Physical Optics Analysis for RCS Computation of a Relatively Small Complex Structure
Keywords:
Complex structure, Integral Equation (IE), Method of Moments (MoM), Physical Optics (PO) and Radar Cross Section (RCS)Abstract
High-frequency methods are well known as a convenient approach for treating Electromagnetic (EM) problems regarding electrically large structures. In this paper however, this method is proposed as a proper tool for computing the mono-static Radar Cross Section (RCS) of a relatively small complex structure. This claim has been verified via simulation through a frequency range of 100 MHz to 10 GHz and measurement for the structure of this work. In this regard, initially, RCS computation via the Method of Moments (MoM) has been executed. As this method leads to rigorous and time consuming computations, Physical Optics (PO) has been utilized for the same purpose. These computations have been carried out by employing the Integral Equation (IE) and asymptotic solver of CST Microwave Studio (MWS). PO proves to be timeefficient compared to MoM. Graphs comparing PO and MoM-computed RCS are illustrated. In addition, the similarity of the results obtained by PO and MoM has been thoroughly discussed. Correlation between these results has been observed. Also, mean and standard deviation values for PO RCS-error have been provided for the entire simulation frequency. As dimension to wavelength ratio (D/?) of the structure increases, the convergence of these two methods for RCS computation becomes satisfactory. Finally, measurement has been accomplished at frequency of 8.5 GHz to validate PO computations. Index Terms ? Complex structure, Integral Equation (IE), Method of Moments (MoM), Physical Optics (PO) and Radar Cross Section (RCS).
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R. Firoozabadi, E. L. Miller, C. M. Rappaport, and A. W. Morgenthaler, “Subsurface sensing of buried objects under a randomly rough surface using scattered electromagnetic field data,” IEEE Trans. Geosci. Remote Sens., vol. 45, no. 1, pp. 104-117, January 2007.
G. Wang, Y. Zhang, and M. Amin, “New approach for target locations in the presence of wall ambiguities,” IEEE Trans. Aerosp. Electron. Syst., vol. 42, no. 1, pp. 301-315, January 2006.
Y. S. Yoon and M. G. Amin, “High-resolution through-the-wall radar imaging using beamspace MUSIC,” IEEE Trans. Antennas Propag., vol. 56, no. 6, pp. 1763-1774, June 2008.
P. C. Chang, R. J. Burkholder, J. L. Volakis, R. J. Marhefka, and Y. Bayram, “High-frequency EM characterization of through-wall building imaging,” IEEE Trans. Geosci. Remote Sens., vol. 47, no. 5, pp. 1375-1387, May 2009.
T. K. Chan, Y. Kuga, and A. Ishimaru, “Experimental studies on circular SAR imaging in clutter using angular correlation function technique,” IEEE Trans. Geosci. Remote Sens., vol. 37, no. 5, pp. 2192-2197, September 1999.
S. Kidera, T. Sakamoto, and T. Sato, “Highresolution and real-time UWB radar imaging algorithm with direct waveform compensations,” IEEE Trans. Geosci. Remote Sens., vol. 46, no. 11, pp. 3503-3513, November 2008.
L. Du, Y. Wang, W. Hong, W. Tan, and Y. Wu, “A three-dimensional range migration algorithm for downward-looking 3D-SAR with single transmitting and multiple-receiving linear array antennas,” EURASIP J. Adv. Signal Process., vol. 2010, article ID 957916, pp. 15, 2010.
B. R. Mahafza and M. Sajjadi, “Three-dimensional SAR imaging using linear array in transverse motion,” IEEE Trans. Aerosp. Electron. Syst., vol. 32, no. 1, pp. 499-510, January 1996.
S. Jun, X. L. Zhang, J. Y. Yang, and W. Chen, “APC trajectory design for one-active linear-array threedimensional imaging SAR,” IEEE Trans. Geosci. Remote Sens., vol. 48, no. 3, pp. 1470-1486, March 2010.
W. Matthias and G. Markus, “Initial ARTINO radar experiments,” presented at the 8th European Conference on Synthetic Aperture Radar, Aachen, Germany, June 2010.
J. M. Lopez- Sahcnez and J. Fortuny-Guash, “3D radar imaging using range migration techniques,” IEEE Trans. Antennas Propag., vol. 48, no. 5, pp. 728-737, May 2000.
J. Fortuny-Guash and J. M. Lopez-Sahcnez, “Extension of the 3-D range migration algorithm to cylindrical and spherical scanning geometries,” IEEE Trans. Antennas Propag., vol. 49, no. 10, pp. 1434-1444, October 2001.
X. J. Xu and R. M. Narayanan, “Three-dimensional interferometric ISAR imaging for target scattering diagnosis and modeling,” IEEE Trans. Image Process., vol. 10, no. 7, pp. 1094-1102, July 2001.
Budillon, A. Evangelista, and G. Schirinzi, “Threedimensional SAR focusing from multipass signals using compressive sampling,” IEEE Trans. Geosci. Remote Sens., vol. 49, no. 1, pp. 488-499, January 2011.
W. Qi, M. Xing, G. Lu, and Z. Bao, “Highresolution three-dimensional radar imaging for rapidly spinning targets,” IEEE Trans. Geosci. Remote Sens., vol. 46, no. 1, pp. 22-30, January 2008.
G. Fornaro, D. Reale, and F. Serafino, “Fourdimensional SAR imaging for height estimation and monitoring of single and double scatterers,” IEEE Trans. Geosci. Remote Sens., vol. 47, no. 1, pp. 224- 237, January 2009.
S. Kidera, T. Sakamoto, and T. Sato, “Highresolution 3-D imaging algorithm with an envelope of modified spheres for UWB through-the-wall radars,” IEEE Trans. Antennas Propag., vol. 57, no. 11, pp. 3520-3529, November 2009.
Y. Zhang, D. Huang, and J. Chen, “Combination of asymptotic phase basis functions and matrix interpolation method for fast analysis of monostatic RCS,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 28, no. 1, pp. 49-56, January 2013.
Z. Liu, R. Chen, J. Chen, and Z. Fan, “Using adaptive cross approximation for efficient calculation of monostatic scattering with multiple incident angles,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 26, no. 4, pp. 325-333, April 2011.
A. R. Mallahzadeh, J. Rashed-Mohassel, and M. Soleimani, “RCS computation of targets using three dimensional scalar parabolic equation,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 22, no. 2, pp. 254-259, July 2007.
G. A. Deschamps, “Ray techniques in electromagnetics,” Proc. IEEE, vol. 60, no. 9, pp. 1022-1035, September 1972.
J. B. Keller, “Geometrical theory of diffraction,” J. Opt. Soc. Amer., vol. 52, pp. 116-119, February 1962.
P. Y. Ufimtsev, “Method of edge waves in the physical theory of diffraction,” (in Russian) Transl.:Metod krayevykh volnv fizicheskoy teorii difraktsiiIzd-Vo Sov, Radio, pp. 1-243, 1962.
R. Solimene, A. Buonanno, F. Soldovieri, and R. Pierri, “Physical optics imaging of 3-D PEC objects: vector and multipolarized approaches,” IEEE Trans. Geosci. Remote Sens., vol. 48, no. 4, pp. 1799-1808, April 2010.
S. L. H. Ling and R. Chou, “Shooting and bouncing rays: calculating the RCS of an arbitrarily shaped cavity,” IEEE Trans. Antennas Propagat., vol. 37, pp. 194-205, February 1989.
H. Biglary and M. Dehmollaian, “Scattering of an object above a rough surface with impedance boundaries using IPO and FMM,” presented at IEEE Antennas and Propagation Society International Symposium, Chicago, IL, July 8-14, 2012.
H. Biglary and M. Dehmollaian, “RCS of a target above a random rough surface with impedance boundaries using GO and PO methods,” presented at IEEE Antennas and Propagation Society International Symposium, Chicago, IL, July 8-14, 2012.
A. Ishimaru, “Electromagnetic wave propagation, radiation and scattering,” 1st ed., Englewood Cliffs, NJ: Prentice-Hall, 1991.
N. T. Nguyen, A. Rolland, and R. Sauleau, “Range of validity and accuracy of the hybrid GO-PO method for the analysis of reduced-size lens antennas: benchmarking with BoR-FDTD,” presented at Asia-Pacific Microwave Conference, Macau, December 16-20, 2008.
T. F. Eibert, “Modeling and design of offset parabolic reflector antennas using physical optics and multilevel fast multipole method accelerated method of moments,” presented at IEEE Multitopic Conference, Islamabad, December 23-24, 2006.
J. Perez and M. F. Catedra, “Application of physical optics to the RCS computation of bodies modeled with NURBS surfaces,” IEEE Trans. Antennas Propagat., vol. 42, pp. 1404-1411, October 1994.
www.cst.com
R. Bhalla and Hao Ling “A fast algorithm for signature prediction and image formation using the shooting and bouncing ray technique,” IEEE Trans. Antennas Propagat., vol. 43, pp. 727-731, July 1995.
I. Y. Kelly, G. Benavides, R. Bhalla, H. Ling, W. J. Vogel, and H. D. Foltz, “Urban channel propagation modeling using the shooting and bouncing ray technique,” presented at IEEE Antennas and Propagation Society International Symposium, Montreal, Quebec, Canada, July 13-18, 1997.


