A Green’s Function Approach to Calculate Scattering Width for Cylindrical Cloaks
Keywords:
A Green’s Function Approach to Calculate Scattering Width for Cylindrical CloaksAbstract
The anisotropic material properties of cylindrical cloaks can be simulated using thin, concentric layers of homogeneous, isotropic material. A Green's function for a line current in the presence of a layered PEC cylinder can be used to calculate the scattering width from a cloaked PEC cylinder with a significant improvement in computational efficiency compared to solutions obtained using the finite element method.
Downloads
References
J. B. Pendry, D. Schurig, and D. R. Smith,
“Controlling electromagnetic fields,” Science,
vol. 312, no. 578, pp. 1780–1782, 2006.
D. Schurig, J. B. Pendry, and D. R. Smith,
“Calculation of material properties and ray
tracing in transformation media,” Opt. Ex-
press, vol. 14, no. 21, pp. 9794–9804, 2006.
U. Leonhardt and T.G. Philbin, “General rela-
tivity in electrical engineering,” New J. Phys.,
vol. 8, no. 10, 2006.
H. Chen, B.-I. Wu, B. Zhang, and J. A. Kong,
“Electromagnetic wave interactions with a me-
tamaterial cloak,” Phys. Rev. Lett., vol. 99, no.
, 2007.
Z. Ruan, M. Yan, C. W. Neff, and M. Qiu,
“Ideal cylindrical cloak: Perfect but sensitive
to tiny perturbations,” Phys. Rev. Lett., vol.
, no. 11, 2007.
A. J. Ward and J. B. Pendry, “Refraction and
geometry in Maxwell’s equations,” J. Mod.
Opt., vol. 43, no. 4, pp. 773–793, 1996.
D. Schurig, J. J. Mock, B. J. Justice, S. A.
Cummer, J. B. Pendry, A. F. Starr, and D. R.
Smith, “Metamaterial Electromagnetic Cloak
at Microwave Frequencies,” Science, vol. 314,
no. 5801, pp. 977–980, 2006.
W. Cai, U. K. Chettiar, A. V. Kildishev, V. M.
Shalaev, and G.W. Milton, “Nonmagnetic
cloak with minimized scattering,” Appl. Phys.
Lett., vol. 91, no. 11, 2007.
M. Yan, Z. Ruan, and M. Qiu, “Scattering
characteristics of simplified cylindrical invi-
sibility cloaks,” Opt. Express, vol. 15, no. 26,
pp. 17772–17782, 2007.
P. J. Collins and J. S. McGuirk, “A novel
methodology for deriving improved material
parameter sets for simplified cylindrical
cloaks,” J. Opt. A: Pure Appl. Opt. , vol. 11,
no. 1, 2009.
S. A. Cummer, B. -I. Popa, D. Schurig, D.R.
Smith, and J. Pendry, “Full-wave simulations
of electromagnetic cloaking structures,”
Phys. Rev. E: Stat. Phys., Plasmas, Fluids ,
vol. 74, no. 3, 2006.
H. Ma, S. Qu, Z. Xu, J. Zhang, B. Chen, and
J. Wang, “Material parameter equation for el-
ACES JOURNAL, VOL. 25, NO. 2, FEBRUARY 2010
liptical cylindrical cloaks,” Phys. Rev. A: At.
Mol. Opt. Phys., vol. 77, no. 1, 2008.
D.-H. Kwon and D. H. Werner, “Two-
dimensional eccentric elliptic electromagnetic
cloaks,” Appl. Phys. Lett. , vol. 92, no. 1,
M. Rahm, D. Schurig, D. A. Roberts, S. A.
Cummer, D. R. Smith, and J. B. Pendry, “De-
sign of electromagnetic cloaks and concentra-
tors using form invariant coordinate trans-
formations of Maxwell’s equations,” Photon.
Nanostruct.: Fundam. Appl., vol. 6, no. 87,
W. X. Jiang, T. J. Cui, G. X. Yu, X. Q. Lin,
Q. Cheng, and J. Y. Chin, “Arbitrarily ellip-
tical-cylindrical invisible cloaking,” J. Phys.
D: Appl. Phys., vol. 41, 2008.
W. X. Jiang, J. Y. Chin, Z. Li, Q. Cheng, R.
Liu, and T. J. Cui, “Analytical design of con-
formally invisible cloaks for arbitrarily
shaped objects,” Phys. Rev. E: Stat. Phys.,
Plasmas, Fluids, vol. 77, no. 6, 2008.
Y. Zhao, C. Argyropoulos, and Y. Hao,
“Full-wave finite-difference time domain si-
mulation of electromagnetic cloaking struc-
tures,” Opt. Express, vol. 16, no. 9, pp. 6717–
, 2008.
R. Weder, “A rigorous analysis of high-order
electromagnetic invisibility cloaks,” J. Phys.
A: Math. Theor., vol. 41, 2008.
Z. Liang, P. Yao, X. Sun, and X. Jiang, “The
physical picture and the essential elements of
the dynamical process for dispersive cloaking
structures. Appl. Phys. Lett, vol. 92, no. 13,
Y. Huang, Y. Feng, and T. Jiang, “Electro-
magnetic cloaking by layered structure of
homogeneous isotropic materials,” Opt. Ex-
press, vol. 15, no. 18, pp. 11133–11141,
C. A. Balanis, Advanced Engineering Elec-
tromagnetics. John Wiley & Sons, Inc, Ho-
boken, New Jersey, 1989.
B. Wood, J. B. Pendry, and D. P. Tsai, “Di-
rected subwavelength imaging using a
layered metal-dielectric system,” Phys. Rev.
B: Condens. Matter, vol. 74, no. 11, 2006.
S. Arslanagic and O. Breinbjerg, “Electric-
line-source illumination of a circular cylinder
of lossless double-negative material: An in-
vestigation of near field, directivity, and radi-
ation resistance,” IEEE Antennas Propag.
Mag., vol. 48, no. 3, pp. 38–54, 2006.
H. Yao, L. Li, and C. Qiu, “Electromagnetic
scattering properties in a multilayered meta-
material cylinder,” IEEE Mediterranean
Electrotechnical Conference, May 2006.
R. E. Collin, Field Theory of Guided Waves.
John Wiley & Sons, Inc, New York, New
York, second edition, 1991.
M. Abramowitz and I. A. Stegun, editors,
Handbook of Mathematical Functions with
Formulas, Graphs, and Mathematical Tables.
Dover Publications, Inc., New York, New
York, 1970.
