Based on the equivalence principle and the reciprocity theorem, the multiple scattering up to $N$th-order by adjacent multi-particles is considered in this study. It is well known that the first-order solution can easily be obtained by calculating the scattered field from isolated targets when illuminated by a plane wave/Gaussian beam. However, due to the difficulty in formulating the couple scattered field, it is very difficult to find an analytical solution for the higher-order of the scattered field with considering the multiple scattering even for multi-canonical geometries, such as spheres, spheroids, and cubes. In order to overcome this problem, in this present work, the higher-order solutions of electromagnetic scattering for multi-particles are derived by employing the technique based on the reciprocity theorem and the equivalence principle. In specific, using the formulas of the composite scattering field obtained in this work, the bi-static scattering of plane wave/Gaussian beam by adjacent multi-spheres is calculated and the results are compared with those obtained from the numerical computations by the Time Domain Integral Equation Method (TDIEM).
2. Chen, X. J. and X. W. Shi, "Backscattering of electrically large perfect conducting targets modeled by Nurbs surfaces in half-space ," Progress In Electromagnetics Research, Vol. 77, 215-224, 2007.
doi:10.2528/PIER07081602
3. Wu, J. and T. J. Cui, "Reconstruction of 2D PEC targets using limited scattered information," Progress In Electromagnetics Research, Vol. 74, 291-307, 2007.
doi:10.2528/PIER07042603
4. El-Ocla, H., "On laser radar cross section of targets with large sizes for E-polarization," Progress In Electromagnetics Research, Vol. 56, 323-333, 2006.
doi:10.2528/PIER05052701
5. Li, J., L. X. Guo, and H. Zeng, "FDTD investigation on bistatic scattering from a target above two-layered rough surfaces using UPML absorbing condition," Progress In Electromagnetics Research, Vol. 88, 197-211, 2008.
doi:10.2528/PIER08110102
6. Li, J., L. X. Guo, and H. Zeng, "FDTD investigation on the electromagnetic scattering from a target above a randomly rough sea surface," Waves in Random and Complex Media, Vol. 18, No. 4, 641-650, 2008.
doi:10.1080/17455030802302134
7. Li, Y. L., J. Y. Huang, and M. J. Wang, "Investigation of electromagnetic complex scattering for conductor target based on electromagnetic images method," Progress In Electromagnetics Research, Vol. 81, 343-357, 2008.
doi:10.2528/PIER08012402
8. Wu, F., K. F. Ren, and X. Cai, "Extension of geometrical-optics approximation to on-axis Gaussian beam scattering by a spherical particle," Applied Optics, Vol. 45, No. 20, 4990-4999, 2006.
doi:10.1364/AO.45.004990
9. Barton, J. P., "Electromagnetic-field calculations for sphere illuminated by a higher-order Gaussian beam," Applied Optics, Vol. 37, No. 15, 3339-3344, 1998.
doi:10.1364/AO.37.003339
10. Wu, Z. S. and L. X. Guo, "Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres," Applied Optics, Vol. 36, No. 21, 5188-5198, 1997.
doi:10.1364/AO.36.005188
11. Wu, Z. S. and L. X. Guo, "Electromagnetic scattering from a multilayered cylinder arbitrary located in a Gaussian beam, a new recursive algorithms," Progress In Electromagnetics Research, Vol. 18, 317-333, 1998.
doi:10.2528/PIER97071100
12. Gouesbet, G., G. Grehan, and B. Maheu, "Localized interpretation to compute all the coefficients gmn in the generalized Lorenz-Mie theory," J. Opt. Soc. Am. A, Vol. 7, No. 6, 998-1007, 1990.
doi:10.1364/JOSAA.7.000998
13. Doicu, A. and T. Wriedt, "Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions," Applied Optics, Vol. 36, No. 13, 2971-2978, 1997.
doi:10.1364/AO.36.002971
14. Wang, N., "Electromagnetic scattering from a dielectric-coated circular cylinder," IEEE Trans. Antennas Propag., Vol. 33, No. 9, 960-963, 1985.
doi:10.1109/TAP.1985.1143696
15. Khaled, E. M., S. C. Hill, and P. W. Barber, "Scattered and internal intensity of a sphere illuminated with a Gaussian beam," IEEE Trans. Antennas Propag., Vol. 41, No. 3, 295-303, 1993.
doi:10.1109/8.233134
16. Yokota, M., T. Takenaka, and O. Fukumitsu, "Scattering of Hermite-Gaussian beam mode by parallel dielectric circular cylinders," J. Opt. Soc. Am. A, Vol. 3, No. 4, 580-586, 1986.
doi:10.1364/JOSAA.3.000580
17. Wu, Z. S. and Y. P. Wang, "Electromagnetic scattering for a multi-layered sphere: Recursive algorithms," Radio Science, Vol. 26, No. 6, 1393-1401, 1991.
doi:10.1029/91RS01192
18. Sarabandi, K. and P. F. Polatin, "Electromagnetic scattering from two adjacent objects," IEEE Trans. Antennas Propag., Vol. 42, No. 4, 510-517, 1994.
doi:10.1109/8.286219
19. Li, S. Q., J. Fang, and W. B. Wang, "Electromagnetic scattering from two adjacent cylinders," IEEE Trans. Geosci. Remote Sensing, Vol. 36, No. 6, 1981-1985, 1998.
doi:10.1109/36.729372
20. Wang, R. and L. X. Guo, "Study on EM scattering from the Study on EM scattering from the above it," J. Opt. Soc. Am. A, Vol. 26, No. 3, 517-529, 2009.
doi:10.1364/JOSAA.26.000517
21. Chiu, T. C., Electromagnetic Scattering from Rough Surface Covered with Short Branching Vegetation, Ph.D. Dissertation, University of Michigan, Ann Arbor, 1998.
22. Kong, J. A., Electromagnetic Wave Theory, John Wiley & Sons, New York, 2000.
23. Chang, Y. and R. F. Harrington, "A surface formulation for characteristic modes of material bodies," IEEE Trans. Antennas Propag., Vol. 25, No. 6, 789-795, 1977.
doi:10.1109/TAP.1977.1141685
24. Gouesbet, G., B. Maheu, and G. Grehan, "Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation," J. Opt. Soc. Am. A, Vol. 5, No. 9, 1427-1443, 1988.
doi:10.1364/JOSAA.5.001427
25. Tsang, L., J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Theories and Applications, A Wiley-Interscience Publication, New York, 2000.
26. Ruck, G. T., Radar Cross Section Handbook, Plenum Press, New York, 1970.
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