Abstract

The total internal reflectance of a homogeneous amplifying medium in contact with a thin silver film which is evaporated on a high-index prism is determined theoretically with the help of the Fresnel formulas. At the angle of incidence for surface-plasmon excitation the reflectance is reasonantly enhanced when the gain of the amplifying medium exceeds a value determined by the absorption of the metal film. For any value of gain above threshold there exists a thickness of the silver film for which the reflectance has a singular point. A device utilizing this resonance would be possible near 1 μ where the absorption of the silver is at a minimun and high-gain dyes are available.

© 1979 Optical Society of America

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References

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  1. B. Ya Kogan, V. M. Volkov, and S. A. Lebedev, Pis’ma Zh. Eksp. Teor. Fiz. 16, 144 (1972)[JETP Lett. 16, 100 (1972)].
  2. S. A. Lebedev, V. M. Volkov, and B. Ya Kogan, Opt. Spektrosk. 35, 976 (1973).
  3. G. N. Romanov and S. S. Shakhidzanov, Pis’ma Zh. Eksp. Teor. Fiz. 16, 298 (1972)[JETP Lett. 16, 309 (1972)].
  4. W. Lukosz and P. P. Herrmann, Opt. Commun. 17, 192 (1976).
    [Crossref]
  5. P. R. Callary and C. K. Carniglia, J. Opt. Soc. Am. 66, 775 (1976).
    [Crossref]
  6. R. F. Cybulski and C. K. Carniglia, J. Opt. Soc. Am. 67, 1620 (1977).
    [Crossref]
  7. For a review of surface electromagnetic waves see E. Burstein and et al., J. Vac. Sci. Technol. 11, 1104 (1974).
    [Crossref]
  8. H. J. Simon, D. E. Mitchell, and J. G. Watson, Am. J. Phys. 43, 630 (1975).
    [Crossref]
  9. M. Born and E. Wolf, Principles of Optics (MacMillan, New York, 1965), 3rd edition,p. 62.
  10. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
    [Crossref]
  11. J. Schoenwald and et al., Solid State Commun. 12, 185 (1973).
    [Crossref]
  12. T. W. Hänsch and et al., Appl. Phys. Lett. 18, 108 (1971).
    [Crossref]
  13. A. Siegman, An Introduction to Lasers and Masers (McGraw Hill, New York, 1971), p. 433.
  14. K. Kato, IEEE J. Quantum Electron. QE-14, 7 (1978).
    [Crossref]

1978 (1)

K. Kato, IEEE J. Quantum Electron. QE-14, 7 (1978).
[Crossref]

1977 (1)

1976 (2)

P. R. Callary and C. K. Carniglia, J. Opt. Soc. Am. 66, 775 (1976).
[Crossref]

W. Lukosz and P. P. Herrmann, Opt. Commun. 17, 192 (1976).
[Crossref]

1975 (1)

H. J. Simon, D. E. Mitchell, and J. G. Watson, Am. J. Phys. 43, 630 (1975).
[Crossref]

1974 (1)

For a review of surface electromagnetic waves see E. Burstein and et al., J. Vac. Sci. Technol. 11, 1104 (1974).
[Crossref]

1973 (2)

S. A. Lebedev, V. M. Volkov, and B. Ya Kogan, Opt. Spektrosk. 35, 976 (1973).

J. Schoenwald and et al., Solid State Commun. 12, 185 (1973).
[Crossref]

1972 (3)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[Crossref]

G. N. Romanov and S. S. Shakhidzanov, Pis’ma Zh. Eksp. Teor. Fiz. 16, 298 (1972)[JETP Lett. 16, 309 (1972)].

B. Ya Kogan, V. M. Volkov, and S. A. Lebedev, Pis’ma Zh. Eksp. Teor. Fiz. 16, 144 (1972)[JETP Lett. 16, 100 (1972)].

1971 (1)

T. W. Hänsch and et al., Appl. Phys. Lett. 18, 108 (1971).
[Crossref]

Born, M.

M. Born and E. Wolf, Principles of Optics (MacMillan, New York, 1965), 3rd edition,p. 62.

Burstein, E.

For a review of surface electromagnetic waves see E. Burstein and et al., J. Vac. Sci. Technol. 11, 1104 (1974).
[Crossref]

Callary, P. R.

Carniglia, C. K.

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[Crossref]

Cybulski, R. F.

Hänsch, T. W.

T. W. Hänsch and et al., Appl. Phys. Lett. 18, 108 (1971).
[Crossref]

Herrmann, P. P.

W. Lukosz and P. P. Herrmann, Opt. Commun. 17, 192 (1976).
[Crossref]

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[Crossref]

Kato, K.

K. Kato, IEEE J. Quantum Electron. QE-14, 7 (1978).
[Crossref]

Kogan, B. Ya

S. A. Lebedev, V. M. Volkov, and B. Ya Kogan, Opt. Spektrosk. 35, 976 (1973).

B. Ya Kogan, V. M. Volkov, and S. A. Lebedev, Pis’ma Zh. Eksp. Teor. Fiz. 16, 144 (1972)[JETP Lett. 16, 100 (1972)].

Lebedev, S. A.

S. A. Lebedev, V. M. Volkov, and B. Ya Kogan, Opt. Spektrosk. 35, 976 (1973).

B. Ya Kogan, V. M. Volkov, and S. A. Lebedev, Pis’ma Zh. Eksp. Teor. Fiz. 16, 144 (1972)[JETP Lett. 16, 100 (1972)].

Lukosz, W.

W. Lukosz and P. P. Herrmann, Opt. Commun. 17, 192 (1976).
[Crossref]

Mitchell, D. E.

H. J. Simon, D. E. Mitchell, and J. G. Watson, Am. J. Phys. 43, 630 (1975).
[Crossref]

Romanov, G. N.

G. N. Romanov and S. S. Shakhidzanov, Pis’ma Zh. Eksp. Teor. Fiz. 16, 298 (1972)[JETP Lett. 16, 309 (1972)].

Schoenwald, J.

J. Schoenwald and et al., Solid State Commun. 12, 185 (1973).
[Crossref]

Shakhidzanov, S. S.

G. N. Romanov and S. S. Shakhidzanov, Pis’ma Zh. Eksp. Teor. Fiz. 16, 298 (1972)[JETP Lett. 16, 309 (1972)].

Siegman, A.

A. Siegman, An Introduction to Lasers and Masers (McGraw Hill, New York, 1971), p. 433.

Simon, H. J.

H. J. Simon, D. E. Mitchell, and J. G. Watson, Am. J. Phys. 43, 630 (1975).
[Crossref]

Volkov, V. M.

S. A. Lebedev, V. M. Volkov, and B. Ya Kogan, Opt. Spektrosk. 35, 976 (1973).

B. Ya Kogan, V. M. Volkov, and S. A. Lebedev, Pis’ma Zh. Eksp. Teor. Fiz. 16, 144 (1972)[JETP Lett. 16, 100 (1972)].

Watson, J. G.

H. J. Simon, D. E. Mitchell, and J. G. Watson, Am. J. Phys. 43, 630 (1975).
[Crossref]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (MacMillan, New York, 1965), 3rd edition,p. 62.

Am. J. Phys. (1)

H. J. Simon, D. E. Mitchell, and J. G. Watson, Am. J. Phys. 43, 630 (1975).
[Crossref]

Appl. Phys. Lett. (1)

T. W. Hänsch and et al., Appl. Phys. Lett. 18, 108 (1971).
[Crossref]

IEEE J. Quantum Electron. (1)

K. Kato, IEEE J. Quantum Electron. QE-14, 7 (1978).
[Crossref]

J. Opt. Soc. Am. (2)

J. Vac. Sci. Technol. (1)

For a review of surface electromagnetic waves see E. Burstein and et al., J. Vac. Sci. Technol. 11, 1104 (1974).
[Crossref]

Opt. Commun. (1)

W. Lukosz and P. P. Herrmann, Opt. Commun. 17, 192 (1976).
[Crossref]

Opt. Spektrosk. (1)

S. A. Lebedev, V. M. Volkov, and B. Ya Kogan, Opt. Spektrosk. 35, 976 (1973).

Phys. Rev. B (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[Crossref]

Pis’ma Zh. Eksp. Teor. Fiz. (2)

G. N. Romanov and S. S. Shakhidzanov, Pis’ma Zh. Eksp. Teor. Fiz. 16, 298 (1972)[JETP Lett. 16, 309 (1972)].

B. Ya Kogan, V. M. Volkov, and S. A. Lebedev, Pis’ma Zh. Eksp. Teor. Fiz. 16, 144 (1972)[JETP Lett. 16, 100 (1972)].

Solid State Commun. (1)

J. Schoenwald and et al., Solid State Commun. 12, 185 (1973).
[Crossref]

Other (2)

A. Siegman, An Introduction to Lasers and Masers (McGraw Hill, New York, 1971), p. 433.

M. Born and E. Wolf, Principles of Optics (MacMillan, New York, 1965), 3rd edition,p. 62.

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Figures (4)

FIG. 1
FIG. 1

Geometry for enhanced reflectance using surface-plasmon excitation. Thickness of gain medium is assumed to be infinite.

FIG. 2
FIG. 2

Reflectance vs angle of incidence near surface-plasmon angle for several values of the gain parameter α defined in the text.

FIG. 3
FIG. 3

Reflectance vs angle of incidence as in Fig. 2 with thickness of metal film adjusted to produce singularity. For α = 2, d = 616 Å and for α = 3, d = 540 Å.

FIG. 4
FIG. 4

Reflectance vs thickness of gain medium at the surface-plasmon angle. Thickness of metal film fixed at 560 Å.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

k p = ω c ( + ) 1 / 2 ,
R = | r 12 + r 23 e + 2 i k d 1 + r 12 r 23 e + 2 i k d | 2 .
r i j = j 1 / 2 cos θ i i 1 / 2 cos θ j j 1 / 2 cos θ i + i 1 / 2 cos θ j .
r 23 = i 4 2 / 2 ( 1 α ) ,
α ( 3 / 2 ) ( 2 / 3 ) 2 .
r 234 = r 23 + r 34 e + i 2 k t 1 + r 23 r 34 e + i 2 k t .
3 = ( c / ω ) 3 1 / 2 g 0 .