Fast Calculation of 3D Conductive Target Backscatter in a Random Medium using Coherence Based Monte Carlo Integration (CBMI) Method
关键词:
Current generator method, electric field integral equation, monostatic backscatter, Monte Carlo integration, radar cross section, random media摘要
In this paper, a fast m ethod t o perform backscattering ca lculations from perfect electrically conducting (PEC) objects embedded in continuous random media is presented. The current generator method (CGM) is revisited and is modified for speed, removing the need to perform matrix inverse operations. The presented formulations are adequate to solve two and three dimensional problems. A Monte Carlo technique will be employed to speed the high ordered integration by using the de-correlation in space found within the fourth moment of Green's function as an ‘importance sampling' distribution. This incoherence is explicitly shown in the current generator formulation. The revisited formulation has improved functionality in its ability to consider three dimensional objects. Its algorithmic performance is analyzed and is found to be significantly faster than other candidate matrix based methods.
##plugins.generic.usageStats.downloads##
参考
T. Otto and H. Russchenberg, “Estimation of specific differential phase and differential backscatter phase from polarimetric weather radar measurements of rain,” IEEE Geosci. Remote Sens. Letters, vol. 8, no. 5, pp. 988-992, 2011.
J. Leinonen, D. Moisseev, V. Chandrasekar, and J. Koskinen, “Mapping radar reflectivity values of snowfall between frequency bands,” IEEE Trans. Geosci. Remote Sens., vol. 49, no. 8, pp. 3047- 3058, 2011.
S. Chang, C. Fleuraru, Y. Mao, and S. Sherif, “Attenuation compensation for optical coherence tomography imaging,” Optics Commun., vol. 282, pp. 4530-4507, 2009.
H. El-Ocla and M. Tateiba, “Strong backscattering enhancement for partially convex targets in random media,” Waves Rand. Media, vol. 11, pp. 21-32, 2001.
H. El-Ocla, “Effect of the illumination region of targets on waves scattering in random media with H-polarization,” Waves Rand. Complex Media, vol. 19, no. 4, pp. 637-653, 2009.
H. El-Ocla, “Target configuration effect on wave scattering in random media with horizontal polarization,” Waves Rand. Complex Media, vol. 19, no. 2, pp. 305-320, 2009.
Z.-W. Xu, J. Wu, Z.-S. Wu, and L.-W. Li, “Analytical solution to the n-nth moment equation of wave propagation in continuous random media,” IEEE Trans. Antennas and Prop., vol. 55, no. 5, pp. 1407-1415, 2007.
M. Tateiba and Z. Meng, “Wave scattering from conducting bodies embedded in random media- theory and numerical results,” Prog. Electromag. Research, vol. 14, pp. 317-361, 1996.
A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering, pp. 112-114, 1991.
Q. Wang, O. Ronneberger, and H. Burkhardt, “Fourier analysis in polar and spherical coordiantes,” Published Internal Report http://lmb.informatik.unifreiburg.de/papers, 2008.
A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering, pp. 149-153, 1991.
R. Frehlich and M. Kavaya, “Coherent laser radar performance for general atmospheric refractive turbulence,” Applied Optics, vol. 30, no. 36, pp. 5325-5352, 1991.
E. Lindborg, “Can the atmospheric kinetic energy spectrum be explained by two-dimensional turbulence?,” J. Fluid Mech., vol. 388, pp. 259- 288, 1999.
A. Ishimaru, Wave Propagation and Scattering in Random Media, pp. 512, 1997.
L. Zhanhe, H. Peilin, G. Xu, L. Ying, and J. Jinzu, “Multi-frequency RCS reduction characteristics of shape stealth with MLFMA with improved MMN,” Chinese J. Aeronautics, vol. 23, pp. 327- 333, 2010.
R. Burkholder and J.-F. Lee, “Fast dual-MGS block-factorization algorithm for dense MoM matrices,” IEEE Trans. Antennas Prop., vol. 52, no. 7, pp. 1693-1699, 2004.
P. De Vita, F. De Vita, A. Freni, P. Pirinoli, F. Vipiana, and G. Vecchi, “Performances of MR- preconditioned fast MoM techniques,” Microwave Opt. Tech. Letters, vol. 52, no. 8, pp. 1719-1724, 2010.
K. Zhao, M. Vouvakis, and J.-F. Lee, “The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems,” IEEE Trans. EMC, vol. 47, no. 4, pp. 763-773, 2005.