Abstract

A normal mode analysis has been employed to calculate the transmission and reflection coefficients for a surface polariton propagating along the interface between a surface-active medium and a dielectric medium and crossing a boundary into a second dielectric medium. The efficiencies of conversion of the surface polariton into transmitted and reflected bulk waves of both s and p polarization are also investigated.

© 1983 Optical Society of America

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References

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  1. V. M. Agranovich, D. L. Mills, eds., Surface Polaritons (North-Holland, Amsterdam, 1982); A. D. Boardman, ed., Electromagnetic Surface Modes (Wiley, New York, 1982).
  2. For example, M. Born, E. Wolf, Principles of Optics, 3rd ed. (Pergamon, Oxford, 1965), Chap. I.
  3. G. I. Stegeman, A. A. Maradudin, T. S. Rahman, Phys. Rev. B 23, 2576 (1981).
    [CrossRef]
  4. E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, E. Burstein, F. de Martini, eds. (Pergamon, New York, 1974), p. 89.

1981 (1)

G. I. Stegeman, A. A. Maradudin, T. S. Rahman, Phys. Rev. B 23, 2576 (1981).
[CrossRef]

Born, M.

For example, M. Born, E. Wolf, Principles of Optics, 3rd ed. (Pergamon, Oxford, 1965), Chap. I.

Burstein, E.

E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, E. Burstein, F. de Martini, eds. (Pergamon, New York, 1974), p. 89.

Hartstein, A.

E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, E. Burstein, F. de Martini, eds. (Pergamon, New York, 1974), p. 89.

Maradudin, A. A.

G. I. Stegeman, A. A. Maradudin, T. S. Rahman, Phys. Rev. B 23, 2576 (1981).
[CrossRef]

E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, E. Burstein, F. de Martini, eds. (Pergamon, New York, 1974), p. 89.

Mills, D. L.

E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, E. Burstein, F. de Martini, eds. (Pergamon, New York, 1974), p. 89.

Rahman, T. S.

G. I. Stegeman, A. A. Maradudin, T. S. Rahman, Phys. Rev. B 23, 2576 (1981).
[CrossRef]

Schoenwald, J.

E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, E. Burstein, F. de Martini, eds. (Pergamon, New York, 1974), p. 89.

Stegeman, G. I.

G. I. Stegeman, A. A. Maradudin, T. S. Rahman, Phys. Rev. B 23, 2576 (1981).
[CrossRef]

Wallis, R. F.

E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, E. Burstein, F. de Martini, eds. (Pergamon, New York, 1974), p. 89.

Wolf, E.

For example, M. Born, E. Wolf, Principles of Optics, 3rd ed. (Pergamon, Oxford, 1965), Chap. I.

Phys. Rev. B (1)

G. I. Stegeman, A. A. Maradudin, T. S. Rahman, Phys. Rev. B 23, 2576 (1981).
[CrossRef]

Other (3)

E. Burstein, A. Hartstein, J. Schoenwald, A. A. Maradudin, D. L. Mills, R. F. Wallis, in Polaritons, E. Burstein, F. de Martini, eds. (Pergamon, New York, 1974), p. 89.

V. M. Agranovich, D. L. Mills, eds., Surface Polaritons (North-Holland, Amsterdam, 1982); A. D. Boardman, ed., Electromagnetic Surface Modes (Wiley, New York, 1982).

For example, M. Born, E. Wolf, Principles of Optics, 3rd ed. (Pergamon, Oxford, 1965), Chap. I.

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Figures (4)

Fig. 1
Fig. 1

The fraction of incident surface-polariton flux converted into reflected surface polaritons —•—•—•—, transmitted surface polaritons –○–○–○–, and transmitted bulk polaritons –•– –•– –•– as a function of the angle of incidence θi. ωp/ω = 4, d = d0 = 6.7, a = 1 → b = 2. The insert gives the system geometry.

Fig. 2
Fig. 2

The fraction of incident surface-polariton flux converted to reflected surface polaritons –•–•–•–, transmitted surface polaritons –○–○–○–, transmitted bulk polaritons –•– –•– –•–, and reflected bulk polaritons –▲– –▲– –▲– as a function of the incidence angle θi. ωp/ω = 4, d = d0 = 6.7, a = 2 → b = 1.

Fig. 3
Fig. 3

The fraction of incident surface-polariton flux converted into reflected surface polaritons –○–○–○–, transmitted surface polaritons –•–•–•–, transmitted p-polarized bulk waves –•– – –•–, transmitted s-polarized bulk waves –■– – –■– – –■–, and reflected s-polarized bulk waves –▲–▲–▲. The s-polarized coefficients are magnified by a factor of 100. ωp/ω = 2.5, d = d0 = 2.8, a = 1 → b = 2.

Fig. 4
Fig. 4

The surface-polariton reflection and transmission coefficients as functions of Δ = ba for both Δ < 0 (–•–•–•–) and Δ > 0 (–•– – –•–) at normal incidence. The solid lines are calculated from Eq. (2). ωp/ω = 4, d = d0 = 6.7.

Equations (2)

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k a ( 1 ) sin θ i = k b ( m ) sin θ t = k a ( n ) sin θ r ,
R = | k a ( 1 ) k b ( 1 ) k a ( 1 ) + k b ( 1 ) | 2 2 ( γ a γ b ) 1 / 2 γ a + γ b , T = 1 R ,

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