1998 IEEE.
Personal use of this material is
permitted. However, permission to reprint/republish this
material for advertising or promotional purposes or for
creating new collective works for resale or redistribution
to servers or lists, or to reuse any copyrighted component
of this work in other works must be obtained from the
IEEE.
IEEE Transactions on Antennas and Propagation
Volume 46 Number 10, October 1998
Table of Contents for this issue
Complete paper in PDF format
Plane Wave Scattering and Absorption by Resistive-Strip and Dielectric-Strip Periodic Gratings
Tatiana L. Zinenko, Alexander I. Nosich, Senior Member, IEEE, and Yoichi Okuno, Senior Member, IEEE
Page 1498.
Abstract:
The problems of plane wave scattering by resistive and
dielectric strip gratings are considered. The formulation involves a set
of resistive-type boundary conditions that characterizes nonzero jumps
in tangential field components. The method of solution is based on
analytical inversion of the static part of the full-wave equations and
results in a rapidly convergent numerical algorithm. The dependences of
the transmitted, reflected, and absorbed power fractions on the
electrical and material parameters are presented.
References
-
H. Lamb, "On the reflection and transmission of electric
waves by metallic grating," Proc. London Math.
Soc. vol. 29, no. 1, pp. 523-545, 1898.
-
Z. S. Agranovich, V. A. Marenko, and V. P. Shestopalov,
"Diffraction of a plane electromagnetic wave from plane metallic
lattices," Soviet Phys. Tech.
Phys., vol. 7, pp. 277-286, 1962 (Engl.
transl.).
-
T. Uchida, T. Noda, and T. Matsunaga, "Spectral domain
analysis of electromagnetic wave scattering by an infinite plane
metallic grating," IEEE Trans. Antennas
Propagat., vol. AP-35, pp. 46-52, Jan.
1987.
-
A. Matsushima and T. Itakura, "Singular integral equation
approach to plane wave diffraction by an infinite strip grating at
oblique incidence," J. Electromagn. Waves
Applicat., vol. 4, no. 6, pp. 505-519,
1990.
-
G. Bouchitte` and R. Petit, "On the concept of a
perfectly conducting material and a perfectly conducting and infinitely
thin screen," Radio Sci., vol.
24, no. 1, pp. 13-26, 1989.
-
A. D. Rawlins, "Diffraction by acoustically penetrable or
electromagnetically dielectric half plane," Int.
J. Eng. Sci., vol. 15, pp. 569-598, 1977.
-
E. Bleszynski, M. Bleszynski, and T. Jaroszewicz,
"Surface-integral equations for electromagnetic scattering from
impenetrable and penetrable sheets," IEEE
Antennas Propagat. Mag., vol. 36, no. 6, pp.
14-25, Dec. 1993.
-
T. B. A. Senior and J. Volakis, Approximate
Boundary Conditions in
Electromagnetics.London, U.K.: IEE Press,
1995.
-
I. V. Vovk, "Diffraction of sound on a grating of strips
having finite transparency," Soviet Phys.
Acoust., vol. 25, no. 2, pp. 378-381, 1980
(Engl. transl.).
-
R. C. Hall and R. Mittra, "Scattering from a periodic array
of resistive strips," IEEE Trans. Antennas
Propagat., vol. AP-33, pp. 1009-1011, Sept.
1985.
-
--, "Analysis of multilayered periodic structures
using generalized scattering matrix theory," IEEE
Trans. Antennas Propagat., vol. 36, pp. 511-517,
Apr. 1988.
-
R. Petit and G. Tayeb, "Theoretical and numerical study of
gratings consisting of periodic arrays of thin and lossy strips,"
J. Opt. Soc. Amer., vol. 7, pt. A,
no. 9, pp. 1686-1692, 1990.
-
J. L. Volakis, Y. C. Lin, and H. Anastassiu, "TE
characterization of resistive strip gratings on a dielectric slab using
a single edge-mode expansion," IEEE Trans.
Antennas Propagat., vol. 42, pp. 205-213, Feb.
1994.
-
A. I. Nosich, Y. Okuno, and T. Shiraishi, "Scattering and
absorption of E- and
H-polarized plane waves by a
circularly curved resistive strip," Radio
Sci., vol. 31, no. 6, pp. 1733-1742, 1996.
-
A. N. Nosich, V. B. Yurchenko, and A. Altintas, "Numerically
exact analysis of a two-dimensional variable-resistivity reflector fed
by a complex-point source," IEEE Antennas
Propagat., vol. 45, pp. 1592-1601, Nov.
1997.
-
R. W. Ziolkowski,
"N-series problems and
the coupling of the electromagnetic waves to apertures:
Riemann-Hilbert approach," SIAM J. Appl.
Math., vol. 16, pp. 358-378, 1985.
-
A. I. Nosich, "Green's function--Dual series approach in
wave scattering from combined resonant scatterers," in
Analytical and Numerical Methods in Electromagnetic
Wave Theory, M. Hashimoto, M. Idemen, and O. A.
Tretyakov, Eds.Tokyo, Japan: Science House, 1993, ch. 9, pp.
419-469.
-
R. Orta, P. Savi, and R. Tascone, "The effect of finite
conductivity on frequency selective surface behavior,"
Electromagn., vol. 10, no. 2, pp.
213-227, 1990.
-
A. D. Rawlins, E. Meister, and F.-O. Speck, "Diffraction by
an acoustically transmissive or an electromagnetically dielectric
half-plane," Math. Methods Appl.
Sci., vol. 14, no. 2, pp. 387-402, 1991.
-
N. A. Khizhnyak, N. V. Ryazantseva, and V. V. Yachin, "The
scattering of electromagnetic waves by a periodic magneto-dielectric
layer," J. Electromagn. Waves
Applicat., vol. 10, no. 5, pp. 731-739,
1996.
-
A. Matsushima, T. L. Zinenko, H. Minami, and Y. Okuno, "The
integral equation analysis of plane wave scattering from multilayered
resistive strip gratings," J. Electromagn. Waves
Applicat., vol. 12, pp. 1449-1469, 1998.