Sec. 1.5.4.
  14. J. Ptich, Ann. Phys. 3, 433 (1929); Optik 12, 41 (1955).
  15. R. H. Renard, J. Opt. Soc. Am. 54, 1190 (1964).
    [CrossRef]

1995 (2)

1994 (1)

P. Dawson, F. de Fornel, J. P. Goudonnet, Phys. Rev. Lett. 72, 2979 (1994); F. de Fornel, P. M. Adam, L. Salomon, J. P. Goudonnet, P. Guerin, Opt. Lett. 14, 1082 (1994).
[CrossRef]

1993 (1)

N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 24, 2090 (1993); R. Carminati, A. Madrazo, M. Nieto-Vesperinas, Opt. Commun. 111, 26 (1994); N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 20, 949 (1994).
[CrossRef]

1992 (1)

F. Bretenaker, A. L. Floch, L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

1989 (1)

D. Courjon, K. Serayeddine, M. Spajer, Opt. Commun. 73, 23 (1989); D. Courjon, C. Bainier, M. Spajer, J. Vac. Sci. Technol. B 10, 2436 (1989).
[CrossRef]

1977 (1)

1971 (1)

1968 (1)

1964 (1)

1948 (1)

K. Artmann, Ann. Phys. 2, 87 (1948).
[CrossRef]

1947 (1)

F. Goos, H. Hänchen, Ann. Phys. 1, 333 (1947); F. Goos, H. Hänchen, Ann. Phys., 5, 251 (1951)C. Imbert, Y. Levy, Nouv. Rev. Opt. 6, 285 (1975).
[CrossRef]

1929 (1)

J. Ptich, Ann. Phys. 3, 433 (1929); Optik 12, 41 (1955).

Anicin, B.

Artmann, K.

K. Artmann, Ann. Phys. 2, 87 (1948).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), Sec. 1.5.4.

Bretenaker, F.

F. Bretenaker, A. L. Floch, L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

Carminati, R.

J. J. Greffet, A. Sentenac, R. Carminati, Opt. Commun. 116, 20 (1995); R. Carminati, J. J. Greffet, Opt. Commun. 116, 316 (1995).
[CrossRef]

Courjon, D.

D. Courjon, K. Serayeddine, M. Spajer, Opt. Commun. 73, 23 (1989); D. Courjon, C. Bainier, M. Spajer, J. Vac. Sci. Technol. B 10, 2436 (1989).
[CrossRef]

Crowan, J. J.

Dawson, P.

P. Dawson, F. de Fornel, J. P. Goudonnet, Phys. Rev. Lett. 72, 2979 (1994); F. de Fornel, P. M. Adam, L. Salomon, J. P. Goudonnet, P. Guerin, Opt. Lett. 14, 1082 (1994).
[CrossRef]

de Fornel, F.

P. Dawson, F. de Fornel, J. P. Goudonnet, Phys. Rev. Lett. 72, 2979 (1994); F. de Fornel, P. M. Adam, L. Salomon, J. P. Goudonnet, P. Guerin, Opt. Lett. 14, 1082 (1994).
[CrossRef]

Dutriaux, L.

F. Bretenaker, A. L. Floch, L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

Floch, A. L.

F. Bretenaker, A. L. Floch, L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

Garcia, N.

N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 24, 2090 (1993); R. Carminati, A. Madrazo, M. Nieto-Vesperinas, Opt. Commun. 111, 26 (1994); N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 20, 949 (1994).
[CrossRef]

Goos, F.

F. Goos, H. Hänchen, Ann. Phys. 1, 333 (1947); F. Goos, H. Hänchen, Ann. Phys., 5, 251 (1951)C. Imbert, Y. Levy, Nouv. Rev. Opt. 6, 285 (1975).
[CrossRef]

Goudonnet, J. P.

P. Dawson, F. de Fornel, J. P. Goudonnet, Phys. Rev. Lett. 72, 2979 (1994); F. de Fornel, P. M. Adam, L. Salomon, J. P. Goudonnet, P. Guerin, Opt. Lett. 14, 1082 (1994).
[CrossRef]

Greffet, J. J.

J. J. Greffet, A. Sentenac, R. Carminati, Opt. Commun. 116, 20 (1995); R. Carminati, J. J. Greffet, Opt. Commun. 116, 316 (1995).
[CrossRef]

Hänchen, H.

F. Goos, H. Hänchen, Ann. Phys. 1, 333 (1947); F. Goos, H. Hänchen, Ann. Phys., 5, 251 (1951)C. Imbert, Y. Levy, Nouv. Rev. Opt. 6, 285 (1975).
[CrossRef]

Horowitz, H. R.

Lotsch, H. K. V.

Madrazo, A.

Nieto-Vesperinas, M.

A. Madrazo, M. Nieto-Vesperinas, J. Opt. Soc. Am. A 12, 1298 (1995) ; “Surface structure and polariton interactions in the scattering of EM waves from a cylinder in front of a conducting grating,” J. Opt. Soc. Am. A (to be published).
[CrossRef]

N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 24, 2090 (1993); R. Carminati, A. Madrazo, M. Nieto-Vesperinas, Opt. Commun. 111, 26 (1994); N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 20, 949 (1994).
[CrossRef]

Pohl, D. W.

D. W. Pohl, in Advances in Optical and Electron Microscopy, J. R. Sheppard, T. Mulvey, eds. (Academic, New York, 1990), p. 243; D. W. Pohl, D. Courjon, eds., Near Field Optics, NATO ASI Ser.242, (1993).

Ptich, J.

J. Ptich, Ann. Phys. 3, 433 (1929); Optik 12, 41 (1955).

Renard, R. H.

Sentenac, A.

J. J. Greffet, A. Sentenac, R. Carminati, Opt. Commun. 116, 20 (1995); R. Carminati, J. J. Greffet, Opt. Commun. 116, 316 (1995).
[CrossRef]

Serayeddine, K.

D. Courjon, K. Serayeddine, M. Spajer, Opt. Commun. 73, 23 (1989); D. Courjon, C. Bainier, M. Spajer, J. Vac. Sci. Technol. B 10, 2436 (1989).
[CrossRef]

Spajer, M.

D. Courjon, K. Serayeddine, M. Spajer, Opt. Commun. 73, 23 (1989); D. Courjon, C. Bainier, M. Spajer, J. Vac. Sci. Technol. B 10, 2436 (1989).
[CrossRef]

Tamir, T.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), Sec. 1.5.4.

Ann. Phys. (3)

K. Artmann, Ann. Phys. 2, 87 (1948).
[CrossRef]

F. Goos, H. Hänchen, Ann. Phys. 1, 333 (1947); F. Goos, H. Hänchen, Ann. Phys., 5, 251 (1951)C. Imbert, Y. Levy, Nouv. Rev. Opt. 6, 285 (1975).
[CrossRef]

J. Ptich, Ann. Phys. 3, 433 (1929); Optik 12, 41 (1955).

J. Opt. Soc. Am. (4)

J. Opt. Soc. Am. A (1)

Opt. Commun. (2)

D. Courjon, K. Serayeddine, M. Spajer, Opt. Commun. 73, 23 (1989); D. Courjon, C. Bainier, M. Spajer, J. Vac. Sci. Technol. B 10, 2436 (1989).
[CrossRef]

J. J. Greffet, A. Sentenac, R. Carminati, Opt. Commun. 116, 20 (1995); R. Carminati, J. J. Greffet, Opt. Commun. 116, 316 (1995).
[CrossRef]

Opt. Lett. (1)

N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 24, 2090 (1993); R. Carminati, A. Madrazo, M. Nieto-Vesperinas, Opt. Commun. 111, 26 (1994); N. Garcia, M. Nieto-Vesperinas, Opt. Lett. 20, 949 (1994).
[CrossRef]

Phys. Rev. Lett. (2)

P. Dawson, F. de Fornel, J. P. Goudonnet, Phys. Rev. Lett. 72, 2979 (1994); F. de Fornel, P. M. Adam, L. Salomon, J. P. Goudonnet, P. Guerin, Opt. Lett. 14, 1082 (1994).
[CrossRef]

F. Bretenaker, A. L. Floch, L. Dutriaux, Phys. Rev. Lett. 68, 931 (1992).
[CrossRef] [PubMed]

Other (2)

D. W. Pohl, in Advances in Optical and Electron Microscopy, J. R. Sheppard, T. Mulvey, eds. (Academic, New York, 1990), p. 243; D. W. Pohl, D. Courjon, eds., Near Field Optics, NATO ASI Ser.242, (1993).

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), Sec. 1.5.4.

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Figures (5)

Fig. 1
Fig. 1

Scattering geometry. The inset shows the field distribution of the incident beam E(i) and of the reflected shifted beam E(r). The white arrows show the bending effect of the Poynting vector. (The two plots are not shown in the same scale.)

Fig. 2
Fig. 2

Density of energy flux across the dielectric interface z = 0 [z component of the time-averaged Poynting vector, 〈Sz(x, z = 0)〉] in arbitrary units for cases in which dλ. The inset shows a magnification over the interval x/λ = [0.3, 0.5]. a = 0.5λ, 1 = 2 = 2.12, θi = 50°.

Fig. 3
Fig. 3

Normalized total transmitted intensity at infinity versus distance d cylinder plane. θi = 50°, 1 = 2.12, W = 8λ. Thick solid curves, 2 = 3.8; thin solid curves, 2 = 2.12; dashed curves, 2 = −9.89 + i1.05. (a) a = 0.05λ, (b) a= 0.1λ, (c) a = 0.5λ.

Fig. 4
Fig. 4

Normalized integrated intensity along the cylinder diameter versus distance d cylinder plane. W = 8λ, θi = 50°, a = 0.1λ, 1 = 2 = 2.12. Solid curve, integrated intensity; filled circles, fitting to a negative exponential.

Fig. 5
Fig. 5

(a) Integrated intensity inside the cylinder at constant height z = d = 0.15λ (curve 1), and total energy flux Φ entering z > 0 (curve 2), versus lateral position of the cylinder. W = 8λ, θi = 50°, 1 = 2 = 2.12, a = 0.1λ. (b) Same as (a) magnified in the interval x/λ = [0, 1].

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