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ELECTROMAGNETIC SCATTERING OF A FIELD KNOWN ON A CURVED INTERFACE USING CONFORMAL GAUSSIAN BEAMS

By J. Hillairet, J. Sokoloff, and S. Bolioli

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Abstract:
Asymptotic techniques have been successfully applied to compute electromagnetic wave radiation in various high-frequency engineering domains. Recent approaches based on Gaussian beams for tracking fields may overcome some problems inherent to the ray methods such as caustics. The efficiency of these methods is based on the ability to expand surface fields into a superposition of Gaussian beams. However, some difficulties may arise when the surface is curved. In this paper, we propose a new efficient way to expand fields on a curved surface into Gaussian beams. For this purpose, a new beam formulation called Conformal Gaussian Beam (CGB) is used. The CGBs have been developed to overcome the limitation of the expansion into paraxial Gaussian Beams. The analytical Plane-Wave Spectrum and far-field of a CGB are derived and compared with numerical calculations. A brief parameter analysis of the CGBs is realised.

Citation:
J. Hillairet, 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

References:
1. Pathak, P. H., "High-frequency techniques for antenna analysis," Proc. of the IEEE, Vol. 80, No. 1, 44-65, Jan. 1992.
doi:10.1109/5.119566

2. Felsen, L. B. and L. Sevgi, "Electromagnetic engineering in the 21st century: Challenges and perspectives," Turk J. Elec. Engin., Vol. 10, No. 2, 131-145, 2002.

3. Bouche, D. P., F. A. Molinet, and R. Mittra, "Asymptotic and hybrid techniques for electromagnetic scattering ," Proc. of the IEEE, Vol. 81, No. 12, 1658-1684, Dec. 1993.
doi:10.1109/5.248956

4. Felsen, L. B., "Real spectra, complex spectra, compact spectra ," J. Opt. Soc. Am. A, Vol. 3, No. 4, 486-496, Apr. 1986.
doi:10.1364/JOSAA.3.000486

5. 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

6. Chou, H.-T. and P. H. Pathak, "Use of Gaussian ray basis functions in ray tracing methods for applications to high frequency wave propagation problems," IEE Proceedings — Microwaves, Antennas and Propagation, Vol. 147, No. 2, 77-81, Apr. 2000.
doi:10.1049/ip-map:20000097

7. Chou, H.-T., P. H. Pathak, and R. J. Burkholder, "Novel Gaussian beam method for the rapid analysis of large reflector antennas," IEEE Trans. Antenna Propagat., Vol. 49, No. 6, 880-893, June 2001.
doi:10.1109/8.931145

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

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

10. Heyman, E. and L. B. Felsen, "Gaussian beam and pulsed-beam dynamics: Complex-source and complex-spectrum formulations within and beyond paraxial asymptotics," J. Opt. Soc. Am. A, Vol. 18, No. 7, 1588-1610, July 2001.
doi:10.1364/JOSAA.18.001588

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

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

13. 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

14. 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), Sept. 2005.

15. Letrou, C., A. Boag, and E. Heyman, "Gaussian beams representation based on periodic frames for radiation from cylindrical apertures," IEEE/AP-S and URSI Meeting, Monterey (CA), USA,, 1979-1982, June 2004.

16. Chabory, A., S. Bolioli, and J. Sokoloff, "Novel Gabor-based Gaussian beam expansion for curved aperture radiation in dimension two," Progress In Electromagnetics Research, Vol. 58, 171-185, 2006.
doi:10.2528/PIER05090702

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

18. Tai, C.-T., "Direct integration of field equations," Progress In Electromagnetics Research, Vol. 28, 339-359, 2000.
doi:10.2528/PIER99101401

19. Felsen, L. B. and N. Marcuvitz, Radiation and Scattering of Waves, IEEE Press, New York, 1994.

20. Nagamune, A. and P. H. Pathak, "An efficient plane wave spectral analysis to predict the focal region fields of parabolic reflector antennas for small and wide angle scanning ," IEEE Trans. Antenna Propagat., Vol. 38, No. 11, 1746-1756, Nov. 1990.
doi:10.1109/8.102735

21. Ansbro, A. P. and J. M. Arnold, "Spectral asymptotics for general curved reflecting surface," J. Opt. Soc. Am. A, Vol. 10, No. 4, 590-599, Apr. 1993.
doi:10.1364/JOSAA.10.000590

22. Delabaere, E. and C. Howls, "Global asymptotics for multiple integrals with boundaries," Duke Math. J., Vol. 112, No. 2, 199-264, 2002.
doi:10.1215/S0012-9074-02-11221-6


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