Abstract

A strong maximum of absorption (as much as 100%) of bulk TM electromagnetic waves by an ultrathin film with imaginary dielectric permittivity is shown to exist at some optimal film thickness. This typical thickness is usually much smaller than the wavelength and the wave penetration depth in the material of the film. The absorptivity maximum increases and the typical thickness decreases with increasing dielectric permittivity of the layer. An optical analog of linear (liquid) friction is discussed. A frictional contact approximation for TM electromagnetic waves is analyzed, and relevant boundary conditions with an optical coefficient of friction are derived.

© 1998 Optical Society of America

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References

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  1. D. K. Gramotnev and S. N. Ermoshin, Sov. Tech. Phys. Lett. 15(21), 856 (1989); [Pis’ma Zh. Tekh. Fiz. 15(21), 62 (1989)].
  2. D. K. Gramotnev, S. N. Ermoshin, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 343 (1991); [Akust. Zh. 37, 660 (1991)].
  3. M. L. Vyukov, D. K. Gramotnev, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 229 (1991); [Akust. Zh. 37, 448 (1991)].
  4. L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, J. Phys. D 25, 226 (1991).
    [CrossRef]
  5. L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, Phys. Lett. A 164, 126 (1992).
    [CrossRef]
  6. D. K. Gramotnev and M. L. Vyukov, Int. J. Mod. Phys. B 8, 1741 (1994).
    [CrossRef]
  7. E. D. Palik, Handbook of Optical Constants of Solids II (Academic, Boston, Mass., 1991).

1994

D. K. Gramotnev and M. L. Vyukov, Int. J. Mod. Phys. B 8, 1741 (1994).
[CrossRef]

1992

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, Phys. Lett. A 164, 126 (1992).
[CrossRef]

1991

D. K. Gramotnev, S. N. Ermoshin, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 343 (1991); [Akust. Zh. 37, 660 (1991)].

M. L. Vyukov, D. K. Gramotnev, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 229 (1991); [Akust. Zh. 37, 448 (1991)].

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, J. Phys. D 25, 226 (1991).
[CrossRef]

1989

D. K. Gramotnev and S. N. Ermoshin, Sov. Tech. Phys. Lett. 15(21), 856 (1989); [Pis’ma Zh. Tekh. Fiz. 15(21), 62 (1989)].

Chernozatonskii, L. A.

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, Phys. Lett. A 164, 126 (1992).
[CrossRef]

M. L. Vyukov, D. K. Gramotnev, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 229 (1991); [Akust. Zh. 37, 448 (1991)].

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, J. Phys. D 25, 226 (1991).
[CrossRef]

D. K. Gramotnev, S. N. Ermoshin, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 343 (1991); [Akust. Zh. 37, 660 (1991)].

Ermoshin, S. N.

D. K. Gramotnev, S. N. Ermoshin, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 343 (1991); [Akust. Zh. 37, 660 (1991)].

D. K. Gramotnev and S. N. Ermoshin, Sov. Tech. Phys. Lett. 15(21), 856 (1989); [Pis’ma Zh. Tekh. Fiz. 15(21), 62 (1989)].

Gramotnev, D. K.

D. K. Gramotnev and M. L. Vyukov, Int. J. Mod. Phys. B 8, 1741 (1994).
[CrossRef]

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, Phys. Lett. A 164, 126 (1992).
[CrossRef]

M. L. Vyukov, D. K. Gramotnev, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 229 (1991); [Akust. Zh. 37, 448 (1991)].

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, J. Phys. D 25, 226 (1991).
[CrossRef]

D. K. Gramotnev, S. N. Ermoshin, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 343 (1991); [Akust. Zh. 37, 660 (1991)].

D. K. Gramotnev and S. N. Ermoshin, Sov. Tech. Phys. Lett. 15(21), 856 (1989); [Pis’ma Zh. Tekh. Fiz. 15(21), 62 (1989)].

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids II (Academic, Boston, Mass., 1991).

Vyukov, M. L.

D. K. Gramotnev and M. L. Vyukov, Int. J. Mod. Phys. B 8, 1741 (1994).
[CrossRef]

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, Phys. Lett. A 164, 126 (1992).
[CrossRef]

M. L. Vyukov, D. K. Gramotnev, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 229 (1991); [Akust. Zh. 37, 448 (1991)].

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, J. Phys. D 25, 226 (1991).
[CrossRef]

Int. J. Mod. Phys. B

D. K. Gramotnev and M. L. Vyukov, Int. J. Mod. Phys. B 8, 1741 (1994).
[CrossRef]

J. Phys. D

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, J. Phys. D 25, 226 (1991).
[CrossRef]

Phys. Lett. A

L. A. Chernozatonskii, D. K. Gramotnev, and M. L. Vyukov, Phys. Lett. A 164, 126 (1992).
[CrossRef]

Sov. Phys. Acoust.

D. K. Gramotnev, S. N. Ermoshin, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 343 (1991); [Akust. Zh. 37, 660 (1991)].

M. L. Vyukov, D. K. Gramotnev, and L. A. Chernozatonskii, Sov. Phys. Acoust. 37, 229 (1991); [Akust. Zh. 37, 448 (1991)].

Sov. Tech. Phys. Lett.

D. K. Gramotnev and S. N. Ermoshin, Sov. Tech. Phys. Lett. 15(21), 856 (1989); [Pis’ma Zh. Tekh. Fiz. 15(21), 62 (1989)].

Other

E. D. Palik, Handbook of Optical Constants of Solids II (Academic, Boston, Mass., 1991).

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Figures (2)

Fig. 1
Fig. 1

Layered structure with anomalous absorption.

Fig. 2
Fig. 2

Dependencies of the absorptivity on the angle of incidence in a structure with a CaF2 thin layer of different thicknesses: h=95 nm (solid curve), h=250 nm (dashed curve), and h=+ (dotted curve); 1=3, 2=i233, 3=1, 2π/k0=38.905 µm.

Equations (15)

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

R=C1C3-α2eω-2tanhαh+αeω-1C1-C3C1C3+α2eω-2tanhαh+αeω-1C1+C32,
T=4C1aeω-2α/coshαh2C1C3+α2eω-2tanhαh+αeω-1C1+C32,
M=1-R-T.
e1 sin2 θ1,
e11/2cC3cos θ1-1,
k0he/21/21,
RC1C3+WC1-C32/C1C3+WC1+C32,
T4C1aW2/C1C3+WC1+C32,
1-1H1/yy=0=3-1H3/yy=0, 1-1H1/yy=0=-WH1/t-H3/ty=0.
Mm2C32C32+C1a+C3×C32+C12+2C1a1/2-1,
hmeωC1C3-1C32+C12+2C1a1/2.
Mm1+C1/C3-1, hmeωC1C3-1C3+C1,
Rm1+C3/C1-2, TmC3/C11+C3/C1-2
Mm2bb2+C121/2+b-1, hmeωbC1-1b2+C121/2,
Rmb2+C121/2-bb2+C121/2+b-1, Tm=0

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