Unique effects of the double helical conductances of the surfaces (HCS) on the Mueller matrix (Mm) of a two-layer eccentrically bianisotropic cylinder linear array are investigated in this paper. The mathematical treatment is conducted based on the boundaryvalue approach combined with the technique of generalized separation variables. Both the TMz - and TEz-polarization of the obliquely incident waves are taken into account in the analysis. To gain insight into some physical mechanisms, numerical examples are presented to show the influences of the variations of the twist angles on the behavior of Mm of a linear array of four bianisotropic cylinders. Correspondingly, various magnetic symmetry groups (such as D∞(C∞), C∞v(C∞), D∞h(D∞), C∞h(C∞)) and some generalized symmetry and anti-symmetry relations, which govern all the elements of Mm or the scattering cross section under special chiral operations, are demonstrated. The present studies can be exploited to identify the constitutive characteristics of some bianisotropic media and to provide better understanding of the electromagnetic wave interaction with bianisotropic cylindrical objects with complex boundaries.
2. Elsherbeni, A. Z. and M. Hamid, "Scattering by parallel conducting cylinders," IEEE Trans. Antennas and Propag., Vol. 35, 355-361, 1987.
3. Yousif, H. A. and S. Kohler, "Scattering by two penetrable cylinders at oblique incidence. I. The analytical solution," J. Opt. Soc. Am. A., Vol. 5, No. 7, 1085-1096, 1988.
4. Yousif, H. A. and S. Kohler, "Scattering by two penetrable cylinders at oblique incidence. II. Numerical solution," J. Opt. Soc. Am. A., Vol. 5, No. 7, 1097-1104, 1988.
5. Tsuei, T. G. and P. W. Barber, "Multiple scattering by two parallel dielectric cylinders," Appl. Opt., Vol. 27, No. 16, 3375-3382, 1988.
6. Magnusson, R. and D. Shin, "Diffraction by periodic arrays of dielectric cylinders," J. Opt. Soc. Am. A., Vol. A6, 412-414, 1989.
7. Elsherbeni, A. Z. and A. A. Kishk, "Modelling of cylindrical objects by circular dielectric or conducting cylinders," IEEE Trans. Antennas and Propag., Vol. 40, 96, 1992.
8. Bever, S. J. and J. P. Allebach, "Multiple scattering by a planar array of parallel dielectric cylinders," Appl. Opt., Vol. 31, No. 18, 3524-3532, 1992.
9. Elsherbeni, A. Z., M. Hamid, and G. Tian, "Iterative scattering of a Gaussian beam by an array of circular conducting and dielectric cylinders," J. Electromagn. Waves and Appl., Vol. 7, 1323, 1993.
10. Elsherbeni, A. Z., "A comparative study of two-dimensional multiple scattering techniques," Radio Science, Vol. 29, No. 4, 1023-1033, 1994.
11. Yousif, H. A., R. E. Mattis, and K. Kozminski, "Light scattering at oblique incidence on two coaxial cylinders," Appl. Opt., Vol. 33, No. 18, 4017-4024, 1994.
12. Korshunova, E. N., A. N. Sivov, and A. D. Shatrov, "Diffraction of plane circularly polarized waves by a grating made of circular cylinders with perfect surface electric and magnetic conductivities along the helical lines," J. Commun. Tech. and Electron., Vol. 41, No. 10, 847-850, 1996.
13. Stakanov, S. N. and A. I. Semenikhin, "Scattering of a plane wave by a cylinder with an anisotropic gyromagnetic twist-coating," J. Commun. Tech. and Electron., Vol. 41, No. 13, 1086-1093, 1996.
14. Zubov, A. S., A. N. Sivov, V. S. Solosin, A. D. Chuprin, and A. D. Shatrov, "Scattering of waves by cylinders with spiral surface conductivity and simulation of the electrodynamical characteristics of multi-link wire spirals with the help of such cylinders," J. Commun. Tech. and Electron., Vol. 41, No. 16, 1379-1382, 1996.
15. Pribytko, M. P. and A. D. Shatrov, "Low-frequency resonances in a magnetodielectric rod with an anisotropic helical conductance of the surface," J. Commun. Tech. and Electron., Vol. 42, No. 1, 17-21, 1997.
16. Korshunova, E. N., A. N. Sivov, and A. D. Shatrov, "Waves guided by a cylinder with perfect electric and magnetic conductances along helical lines," J. Commun. Tech. and Electron., Vol. 42, No. 1, 22-26, 1997.
17. Kildal, P. S., "Artificially soft and hard surfaces in electromagnetics," IEEE Trans. Antennas and Propagat., Vol. 38, No. 10, 1537-1544, 1990.
18. Kildal, P. S., A. A. Kishk, and A. Tengs, "Reduction of forward scattering from cylindrical objects using hard surfaces," IEEE Trans. Antennas and Propagat., Vol. 44, 1509-1520, 1996.
19. Kishk, A. A. and P.-S. Kildal, "Asymptotic boundary conditions for strip-loaded scatterers applied to circular dielectric cylinders under oblique incidence," IEEE Trans. Antennas and Propagat., Vol. 45, No. 1, 51-55, 1997.
20. Vaughan, R. G. and J. B. Andersen, "Polarization properties of the axial mode helix antenna," IEEE Trans. Antennas and Propagat., Vol. 33, No. 1, 10-20, 1985.
21. Hui, H. T., E. K. N. Yung, and K. W. Leung, "Numerical and experimental studies of a helical antenna loaded by a dielectric resonator," Radio Science, Vol. 32, No. 2, 295-304, 1997.
22. Kostin, M. V. and V. V. Shevchenko, "Theory of a chiral medium on the basis of spherical helically conducting particles," J. Commun. Tech. and Electron., Vol. 43, No. 8, 921-926, 1998.
23. Shevchenko, V. V., "Diffraction by a spherically spirally conducting particle: transverse chiral effect," J. Commun. Tech. and Electron., Vol. 43, No. 9, 1014-1020, 1998.
24. Jakoby, B., "Scattering of obliquely incident waves by an impedance cylinder with inhomogeneous bianisotropic coating," IEEE Trans. Antennas and Propagat., Vol. 45, No. 4, 648-655, 1997.
25. Cheng, D. J. and Y. M. M. Antar, "Scattering from a reciprocal uniaxial bianisotropic circular cylinder in the proximity of a perfect electric conductor plane," J. Opt. Am. Soc. A., No. 5, 1174-1178, 1998.
26. Cheng, D. J., Y. M. M. Antar, and G. Wang, "Electromagnetic scattering by a uniaxial chiral cylinder with arbitrary cross section: generalized mode-matching method," Micro, and Opt. Tech. Lett., Vol. 18, No. 6, 410-414, 1998.
27. Yin, W. Y., "The features of Mueller scattering matrix for two penetrable composite Faraday chiral cylinders," JEMWA, Vol. 10, 1199-1216, 1996.
28. Yin, W. Y., H. L. Zhao, and W. Wan, "Parametric study on the scattering characteristics of two impedance cylinders eccentrically coated with Faraday chiral materials," JEMWA, Vol. 10, 1467-1484, 1996.
29. Arnaut, L. R., "Chirality in multi-dimensional space with application to electromagnetic characterization of multi-dimensional chiral and semi-chiral media," JEMWA, Vol. 11, 1459-1482, 1997.
30. Dmitriev, V., "Constitutive tensors and general properties of complex and bianisotropic media described by continuous groups of symmetry," Electr. Lett., Vol. 34, No. 6, 532-534, 1998.
31. Dmitriev, V., "Group theoretical approach to determine structure of complex and composite media constitutive tensors," Electr. Lett., Vol. 34, No. 8, 743-745, 1998.
32. Dmitriev, V., "Symmetry description of continuous homogeneous isotropic media under external perturbation," Electr. Lett., Vol. 34, No. 8, 745-747, 1998.
33. Dmitriev, V., "Constitutive tensor nomenclature of Kamenetskii’s media," Micro. Opt. Tech. Lett., Vol. 8, No. 4, 280-284, 1998.
34. Bickel, W. S. and W. M. Bailey, "Stokes vectors, Mueller matrices, and polarized scattering light," Am. J. Phys., Vol. 53, 463-478, 1981.
35. Georgieva, E., "Jones and Mueller matrices for specular reflection from a chiral medium: determination of the basic chiral parameters using the elements of the Mueller matrix and experimental configurations to measure the basic chiral parameters," Appl. Opt., Vol. 30, No. 34, 5081-5085, 1991.