Abstract

This paper generalizes the theory of the interaction of an electromagnetic H wave with a metallic film included between two dielectric media. Two field configurations are considered: symmetric and antisymmetric. Based on such configurations, expressions are obtained for the reflectance, absorptance, and transmittance of an electromagnetic wave through the film. A graphical study of these coefficients is presented.

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  1. W. E. Jones, K. L. Kliewer, and R. Fuchs, “Nonlocal theory of the optical properties of thin metallic films,” Phys. Rev. 178, 1201 (1969).
    [CrossRef]
  2. K. L. Kliewer and R. Fuchs, “Optical properties of an electron gas: Further studies of a nonlocal description,” Phys. Rev. 185, 805 (1969).
    [CrossRef]
  3. A. N. Kondratenko, Penetration of Waves into a Plasma (Atomizdat, Moscow, 1979).
  4. A. V. Latyshev and A. A. Yushkanov, “Interaction of the electromagnetic S-wave with the thin metal film,” arXiv.org, arXiv:1010.1408.
  5. A. Paredes-Juárez, F. Días-Monge, N. M. Makarov, and F. Pérez-Rodríguez, “Nonlocal effects in the electrodynamics of metallic slabs,” Pis’ma Zh. Eksp. Teor. Fiz. 90, 687 (2009). [JETP Lett. 90, 623 (2009)].
  6. T. Brandt, M. Hövel, B. Gompf, and M. Dressel, “Temperature- and frequency-dependent optical properties of ultra-thin Au films,” Phys. Rev. B 78, 205409 (2008).
    [CrossRef]
  7. F. E. Hutchison and W. N. Hansen, “Optical properties of free-electron metal films including electron surface scattering,” Phys. Rev. B 20, 4069 (1979).
    [CrossRef]
  8. E. M. Lifshitz and L. P. Pitayevsky, Physical Kinetics (Fizmatlit, Moscow, 2001; Pergamon Press, Oxford, 1981).
  9. R. Dimmich, “Optical properties of metallic multilayer films,” Phys. Rev. B 45, 3784 (1992).
    [CrossRef]
  10. V. A. Kizel’, The Reflection of Light (Nauka, Moscow, 1973).
  11. R. Fuchs, K. L. Kliewer, and W. J. Pardee, “Optical properties of an ionic crystal slab,” Phys. Rev. 150, 589 (1966).
    [CrossRef]
  12. A. V. Latyshev and A. A. Yushkanov, “Exact solutions of the theory of the anomalous skin effect for a layer. Reflective boundary conditions,” Zh. Vychisl. Mat. Mat. Fiz. 33, No. 2, 259 (1993).
  13. A. V. Latyshev, A. G. Lesskis, and A. A. Yushkanov, “Exact solution concerning the behavior of an electron plasma in a metal in a variable electric field,” Teor. Mat. Fiz. 92, No. 1, 127 (1992).
  14. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1992; Pergamon Press, Oxford, 1960).
  15. E. H. Sondheimer, “The mean free path of electrons in metals,” Adv. Phys. 50, 499 (2001).
    [CrossRef]
  16. K. L. Kliewer and R. Fuchs, Phys. Rev. 172, 607 (1968).
    [CrossRef]

2009 (1)

A. Paredes-Juárez, F. Días-Monge, N. M. Makarov, and F. Pérez-Rodríguez, “Nonlocal effects in the electrodynamics of metallic slabs,” Pis’ma Zh. Eksp. Teor. Fiz. 90, 687 (2009). [JETP Lett. 90, 623 (2009)].

2008 (1)

T. Brandt, M. Hövel, B. Gompf, and M. Dressel, “Temperature- and frequency-dependent optical properties of ultra-thin Au films,” Phys. Rev. B 78, 205409 (2008).
[CrossRef]

2001 (1)

E. H. Sondheimer, “The mean free path of electrons in metals,” Adv. Phys. 50, 499 (2001).
[CrossRef]

1993 (1)

A. V. Latyshev and A. A. Yushkanov, “Exact solutions of the theory of the anomalous skin effect for a layer. Reflective boundary conditions,” Zh. Vychisl. Mat. Mat. Fiz. 33, No. 2, 259 (1993).

1992 (2)

A. V. Latyshev, A. G. Lesskis, and A. A. Yushkanov, “Exact solution concerning the behavior of an electron plasma in a metal in a variable electric field,” Teor. Mat. Fiz. 92, No. 1, 127 (1992).

R. Dimmich, “Optical properties of metallic multilayer films,” Phys. Rev. B 45, 3784 (1992).
[CrossRef]

1979 (1)

F. E. Hutchison and W. N. Hansen, “Optical properties of free-electron metal films including electron surface scattering,” Phys. Rev. B 20, 4069 (1979).
[CrossRef]

1969 (2)

W. E. Jones, K. L. Kliewer, and R. Fuchs, “Nonlocal theory of the optical properties of thin metallic films,” Phys. Rev. 178, 1201 (1969).
[CrossRef]

K. L. Kliewer and R. Fuchs, “Optical properties of an electron gas: Further studies of a nonlocal description,” Phys. Rev. 185, 805 (1969).
[CrossRef]

1968 (1)

K. L. Kliewer and R. Fuchs, Phys. Rev. 172, 607 (1968).
[CrossRef]

1966 (1)

R. Fuchs, K. L. Kliewer, and W. J. Pardee, “Optical properties of an ionic crystal slab,” Phys. Rev. 150, 589 (1966).
[CrossRef]

Brandt, T.

T. Brandt, M. Hövel, B. Gompf, and M. Dressel, “Temperature- and frequency-dependent optical properties of ultra-thin Au films,” Phys. Rev. B 78, 205409 (2008).
[CrossRef]

Días-Monge, F.

A. Paredes-Juárez, F. Días-Monge, N. M. Makarov, and F. Pérez-Rodríguez, “Nonlocal effects in the electrodynamics of metallic slabs,” Pis’ma Zh. Eksp. Teor. Fiz. 90, 687 (2009). [JETP Lett. 90, 623 (2009)].

Dimmich, R.

R. Dimmich, “Optical properties of metallic multilayer films,” Phys. Rev. B 45, 3784 (1992).
[CrossRef]

Dressel, M.

T. Brandt, M. Hövel, B. Gompf, and M. Dressel, “Temperature- and frequency-dependent optical properties of ultra-thin Au films,” Phys. Rev. B 78, 205409 (2008).
[CrossRef]

Fuchs, R.

W. E. Jones, K. L. Kliewer, and R. Fuchs, “Nonlocal theory of the optical properties of thin metallic films,” Phys. Rev. 178, 1201 (1969).
[CrossRef]

K. L. Kliewer and R. Fuchs, “Optical properties of an electron gas: Further studies of a nonlocal description,” Phys. Rev. 185, 805 (1969).
[CrossRef]

K. L. Kliewer and R. Fuchs, Phys. Rev. 172, 607 (1968).
[CrossRef]

R. Fuchs, K. L. Kliewer, and W. J. Pardee, “Optical properties of an ionic crystal slab,” Phys. Rev. 150, 589 (1966).
[CrossRef]

Gompf, B.

T. Brandt, M. Hövel, B. Gompf, and M. Dressel, “Temperature- and frequency-dependent optical properties of ultra-thin Au films,” Phys. Rev. B 78, 205409 (2008).
[CrossRef]

Hansen, W. N.

F. E. Hutchison and W. N. Hansen, “Optical properties of free-electron metal films including electron surface scattering,” Phys. Rev. B 20, 4069 (1979).
[CrossRef]

Hövel, M.

T. Brandt, M. Hövel, B. Gompf, and M. Dressel, “Temperature- and frequency-dependent optical properties of ultra-thin Au films,” Phys. Rev. B 78, 205409 (2008).
[CrossRef]

Hutchison, F. E.

F. E. Hutchison and W. N. Hansen, “Optical properties of free-electron metal films including electron surface scattering,” Phys. Rev. B 20, 4069 (1979).
[CrossRef]

Jones, W. E.

W. E. Jones, K. L. Kliewer, and R. Fuchs, “Nonlocal theory of the optical properties of thin metallic films,” Phys. Rev. 178, 1201 (1969).
[CrossRef]

Kizel’, V. A.

V. A. Kizel’, The Reflection of Light (Nauka, Moscow, 1973).

Kliewer, K. L.

W. E. Jones, K. L. Kliewer, and R. Fuchs, “Nonlocal theory of the optical properties of thin metallic films,” Phys. Rev. 178, 1201 (1969).
[CrossRef]

K. L. Kliewer and R. Fuchs, “Optical properties of an electron gas: Further studies of a nonlocal description,” Phys. Rev. 185, 805 (1969).
[CrossRef]

K. L. Kliewer and R. Fuchs, Phys. Rev. 172, 607 (1968).
[CrossRef]

R. Fuchs, K. L. Kliewer, and W. J. Pardee, “Optical properties of an ionic crystal slab,” Phys. Rev. 150, 589 (1966).
[CrossRef]

Kondratenko, A. N.

A. N. Kondratenko, Penetration of Waves into a Plasma (Atomizdat, Moscow, 1979).

Landau, L. D.

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1992; Pergamon Press, Oxford, 1960).

Latyshev, A. V.

A. V. Latyshev and A. A. Yushkanov, “Exact solutions of the theory of the anomalous skin effect for a layer. Reflective boundary conditions,” Zh. Vychisl. Mat. Mat. Fiz. 33, No. 2, 259 (1993).

A. V. Latyshev, A. G. Lesskis, and A. A. Yushkanov, “Exact solution concerning the behavior of an electron plasma in a metal in a variable electric field,” Teor. Mat. Fiz. 92, No. 1, 127 (1992).

A. V. Latyshev and A. A. Yushkanov, “Interaction of the electromagnetic S-wave with the thin metal film,” arXiv.org, arXiv:1010.1408.

Lesskis, A. G.

A. V. Latyshev, A. G. Lesskis, and A. A. Yushkanov, “Exact solution concerning the behavior of an electron plasma in a metal in a variable electric field,” Teor. Mat. Fiz. 92, No. 1, 127 (1992).

Lifshitz, E. M.

E. M. Lifshitz and L. P. Pitayevsky, Physical Kinetics (Fizmatlit, Moscow, 2001; Pergamon Press, Oxford, 1981).

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1992; Pergamon Press, Oxford, 1960).

Makarov, N. M.

A. Paredes-Juárez, F. Días-Monge, N. M. Makarov, and F. Pérez-Rodríguez, “Nonlocal effects in the electrodynamics of metallic slabs,” Pis’ma Zh. Eksp. Teor. Fiz. 90, 687 (2009). [JETP Lett. 90, 623 (2009)].

Pardee, W. J.

R. Fuchs, K. L. Kliewer, and W. J. Pardee, “Optical properties of an ionic crystal slab,” Phys. Rev. 150, 589 (1966).
[CrossRef]

Paredes-Juárez, A.

A. Paredes-Juárez, F. Días-Monge, N. M. Makarov, and F. Pérez-Rodríguez, “Nonlocal effects in the electrodynamics of metallic slabs,” Pis’ma Zh. Eksp. Teor. Fiz. 90, 687 (2009). [JETP Lett. 90, 623 (2009)].

Pérez-Rodríguez, F.

A. Paredes-Juárez, F. Días-Monge, N. M. Makarov, and F. Pérez-Rodríguez, “Nonlocal effects in the electrodynamics of metallic slabs,” Pis’ma Zh. Eksp. Teor. Fiz. 90, 687 (2009). [JETP Lett. 90, 623 (2009)].

Pitayevsky, L. P.

E. M. Lifshitz and L. P. Pitayevsky, Physical Kinetics (Fizmatlit, Moscow, 2001; Pergamon Press, Oxford, 1981).

Sondheimer, E. H.

E. H. Sondheimer, “The mean free path of electrons in metals,” Adv. Phys. 50, 499 (2001).
[CrossRef]

Yushkanov, A. A.

A. V. Latyshev and A. A. Yushkanov, “Exact solutions of the theory of the anomalous skin effect for a layer. Reflective boundary conditions,” Zh. Vychisl. Mat. Mat. Fiz. 33, No. 2, 259 (1993).

A. V. Latyshev, A. G. Lesskis, and A. A. Yushkanov, “Exact solution concerning the behavior of an electron plasma in a metal in a variable electric field,” Teor. Mat. Fiz. 92, No. 1, 127 (1992).

A. V. Latyshev and A. A. Yushkanov, “Interaction of the electromagnetic S-wave with the thin metal film,” arXiv.org, arXiv:1010.1408.

Adv. Phys. (1)

E. H. Sondheimer, “The mean free path of electrons in metals,” Adv. Phys. 50, 499 (2001).
[CrossRef]

Phys. Rev. (4)

K. L. Kliewer and R. Fuchs, Phys. Rev. 172, 607 (1968).
[CrossRef]

R. Fuchs, K. L. Kliewer, and W. J. Pardee, “Optical properties of an ionic crystal slab,” Phys. Rev. 150, 589 (1966).
[CrossRef]

W. E. Jones, K. L. Kliewer, and R. Fuchs, “Nonlocal theory of the optical properties of thin metallic films,” Phys. Rev. 178, 1201 (1969).
[CrossRef]

K. L. Kliewer and R. Fuchs, “Optical properties of an electron gas: Further studies of a nonlocal description,” Phys. Rev. 185, 805 (1969).
[CrossRef]

Phys. Rev. B (3)

T. Brandt, M. Hövel, B. Gompf, and M. Dressel, “Temperature- and frequency-dependent optical properties of ultra-thin Au films,” Phys. Rev. B 78, 205409 (2008).
[CrossRef]

F. E. Hutchison and W. N. Hansen, “Optical properties of free-electron metal films including electron surface scattering,” Phys. Rev. B 20, 4069 (1979).
[CrossRef]

R. Dimmich, “Optical properties of metallic multilayer films,” Phys. Rev. B 45, 3784 (1992).
[CrossRef]

Pis’ma Zh. Eksp. Teor. Fiz. (1)

A. Paredes-Juárez, F. Días-Monge, N. M. Makarov, and F. Pérez-Rodríguez, “Nonlocal effects in the electrodynamics of metallic slabs,” Pis’ma Zh. Eksp. Teor. Fiz. 90, 687 (2009). [JETP Lett. 90, 623 (2009)].

Teor. Mat. Fiz. (1)

A. V. Latyshev, A. G. Lesskis, and A. A. Yushkanov, “Exact solution concerning the behavior of an electron plasma in a metal in a variable electric field,” Teor. Mat. Fiz. 92, No. 1, 127 (1992).

Zh. Vychisl. Mat. Mat. Fiz. (1)

A. V. Latyshev and A. A. Yushkanov, “Exact solutions of the theory of the anomalous skin effect for a layer. Reflective boundary conditions,” Zh. Vychisl. Mat. Mat. Fiz. 33, No. 2, 259 (1993).

Other (5)

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1992; Pergamon Press, Oxford, 1960).

V. A. Kizel’, The Reflection of Light (Nauka, Moscow, 1973).

E. M. Lifshitz and L. P. Pitayevsky, Physical Kinetics (Fizmatlit, Moscow, 2001; Pergamon Press, Oxford, 1981).

A. N. Kondratenko, Penetration of Waves into a Plasma (Atomizdat, Moscow, 1979).

A. V. Latyshev and A. A. Yushkanov, “Interaction of the electromagnetic S-wave with the thin metal film,” arXiv.org, arXiv:1010.1408.

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