Analysis of Transient Electromagnetic Scattering from an Overfilled Cavity Embedded in an Impedance Ground Plane
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Analysis of Transient Electromagnetic Scattering from an Overfilled Cavity Embedded in an Impedance Ground PlaneAbstract
In this paper, we consider the timedomain scattering problem of a two-dimensional overfilled cavity embedded in an impedance ground plane. An artificial boundary condition is introduced on a semicircle enclosing the cavity that couples the fields from the infinite exterior domain to those fields inside. The problem is first discretized in time using the Newmark scheme, and at each time step, we derive the variational formulation for the TM polarization, and establish well-posedness. Numerical implementation of the method for both the planar and overfilled cavity models is also presented.
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J. M. Jin, S. Ni, and S. W. Lee, “Hybridization of
SBR and FEM forScattering by Large Bodies
with Cracks and Cavities,” IEEE Trans. Antennas
Propag., vol. 43, no. 10, pp. 1130-1139, 1995.
L. C. Kempel and J. L. Volakis, “Scattering by
Cavity-Backed Antennas on a Circular Cylinder,”
IEEE Trans. Antennas Propag., vol. 42, no. 10,
pp. 1268-1279, 1994.
J. Liu and J. M. Jin, “ASpecial Higher Order
Finite-Element Method for Scattering by Deep
Cavities,” IEEE Trans. Antennas Propag., vol. 48,
no. 5, pp. 694-703, 2000.
W. D. Wood and A. W. Wood, “Development and
Numerical Solution of Integral Equations for
Electromagnetic Scattering from aTrough in a
Ground Plane,” IEEE Trans. Antennas Propag.,
vol. 47, no. 8, pp. 1318-1322, 1999.
C. J. Reddy, M. D. Deshpande, B. R. Cockrell,
and F. B. Beck, “FastFrequency Response
Calculations of Cavity-Backed Aperture Antennas
using Hybrid FEM/MoM Technique in
Conjunction with Model Based Parameter
Estimation,” Applied Computational
Electromagnetic Society (ACES) Journal, vol. 13,
no. 3, pp. 283-290, 1998.
D. Caratelli and A. Yarovoy, “Design andFull-
Wave Analysis of Cavity-Backed Resistively
Loaded Circular-End Bow-Tie Antennas for GPR
Applications – Part I,” Applied Computational
Electromagnetic Society (ACES) Journal, vol. 25,
no. 10, pp. 809-817, 2010.
H. Ammari, G. Bao, and A. Wood, “ACavity
Problem for Maxwell’sEquations,” Meth. Math.
Appl., vol. 9, no. 2, pp. 249-260, 2002.
T. Van and A. Wood, “Analysis ofTime-Domain
Maxwell’s Equations for 3-D Cavities,” Adv.
Comput. Math., vol. 16, nos. 2-3, pp. 211-228,
T. Van and A. Wood, “ATime-Marching Finite
Element Method for anElectromagnetic
Scattering Problem,” Math. Meth. Appl. Sci., vol.
, no. 12, pp. 1025-1045, 2003.
T. Van and A. Wood, “ATime-Domain Finite
Element Method for Maxwell’s Equations,” SIAM
J. Numer. Anal., vol. 42, no. 4, pp. 1592-1609,
M. Durán, I. Muga, and J.-C. Nédélec, “The
Helmholtz Equation in a Locally Perturbed Half-
Plane with Passive Boundary,” IMA J. Appl.
Math., vol. 71, no. 6, pp. 853-876, 2006.
100 110 120 130 140 150 160 170
-10
-5
Observation angle (degrees)
RCS (dBm)
TM-RCS at 289.5 MHz
PEC Plane / PEC Cavity Walls
PEC Plane / IBC Cavity Walls
IBC Plane / IBC Cavity Walls
100 110 120 130 140 150 160 170
-10
Observation angle (degrees)
RCS (dBm)
TM-RCS at 480.45 MHz
PEC Plane / PEC Cavity Walls
PEC Plane / IBC Cavity Walls
IBC Plane / IBC Cavity Walls
CALLIHAN, WOOD: TRANSIENT EM SCATTERING FROM AN OVERFILLED CAVITY EMBEDDED IN AN IMPEDANCE GROUND PLANE
A. W. Wood, “Analysis ofElectromagnetic
Scattering from anOverfilled Cavity in the
Ground Plane,” J. Comput. Phys., vol. 215, no. 2,
pp. 630-641, 2006.
T. Van and A. W. Wood, “Analysis ofTransient
Electromagnetic Scattering from Overfilled
Cavities," SIAM J. Appl. Math., vol. 64, no. 2, pp.
-708, 2004.
J. Huang, A.W. Wood, and M.J. Havrilla, “A
Hybrid Finite Element-Laplace Transform Method
for the Analysis of Transient Electromagnetic
Scattering by an Over-Filled Cavity in the Ground
Plane,” Commun. Comput. Phys., vol. 5, no. 1, pp.
-141, 2009.
M. Durán, I. Muga, and J.-C. Nédélec, “The
Helmholtz Equation in a Locally Perturbed Half-
Space with Non-Absorbing Boundary,” Arch.
Ration. Mech. An., vol. 191, no. 1,pp. 143-172,
R. O. Hein-Hoernig, Green's Functions and
Integral Equations for the Laplace and Helmholtz
Operators in Impedance Half-Spaces, Ph.D.
Thesis, École Polytechnique, 2010.
C. G. Politis, M. V. Papalexandris, and G. A.
Athanassoulis, “A Boundary Integral Equation
Method for Oblique Water-Wave Scattering by
Cylinders Governed by theModified Helmholtz
Equation,” Appl. Ocean Res., vol. 24, no. 4,pp.
-233, 2002.
G. C. Hsiao, O. Steinbach, and W. L. Wendland,
“Domain Decomposition Methods via Boundary
Integral Equations,” J. Comput. Appl. Math., vol.
, no. 1, pp. 521-537, 2000.
O. Steinbach and W.L. Wendland, “On C.
Neumann's Method for Second-Order Elliptic
Systems in Domains with Non-Smooth
Boundaries,” J. Math. Anal. Appl., vol. 262, no. 2,
pp. 733-748, 2001.
F. Cakoni and D. Colton, Qualitative Methods in
Inverse Scattering Theory, Springer-Verlag,
Berlin, Germany, 2006.
