UTD Shooting-and-Bouncing Extension to a PO/PTD Ray Tracing Algorithm
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UTD Shooting-and-Bouncing Extension to a PO/PTD Ray Tracing AlgorithmAbstract
This paper deals with the efficient combination of three well-established electromagnetic modeling methods, a Shooting-and-Bouncing-Rays (SBR) algorithm on the basis of the Geometrical Optics (GO), a source-based calculation of scattered field strengths using Physical Optics (PO) and Physical Theory of Diffraction (PTD), and diffraction calculation on the basis of the Uniform Theory of Diffraction (UTD). While the conventional GO-PO/PTD methods are able to accurately calculate wedge contributions to scattered fields, the further propagation of diffracted rays is generally not considered in SBR approaches. Thus, the aim of this paper is to describe the implementation of diffracted rays according to the UTD concept into an SBR code. This novel implementation allows for the modeling of double diffraction and reflected-diffractedreflected paths in complex scenarios consisting of a very large number of surface elements as well as the accurate simulation of cavities. The comparison with numerically exact reference simulations proves that the proposed hybrid GO/UTD-PO/PTD algorithm yields excellent results and that the UTD-SBR extension definitely improves the simulations of the ray tracing algorithm also for realistic objects.
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References
F. Weinmann, “Ray tracing with PO/PTD for RCS
modeling of large complex objects,” IEEE Trans.
Antennas Propagat., vol. 54, pp. 1797-1806, June
D. J. Andersh, M. Hazlett, S. W. Lee, D. D. Reeves,
D. P. Sullivan, and Y. Chu, “XPATCH: A high
frequency electromagnetic-scattering prediction code
and environment for complex 3d objects,” IEEE
Antennas and Propagation Magazine, vol. 36, pp.
-69, Feb. 1994.
W. D. Burnside and R. J. Marhefka, “Antennas on
Aircraft, Ships, or Any Large, Complex
Environment,” Chapter 20 in Antenna Handbook
Volume III, Applications, edited by Y. T. Lo and S.
W. Lee, Van Nostrand Reinhold, New York, 1993.
E. H. Newman and R. J. Marhefka, “Overview of
MM and UTD methods at the ohio state university,”
Proc. IEEE, vol. 77, pp. 700-708, May 1989.
A. C. Polycarpou, C. A. Balanis, and C. R. Birtcher,
“Radar cross section of trihedral corner reflectors:
theory and experiment,” Electromagnetics, vol. 15,
no. 5, pp. 457-484, Sept.-Oct. 1995.
S.-H. Chen and S.-K. Jeng, “An SBR-image
approach for radio wave propagation in indoor
environments with metallic furniture,” IEEE Trans.
Antennas Propagat., vol. 45, pp. 98-106, Jan. 1997.
A. Tzoulis and T. F. Eibert, “A hybrid FEBI-
MLFMM-UTD method for numerical solutions of
electromagnetic problems including arbitrarily
shaped and electrically large objects,” IEEE Trans.
Antennas Propagat., vol. 53, pp. 3358-3366, Oct.
A. Altintas, P. H. Pathak, and M.-C. Liang, “A
selective modal scheme for the analysis of EM
coupling into or radiation from large open-ended
waveguides,” IEEE Trans. Antennas Propagat., vol.
, pp. 84-96, Jan. 1988.
P. H. Pathak and A. Altintas, “An efficient high-
frequency analysis of modal reflection and
transmission coefficients for a class of waveguide
discontinuities,” Radio Science, vol. 23, pp. 1107-
, Nov.-Dec. 1988.
T. Griesser and C. A. Balanis, “Backscatter analysis
of dihedral corner reflectors using physical optics
and the physical theory of diffraction,” IEEE Trans.
Antennas Propagat., vol. 35, pp. 1137-1147, Oct.
C. A. Balanis, Advanced Engineering
Electromagnetics, New York: John Wiley & Sons
Inc., 1989.
H. Ling, R.-C. Chou, and S.-W. Lee; “Shooting and
bouncing rays: Calculating the RCS of an arbitrarily
shaped cavity,” IEEE Trans. Antennas Propagat.,
vol. 37, pp. 194-205, Feb. 1989.
D. Didascalou, T. M. Schäfer, F. Weinmann, and W.
Wiesbeck, “Ray-Density normalization for ray-
optical wave propagation modeling in arbitrarily
shaped tunnels,” IEEE Trans. Antennas Propagat.,
vol. 48, pp. 1316-1325, Sep. 2000.
J. Baldauf, S.-W. Lee, L. Lin, S.-K. Jeng, S. M.
Scarborough, and C. L. Yu, “High frequency
scattering from trihedral corner reflectors and other
benchmark targets: SBR versus experiment,” IEEE
Trans. Antennas Propagat., vol. 39, pp. 1345-1351,
Sep. 1991.
E. F. Knott, J. F. Shaeffer, and M. T. Tuley, Radar
Cross Section – Second Edition, Norwood: Artech
House Inc., 1993.
P. H. Pathak and R. J. Burkholder, “Modal, ray, and
beam techniques for analyzing the EM scattering by
open-ended waveguide cavities,” IEEE Trans.
Antennas Propagat., vol. 37, pp. 635-647, May 1989.
H. T. Anastassiu, J. L. Volakis, D. C. Ross, and D.
Andersh, “Electromagnetic scattering from simple jet
engine models,” IEEE Trans. Antennas Propagat.,
vol. 44, pp. 420-421, Mar. 1996.
R. J. Burkholder and T. Lundin, “Forward-backward
iterative physical optics algorithm for computing the
RCS of open-ended cavities,” IEEE Trans. Antennas
Propagat., vol. 53, pp. 793-799, Feb. 2005.
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R. G. Koujoumijan and P. H. Pathak, “A Uniform
geometrical theory of diffraction for an edge in a
perfectly conducting surface,” Proc. IEEE , vol. 62,
pp. 1448-1461, Nov. 1974.
J. B. Keller, “Geometrical theory of diffraction,”
Journal of the Optical Society of America, vol. 52,
pp. 116-130, 1962.
R. Tiberio, G. Pelosi, and G. Manara, “A uniform
GTD formulation for the diffraction by a wedge with
impedance faces,” IEEE Trans. Antennas Propagat.,
vol. 33, pp. 867-873, Aug. 1985.
J. L. Volakis, “A uniform geometrical theory of
diffraction for an imperfectly conducting half-plane,”
IEEE Trans. Antennas Propagat., vol. 34, pp. 1172-
, Feb. 1986.
N. N. Youssef, “Radar cross section of complex
targets,” Proceedings of the IEEE, vol. 77, no. 5, pp.
-734, May 1989.