Vol. 14
Latest Volume
All Volumes
PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2009-04-14
Uniform Analytic Scattered Fields of a PEC Plate Illuminated by a Vector Paraxial Gaussian Beam
By
Progress In Electromagnetics Research B, Vol. 14, 203-217, 2009
Abstract
A uniform asymptotic expression is developed for calculating the fields scattered by a perfect electrically conducting plate illuminated by a vectorial gaussian beam. This expression has been obtained under the physical optics approximation using the saddle point method. Some numerical applications are presented and compared with some reference methods such as a MoM. A brief parameter study of this solution is presented.
Citation
Julien Hillairet, Jérôme Sokoloff, and Sylvain Bolioli, "Uniform Analytic Scattered Fields of a PEC Plate Illuminated by a Vector Paraxial Gaussian Beam," Progress In Electromagnetics Research B, Vol. 14, 203-217, 2009.
doi:10.2528/PIERB09012701
References

1. Chou, H. T. and P. H. Pathak, "Uniform asymptotic solution for electromagnetic reflexion and diffraction of an arbitrary gaussian beam by a smooth surface with an edge," Radio Science, Vol. 32, No. 4, 1319-1336, 1997.
doi:10.1029/97RS00713

2. Chou, H. T., P. H. Pathak, and R. J. Burkholder, "Novel gaussian beam method for the rapid analysis of large reflector antennas," IEEE Trans. Antennas Propag., Vol. 49, No. 6, 880-893, Jun. 2001.
doi:10.1109/8.931145

3. Lugara, D., A. Boag, and C. Letrou, "Gaussian beam tracking through a curved interface: Comparison with a method of moments," IEE Proc. Microw. Antennas Propag., Vol. 150, No. 1, 49-55, Feb. 2003.
doi:10.1049/ip-map:20030434

4. Tahri, R., D. Fournier, S. Collonge, G. Zaharia, and G. El Zein, "Efficient and fast gaussian beam-tracking approach for indoor-propagation modeling," Microwave and Optical Technology Letters, Vol. 45, No. 5, 378-381, 2005.
doi:10.1002/mop.20829

5. Lugara, D. and C. Letrou, "Alternative to gabor's representation of plane aperture radiation," Electronis Letters, Vol. 34, No. 24, 2286-2287, Nov. 1998.
doi:10.1049/el:19981599

6. Sokoloff, J., S. Bolioli, and P. F. Combes, "Gaussian beam expansion for radiation analysis of metallic refflectors illuminated under oblique incidence," IEEE Trans. Mag., Vol. 38, No. 2, 697-700, Mar. 2002.
doi:10.1109/20.996181

7. Chabory, A., J. Sokoloff, S. Bolioli, and P. F. Combes, "Computation of electromagnetic scattering by multilayer dielectric objects using gaussian beam based techniques," C. R. Physique, Vol. 6, 654-662, 2005.
doi:10.1016/j.crhy.2005.06.011

8. Bolioli, S., J. Sokoloff, and A. Chabory, "Multilayer radome computation — Comparison between gaussian beam formalism and plane wave spectrum — Application to airbus a380," ICEAA, Turino, Italy, Sep. 2005.

9. Chabory, A., S. Bolioli, and J. Sokoloff, "Novel gabor-based gaussian beam expansion for curved aperture radiation in dimension two," Progress In Electromagnetics Research, PIER 58, 171-185, 2006.

10. Chabory, A., J. Sokoloff, and S. Bolioli, "Physically based expansion on conformal gaussian beams for the radiation of curved aperture in dimension 2," IET Microw. Antennas Propag., Vol. 2, No. 2, 152-157, Mar. 2008.
doi:10.1049/iet-map:20060168

11. Hillairet, J., J. Sokoloff, and S. Bolioli, "Electromagnetic scattering of a field known on a curved interface using conformal gaussian beams," Progress In Electromagnetics Research B, Vol. 8, 195-212, 2008.
doi:10.2528/PIERB08062603

12. Hillairet, J., S. Bolioli, and J. Sokoloff, "Analytical physical optic scattering under vectorial gaussian beams illumination of a PEC's finite plate," CEAA, Turino, Italy, Sep. 2007.

13. Hillairet, J., "Applications du formalisme des faisceaux gaussiens a la modelisation de l'interaction d'une onde electromagnetique avec un objet 3D complexe,", Ph.D. dissertation, Universit de Toulouse III --- Paul Sabatier --- UFR: P.C.A., Dec. 2007.

14. Gordon, W. B., "Far-field approximationsto the kirchhoffhelmholtz representations of scattered fields," IEEE Trans. Antennas Propag., 590-592, Jul. 1975.

15. Martini, E., G. Pelosi, and S. Selleri, "Line integral representation of physical optics scattering from a perfectly conducting plate illuminated by a gaussian beam modeled as a complex point source," IEEE Trans. Antennas Propag., Vol. 51, No. 10, 2793-2800, Oct. 2003.
doi:10.1109/TAP.2003.817982

16. Loh, E., "Semiuniform asymptotic expansions of the diffraction integral," J. Opt. Soc. Am., Vol. 70, No. 9, 1075, 1980.
doi:10.1364/JOSA.70.001075

17. Stamnes, J. J., "Uniform asymptotic theory of diffraction by apertures," J. Opt. Soc. Am., Vol. 73, No. 1, 96-109, Jan. 1983.
doi:10.1364/JOSA.73.000096

18. Conde, O. M., J. Perez, and M. F. Catedra, "Stationary phase method application for the analysis of radiation of complex 3-D conducting structures," IEEE Trans. Antennas Propag., Vol. 49, No. 5, 724-731, May 2001.
doi:10.1109/8.929626