Abstract

The problem of a reflected Gaussian beam after it has propagated through an inhomogeneous medium is studied. The characteristics of the displacement of the beam are described in detail. Three-layered media composed of two different homogeneous media and a finite stratified medium, whose permittivity decreases linearly with distance, are considered. The amount of the beam displacement obtained by this theory is much larger than that predicted by the conventional Goos-Hänchen shift.

© 1978 Optical Society of America

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  1. B. R. Horowitz and T. Tamir, "Lateral displacement of a light beam at a dielectric interface," J. Opt. Soc. Am. 61, 586–549 (1971).
  2. B. R. Horowitz and T. Tamir, "Unified theory of total reflection phenomena at a dielectric interface," Appl. Phys. 1, 31–38 (1973).
  3. J. R. Ra, H. L. Bertonic, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396–413 (1973).
  4. Y. M. Antar and W. M. Boerner, "Gaussian beam interaction with a planar dielectric interface," Can. J. Phys. 52, 962–972 (1974).
  5. D. S. Jones, The Theory of Electromagnetism (Pergamon, London, 1963), pp. 346–367.
  6. S. Kozaki and H. Sakurai, "Characteristics of a Gaussian beam at a dielectric interface," J. Opt. Soc. Am. 68, 508–514 (1978).
  7. S. Kozaki and Y. Mushiake, "Total reflection of a Gaussian beam from an inhomogeneous medium," J. Appl. Phys. 46, 9, 4098–4100 (1975).
  8. S. Kozaki and K. Kimura, "Wave path of a Gaussian beam in an inhomogeneous medium," J. Opt. Soc. Am. 61, 63–64 (1976).
  9. S. Kozaki and K. Kimura, "Propagation of a Gaussian beam in a medium of which permittivity decreases linearly with a distance, " Electron. Commun. Jpn. 59-B, 238–245 (1976).
  10. S. Kozaki and Y. Mushiake, "A theory and a model experiment on the focusing effect of a Gaussian beam in an inhomogeneous medium," J. Appl. Phys. 46, 3839–3843 (1975).

1978 (1)

1976 (2)

S. Kozaki and K. Kimura, "Wave path of a Gaussian beam in an inhomogeneous medium," J. Opt. Soc. Am. 61, 63–64 (1976).

S. Kozaki and K. Kimura, "Propagation of a Gaussian beam in a medium of which permittivity decreases linearly with a distance, " Electron. Commun. Jpn. 59-B, 238–245 (1976).

1975 (2)

S. Kozaki and Y. Mushiake, "A theory and a model experiment on the focusing effect of a Gaussian beam in an inhomogeneous medium," J. Appl. Phys. 46, 3839–3843 (1975).

S. Kozaki and Y. Mushiake, "Total reflection of a Gaussian beam from an inhomogeneous medium," J. Appl. Phys. 46, 9, 4098–4100 (1975).

1974 (1)

Y. M. Antar and W. M. Boerner, "Gaussian beam interaction with a planar dielectric interface," Can. J. Phys. 52, 962–972 (1974).

1973 (2)

B. R. Horowitz and T. Tamir, "Unified theory of total reflection phenomena at a dielectric interface," Appl. Phys. 1, 31–38 (1973).

J. R. Ra, H. L. Bertonic, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396–413 (1973).

1971 (1)

Antar, Y. M.

Y. M. Antar and W. M. Boerner, "Gaussian beam interaction with a planar dielectric interface," Can. J. Phys. 52, 962–972 (1974).

Bertonic, H. L.

J. R. Ra, H. L. Bertonic, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396–413 (1973).

Boerner, W. M.

Y. M. Antar and W. M. Boerner, "Gaussian beam interaction with a planar dielectric interface," Can. J. Phys. 52, 962–972 (1974).

Felsen, L. B.

J. R. Ra, H. L. Bertonic, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396–413 (1973).

Horowitz, B. R.

B. R. Horowitz and T. Tamir, "Unified theory of total reflection phenomena at a dielectric interface," Appl. Phys. 1, 31–38 (1973).

B. R. Horowitz and T. Tamir, "Lateral displacement of a light beam at a dielectric interface," J. Opt. Soc. Am. 61, 586–549 (1971).

Jones, D. S.

D. S. Jones, The Theory of Electromagnetism (Pergamon, London, 1963), pp. 346–367.

Kimura, K.

S. Kozaki and K. Kimura, "Propagation of a Gaussian beam in a medium of which permittivity decreases linearly with a distance, " Electron. Commun. Jpn. 59-B, 238–245 (1976).

S. Kozaki and K. Kimura, "Wave path of a Gaussian beam in an inhomogeneous medium," J. Opt. Soc. Am. 61, 63–64 (1976).

Kozaki, S.

S. Kozaki and H. Sakurai, "Characteristics of a Gaussian beam at a dielectric interface," J. Opt. Soc. Am. 68, 508–514 (1978).

S. Kozaki and K. Kimura, "Propagation of a Gaussian beam in a medium of which permittivity decreases linearly with a distance, " Electron. Commun. Jpn. 59-B, 238–245 (1976).

S. Kozaki and K. Kimura, "Wave path of a Gaussian beam in an inhomogeneous medium," J. Opt. Soc. Am. 61, 63–64 (1976).

S. Kozaki and Y. Mushiake, "Total reflection of a Gaussian beam from an inhomogeneous medium," J. Appl. Phys. 46, 9, 4098–4100 (1975).

S. Kozaki and Y. Mushiake, "A theory and a model experiment on the focusing effect of a Gaussian beam in an inhomogeneous medium," J. Appl. Phys. 46, 3839–3843 (1975).

Mushiake, Y.

S. Kozaki and Y. Mushiake, "A theory and a model experiment on the focusing effect of a Gaussian beam in an inhomogeneous medium," J. Appl. Phys. 46, 3839–3843 (1975).

S. Kozaki and Y. Mushiake, "Total reflection of a Gaussian beam from an inhomogeneous medium," J. Appl. Phys. 46, 9, 4098–4100 (1975).

Ra, J. R.

J. R. Ra, H. L. Bertonic, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396–413 (1973).

Sakurai, H.

Tamir, T.

B. R. Horowitz and T. Tamir, "Unified theory of total reflection phenomena at a dielectric interface," Appl. Phys. 1, 31–38 (1973).

B. R. Horowitz and T. Tamir, "Lateral displacement of a light beam at a dielectric interface," J. Opt. Soc. Am. 61, 586–549 (1971).

Appl. Phys. (1)

B. R. Horowitz and T. Tamir, "Unified theory of total reflection phenomena at a dielectric interface," Appl. Phys. 1, 31–38 (1973).

Can. J. Phys. (1)

Y. M. Antar and W. M. Boerner, "Gaussian beam interaction with a planar dielectric interface," Can. J. Phys. 52, 962–972 (1974).

Electron. Commun. Jpn. (1)

S. Kozaki and K. Kimura, "Propagation of a Gaussian beam in a medium of which permittivity decreases linearly with a distance, " Electron. Commun. Jpn. 59-B, 238–245 (1976).

J. Appl. Phys. (2)

S. Kozaki and Y. Mushiake, "A theory and a model experiment on the focusing effect of a Gaussian beam in an inhomogeneous medium," J. Appl. Phys. 46, 3839–3843 (1975).

S. Kozaki and Y. Mushiake, "Total reflection of a Gaussian beam from an inhomogeneous medium," J. Appl. Phys. 46, 9, 4098–4100 (1975).

J. Opt. Soc. Am. (3)

SIAM J. Appl. Math. (1)

J. R. Ra, H. L. Bertonic, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396–413 (1973).

Other (1)

D. S. Jones, The Theory of Electromagnetism (Pergamon, London, 1963), pp. 346–367.

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