Abstract

Based on the image theory of a bianisotropic object and the cylindrical vector wave functions in conjunction with their addition theorem, a convenient and effective technique is developed to study electromagnetic scattering by a reciprocal uniaxial bianisotropic circular cylinder in the proximity of a perfect electric conductor plane. Numerical results of the bistatic and the backward echo widths for TMz and TEz incident plane waves, respectively, are presented. As a result of the linear magnetoelectric interaction effects of the reciprocal uniaxial bianisotropic medium, polarization transformation of the scattered wave occurs.

© 1998 Optical Society of America

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References

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  1. A. R. Holt, “The scattering of electromagnetic waves by single hydrometeors,” Radio Sci. 17, 929–945 (1982).
    [CrossRef]
  2. S. M. Rao, D. R. Wilton, “E-field, H-field, and combined field solution for arbitrary shaped three-dimensional dielectric bodies,” Electromagnetics 10, 407–421 (1990).
    [CrossRef]
  3. A. Z. Elsherbeni, “A comparative study of two-dimensional multiple scattering techniques,” Radio Sci. 29, 1023–1033 (1994).
    [CrossRef]
  4. R. Borghi, M. Santarsiero, F. Frezza, G. Schettini, “Plane-wave scattering by a dielectric circular cylinder parallel to a general reflecting flat surface,” J. Opt. Soc. Am. A 14, 1500–1504 (1997).
    [CrossRef]
  5. E. Fucile, P. Denti, F. Borghese, R. Saija, O. I. Sindoni, “Optical properties of a sphere in the vicinity of a plane surface,” J. Opt. Soc. Am. A 14, 1505–1514 (1997).
    [CrossRef]
  6. K. O. Muinonen, A. H. Sihvola, I. V. Lindell, K. A. Lumme, “Scattering by a small object close to an interface. II. Study of backscattering,” J. Opt. Soc. Am. A 8, 477–482 (1991).
    [CrossRef]
  7. D. Cheng, Y. Zhao, W. Lin, “Scattering response of an electrically small bianisotropic spheroid in the presence of a conducting plane,” Microwave Opt. Technol. Lett. 6, 575–578 (1993).
    [CrossRef]
  8. K. O. Muinonen, “Electromagnetic scattering by two interacting dipoles,” in Proceedings of the 1989 URSI International Symposium on Electromagnetic Theory (International Union of Radio Science, Stockholm, Brussels, 1989), pp. 428–430.
  9. I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, A. J. Viitanen, Electromagnetic Waves in Chiral and Bianisotropic Media (Artech House, Norwood, Mass., 1994).
  10. A. Priou, ed., Bianisotropic and Biisotropic Media and Applications (EMW Publishing, Boston, Mass., 1994).
  11. S. A. Tretyakov, A. A. Sochava, “Plane electromagnetic waves in uniaxial bianisotropic media,” presented at the Second International Conference and Workshop on Electromagnetics of Complex Media, Gomel, Belarus, Oct. 12–14, 1993.
  12. D. Cheng, “Field representations in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Microwave Opt. Technol. Lett. 13, 358–363 (1996).
    [CrossRef]
  13. D. Cheng, W. Ren, “Green dyadics in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Phys. Rev. E 54, 2917–2924 (1996).
    [CrossRef]
  14. J. A. Kong, Theory of Electromagnetic Waves (Wiley, New York, 1990).
  15. W. S. Weiglhofer, A. Lakhtakia, “Uniformity constraint on recent conceptualised linear uniaxial bianisotropic media,” Electron. Lett. 30, 1656–1657 (1994).
    [CrossRef]
  16. I. V. Lindell, A. J. Viitanen, P. K. Koivisto, “Plane-wave propagation in a transversely bianisotropic uniaxial medium,” Microwave Opt. Technol. Lett. 6, 478–481 (1993).
    [CrossRef]
  17. S. A. Tretyakov, A. A. Sochava, “Proposed composite material for non-reflecting shields and antenna redomes,” Electron. Lett. 29, 1048–1049 (1993).
    [CrossRef]
  18. A. J. Viitanen, I. V. Lindell, “Uniaxial chiral quarter-wave polarization transformer,” Electron. Lett. 29, 1074–1075 (1993).
    [CrossRef]
  19. I. V. Lindell, S. A. Tretyakov, A. J. Viitanen, “Plane-wave propagation in a uniaxial chiroomega medium,” Microwave Opt. Technol. Lett. 6, 517–520 (1993).
    [CrossRef]
  20. D. Cheng, W. Lin, “New theorem for bianisotropic media,” Int. J. Infrared Millim. Waves 13, 351–359 (1992).
    [CrossRef]
  21. N. K. Uzunoglu, P. G. Cottis, J. G. Fikioris, “Excitation of electromagnetic waves in a gyroelectric cylinder,” IEEE Trans. Antennas Propag. 33, 90–99 (1985).
    [CrossRef]
  22. W. C. Chew, Waves and Fields in Inhomogeneous Media (Van Nostrand, New York, 1990).
  23. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  24. B. Schlicht, K. F. Wall, R. K. Chang, P. W. Barber, “Light scattering by two parallel glass fibers,” J. Opt. Soc. Am. A 4, 800–809 (1987).
    [CrossRef]
  25. A. Z. Elsherbeni, A. A. Kishk, “Modeling of cylindrical objects by circular dielectric and conducting cylinders,” IEEE Trans. Antennas Propag. 40, 96–99 (1992).
    [CrossRef]
  26. D. Cheng, Y. M. M. Antar, G. Wang, “Electromagnetic scattering by a uniaxial chiral cylinder with arbitrary cross section: generalized mode-matching method,” submitted to Int. J. Appl. Electromagn. Mech.
  27. G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
    [CrossRef]
  28. R. J. Pogorzelski, E. Lun, “On the expansion of cylindrical vector waves in terms of spherical vector waves,” Radio Sci. 11, 753–761 (1976).
    [CrossRef]

1997

1996

D. Cheng, “Field representations in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Microwave Opt. Technol. Lett. 13, 358–363 (1996).
[CrossRef]

D. Cheng, W. Ren, “Green dyadics in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Phys. Rev. E 54, 2917–2924 (1996).
[CrossRef]

1994

W. S. Weiglhofer, A. Lakhtakia, “Uniformity constraint on recent conceptualised linear uniaxial bianisotropic media,” Electron. Lett. 30, 1656–1657 (1994).
[CrossRef]

A. Z. Elsherbeni, “A comparative study of two-dimensional multiple scattering techniques,” Radio Sci. 29, 1023–1033 (1994).
[CrossRef]

1993

D. Cheng, Y. Zhao, W. Lin, “Scattering response of an electrically small bianisotropic spheroid in the presence of a conducting plane,” Microwave Opt. Technol. Lett. 6, 575–578 (1993).
[CrossRef]

I. V. Lindell, A. J. Viitanen, P. K. Koivisto, “Plane-wave propagation in a transversely bianisotropic uniaxial medium,” Microwave Opt. Technol. Lett. 6, 478–481 (1993).
[CrossRef]

S. A. Tretyakov, A. A. Sochava, “Proposed composite material for non-reflecting shields and antenna redomes,” Electron. Lett. 29, 1048–1049 (1993).
[CrossRef]

A. J. Viitanen, I. V. Lindell, “Uniaxial chiral quarter-wave polarization transformer,” Electron. Lett. 29, 1074–1075 (1993).
[CrossRef]

I. V. Lindell, S. A. Tretyakov, A. J. Viitanen, “Plane-wave propagation in a uniaxial chiroomega medium,” Microwave Opt. Technol. Lett. 6, 517–520 (1993).
[CrossRef]

1992

D. Cheng, W. Lin, “New theorem for bianisotropic media,” Int. J. Infrared Millim. Waves 13, 351–359 (1992).
[CrossRef]

A. Z. Elsherbeni, A. A. Kishk, “Modeling of cylindrical objects by circular dielectric and conducting cylinders,” IEEE Trans. Antennas Propag. 40, 96–99 (1992).
[CrossRef]

1991

1990

S. M. Rao, D. R. Wilton, “E-field, H-field, and combined field solution for arbitrary shaped three-dimensional dielectric bodies,” Electromagnetics 10, 407–421 (1990).
[CrossRef]

1987

1985

N. K. Uzunoglu, P. G. Cottis, J. G. Fikioris, “Excitation of electromagnetic waves in a gyroelectric cylinder,” IEEE Trans. Antennas Propag. 33, 90–99 (1985).
[CrossRef]

1983

G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
[CrossRef]

1982

A. R. Holt, “The scattering of electromagnetic waves by single hydrometeors,” Radio Sci. 17, 929–945 (1982).
[CrossRef]

1976

R. J. Pogorzelski, E. Lun, “On the expansion of cylindrical vector waves in terms of spherical vector waves,” Radio Sci. 11, 753–761 (1976).
[CrossRef]

Antar, Y. M. M.

D. Cheng, Y. M. M. Antar, G. Wang, “Electromagnetic scattering by a uniaxial chiral cylinder with arbitrary cross section: generalized mode-matching method,” submitted to Int. J. Appl. Electromagn. Mech.

Barber, P. W.

Bohren, C. F.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

Borghese, F.

Borghi, R.

Chang, R. K.

Cheng, D.

D. Cheng, W. Ren, “Green dyadics in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Phys. Rev. E 54, 2917–2924 (1996).
[CrossRef]

D. Cheng, “Field representations in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Microwave Opt. Technol. Lett. 13, 358–363 (1996).
[CrossRef]

D. Cheng, Y. Zhao, W. Lin, “Scattering response of an electrically small bianisotropic spheroid in the presence of a conducting plane,” Microwave Opt. Technol. Lett. 6, 575–578 (1993).
[CrossRef]

D. Cheng, W. Lin, “New theorem for bianisotropic media,” Int. J. Infrared Millim. Waves 13, 351–359 (1992).
[CrossRef]

D. Cheng, Y. M. M. Antar, G. Wang, “Electromagnetic scattering by a uniaxial chiral cylinder with arbitrary cross section: generalized mode-matching method,” submitted to Int. J. Appl. Electromagn. Mech.

Chew, W. C.

W. C. Chew, Waves and Fields in Inhomogeneous Media (Van Nostrand, New York, 1990).

Cincotti, G.

G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
[CrossRef]

Cottis, P. G.

N. K. Uzunoglu, P. G. Cottis, J. G. Fikioris, “Excitation of electromagnetic waves in a gyroelectric cylinder,” IEEE Trans. Antennas Propag. 33, 90–99 (1985).
[CrossRef]

Denti, P.

Elsherbeni, A. Z.

A. Z. Elsherbeni, “A comparative study of two-dimensional multiple scattering techniques,” Radio Sci. 29, 1023–1033 (1994).
[CrossRef]

A. Z. Elsherbeni, A. A. Kishk, “Modeling of cylindrical objects by circular dielectric and conducting cylinders,” IEEE Trans. Antennas Propag. 40, 96–99 (1992).
[CrossRef]

Fikioris, J. G.

N. K. Uzunoglu, P. G. Cottis, J. G. Fikioris, “Excitation of electromagnetic waves in a gyroelectric cylinder,” IEEE Trans. Antennas Propag. 33, 90–99 (1985).
[CrossRef]

Frezza, F.

R. Borghi, M. Santarsiero, F. Frezza, G. Schettini, “Plane-wave scattering by a dielectric circular cylinder parallel to a general reflecting flat surface,” J. Opt. Soc. Am. A 14, 1500–1504 (1997).
[CrossRef]

G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
[CrossRef]

Fucile, E.

Furno, F.

G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
[CrossRef]

Gori, F.

G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
[CrossRef]

Holt, A. R.

A. R. Holt, “The scattering of electromagnetic waves by single hydrometeors,” Radio Sci. 17, 929–945 (1982).
[CrossRef]

Huffman, D. R.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

Kishk, A. A.

A. Z. Elsherbeni, A. A. Kishk, “Modeling of cylindrical objects by circular dielectric and conducting cylinders,” IEEE Trans. Antennas Propag. 40, 96–99 (1992).
[CrossRef]

Koivisto, P. K.

I. V. Lindell, A. J. Viitanen, P. K. Koivisto, “Plane-wave propagation in a transversely bianisotropic uniaxial medium,” Microwave Opt. Technol. Lett. 6, 478–481 (1993).
[CrossRef]

Kong, J. A.

J. A. Kong, Theory of Electromagnetic Waves (Wiley, New York, 1990).

Lakhtakia, A.

W. S. Weiglhofer, A. Lakhtakia, “Uniformity constraint on recent conceptualised linear uniaxial bianisotropic media,” Electron. Lett. 30, 1656–1657 (1994).
[CrossRef]

Lin, W.

D. Cheng, Y. Zhao, W. Lin, “Scattering response of an electrically small bianisotropic spheroid in the presence of a conducting plane,” Microwave Opt. Technol. Lett. 6, 575–578 (1993).
[CrossRef]

D. Cheng, W. Lin, “New theorem for bianisotropic media,” Int. J. Infrared Millim. Waves 13, 351–359 (1992).
[CrossRef]

Lindell, I. V.

I. V. Lindell, A. J. Viitanen, P. K. Koivisto, “Plane-wave propagation in a transversely bianisotropic uniaxial medium,” Microwave Opt. Technol. Lett. 6, 478–481 (1993).
[CrossRef]

I. V. Lindell, S. A. Tretyakov, A. J. Viitanen, “Plane-wave propagation in a uniaxial chiroomega medium,” Microwave Opt. Technol. Lett. 6, 517–520 (1993).
[CrossRef]

A. J. Viitanen, I. V. Lindell, “Uniaxial chiral quarter-wave polarization transformer,” Electron. Lett. 29, 1074–1075 (1993).
[CrossRef]

K. O. Muinonen, A. H. Sihvola, I. V. Lindell, K. A. Lumme, “Scattering by a small object close to an interface. II. Study of backscattering,” J. Opt. Soc. Am. A 8, 477–482 (1991).
[CrossRef]

I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, A. J. Viitanen, Electromagnetic Waves in Chiral and Bianisotropic Media (Artech House, Norwood, Mass., 1994).

Lumme, K. A.

Lun, E.

R. J. Pogorzelski, E. Lun, “On the expansion of cylindrical vector waves in terms of spherical vector waves,” Radio Sci. 11, 753–761 (1976).
[CrossRef]

Muinonen, K. O.

K. O. Muinonen, A. H. Sihvola, I. V. Lindell, K. A. Lumme, “Scattering by a small object close to an interface. II. Study of backscattering,” J. Opt. Soc. Am. A 8, 477–482 (1991).
[CrossRef]

K. O. Muinonen, “Electromagnetic scattering by two interacting dipoles,” in Proceedings of the 1989 URSI International Symposium on Electromagnetic Theory (International Union of Radio Science, Stockholm, Brussels, 1989), pp. 428–430.

Pogorzelski, R. J.

R. J. Pogorzelski, E. Lun, “On the expansion of cylindrical vector waves in terms of spherical vector waves,” Radio Sci. 11, 753–761 (1976).
[CrossRef]

Rao, S. M.

S. M. Rao, D. R. Wilton, “E-field, H-field, and combined field solution for arbitrary shaped three-dimensional dielectric bodies,” Electromagnetics 10, 407–421 (1990).
[CrossRef]

Ren, W.

D. Cheng, W. Ren, “Green dyadics in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Phys. Rev. E 54, 2917–2924 (1996).
[CrossRef]

Saija, R.

Santarsiero, M.

R. Borghi, M. Santarsiero, F. Frezza, G. Schettini, “Plane-wave scattering by a dielectric circular cylinder parallel to a general reflecting flat surface,” J. Opt. Soc. Am. A 14, 1500–1504 (1997).
[CrossRef]

G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
[CrossRef]

Schettini, G.

R. Borghi, M. Santarsiero, F. Frezza, G. Schettini, “Plane-wave scattering by a dielectric circular cylinder parallel to a general reflecting flat surface,” J. Opt. Soc. Am. A 14, 1500–1504 (1997).
[CrossRef]

G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
[CrossRef]

Schlicht, B.

Sihvola, A. H.

K. O. Muinonen, A. H. Sihvola, I. V. Lindell, K. A. Lumme, “Scattering by a small object close to an interface. II. Study of backscattering,” J. Opt. Soc. Am. A 8, 477–482 (1991).
[CrossRef]

I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, A. J. Viitanen, Electromagnetic Waves in Chiral and Bianisotropic Media (Artech House, Norwood, Mass., 1994).

Sindoni, O. I.

Sochava, A. A.

S. A. Tretyakov, A. A. Sochava, “Proposed composite material for non-reflecting shields and antenna redomes,” Electron. Lett. 29, 1048–1049 (1993).
[CrossRef]

S. A. Tretyakov, A. A. Sochava, “Plane electromagnetic waves in uniaxial bianisotropic media,” presented at the Second International Conference and Workshop on Electromagnetics of Complex Media, Gomel, Belarus, Oct. 12–14, 1993.

Tretyakov, S. A.

I. V. Lindell, S. A. Tretyakov, A. J. Viitanen, “Plane-wave propagation in a uniaxial chiroomega medium,” Microwave Opt. Technol. Lett. 6, 517–520 (1993).
[CrossRef]

S. A. Tretyakov, A. A. Sochava, “Proposed composite material for non-reflecting shields and antenna redomes,” Electron. Lett. 29, 1048–1049 (1993).
[CrossRef]

S. A. Tretyakov, A. A. Sochava, “Plane electromagnetic waves in uniaxial bianisotropic media,” presented at the Second International Conference and Workshop on Electromagnetics of Complex Media, Gomel, Belarus, Oct. 12–14, 1993.

I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, A. J. Viitanen, Electromagnetic Waves in Chiral and Bianisotropic Media (Artech House, Norwood, Mass., 1994).

Uzunoglu, N. K.

N. K. Uzunoglu, P. G. Cottis, J. G. Fikioris, “Excitation of electromagnetic waves in a gyroelectric cylinder,” IEEE Trans. Antennas Propag. 33, 90–99 (1985).
[CrossRef]

Viitanen, A. J.

A. J. Viitanen, I. V. Lindell, “Uniaxial chiral quarter-wave polarization transformer,” Electron. Lett. 29, 1074–1075 (1993).
[CrossRef]

I. V. Lindell, S. A. Tretyakov, A. J. Viitanen, “Plane-wave propagation in a uniaxial chiroomega medium,” Microwave Opt. Technol. Lett. 6, 517–520 (1993).
[CrossRef]

I. V. Lindell, A. J. Viitanen, P. K. Koivisto, “Plane-wave propagation in a transversely bianisotropic uniaxial medium,” Microwave Opt. Technol. Lett. 6, 478–481 (1993).
[CrossRef]

I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, A. J. Viitanen, Electromagnetic Waves in Chiral and Bianisotropic Media (Artech House, Norwood, Mass., 1994).

Wall, K. F.

Wang, G.

D. Cheng, Y. M. M. Antar, G. Wang, “Electromagnetic scattering by a uniaxial chiral cylinder with arbitrary cross section: generalized mode-matching method,” submitted to Int. J. Appl. Electromagn. Mech.

Weiglhofer, W. S.

W. S. Weiglhofer, A. Lakhtakia, “Uniformity constraint on recent conceptualised linear uniaxial bianisotropic media,” Electron. Lett. 30, 1656–1657 (1994).
[CrossRef]

Wilton, D. R.

S. M. Rao, D. R. Wilton, “E-field, H-field, and combined field solution for arbitrary shaped three-dimensional dielectric bodies,” Electromagnetics 10, 407–421 (1990).
[CrossRef]

Zhao, Y.

D. Cheng, Y. Zhao, W. Lin, “Scattering response of an electrically small bianisotropic spheroid in the presence of a conducting plane,” Microwave Opt. Technol. Lett. 6, 575–578 (1993).
[CrossRef]

Electromagnetics

S. M. Rao, D. R. Wilton, “E-field, H-field, and combined field solution for arbitrary shaped three-dimensional dielectric bodies,” Electromagnetics 10, 407–421 (1990).
[CrossRef]

Electron. Lett.

S. A. Tretyakov, A. A. Sochava, “Proposed composite material for non-reflecting shields and antenna redomes,” Electron. Lett. 29, 1048–1049 (1993).
[CrossRef]

A. J. Viitanen, I. V. Lindell, “Uniaxial chiral quarter-wave polarization transformer,” Electron. Lett. 29, 1074–1075 (1993).
[CrossRef]

W. S. Weiglhofer, A. Lakhtakia, “Uniformity constraint on recent conceptualised linear uniaxial bianisotropic media,” Electron. Lett. 30, 1656–1657 (1994).
[CrossRef]

IEEE Trans. Antennas Propag.

N. K. Uzunoglu, P. G. Cottis, J. G. Fikioris, “Excitation of electromagnetic waves in a gyroelectric cylinder,” IEEE Trans. Antennas Propag. 33, 90–99 (1985).
[CrossRef]

A. Z. Elsherbeni, A. A. Kishk, “Modeling of cylindrical objects by circular dielectric and conducting cylinders,” IEEE Trans. Antennas Propag. 40, 96–99 (1992).
[CrossRef]

Int. J. Infrared Millim. Waves

D. Cheng, W. Lin, “New theorem for bianisotropic media,” Int. J. Infrared Millim. Waves 13, 351–359 (1992).
[CrossRef]

J. Opt. Soc. Am. A

Microwave Opt. Technol. Lett.

I. V. Lindell, S. A. Tretyakov, A. J. Viitanen, “Plane-wave propagation in a uniaxial chiroomega medium,” Microwave Opt. Technol. Lett. 6, 517–520 (1993).
[CrossRef]

I. V. Lindell, A. J. Viitanen, P. K. Koivisto, “Plane-wave propagation in a transversely bianisotropic uniaxial medium,” Microwave Opt. Technol. Lett. 6, 478–481 (1993).
[CrossRef]

D. Cheng, “Field representations in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Microwave Opt. Technol. Lett. 13, 358–363 (1996).
[CrossRef]

D. Cheng, Y. Zhao, W. Lin, “Scattering response of an electrically small bianisotropic spheroid in the presence of a conducting plane,” Microwave Opt. Technol. Lett. 6, 575–578 (1993).
[CrossRef]

Opt. Commun.

G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furno, G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1983).
[CrossRef]

Phys. Rev. E

D. Cheng, W. Ren, “Green dyadics in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Phys. Rev. E 54, 2917–2924 (1996).
[CrossRef]

Radio Sci.

A. R. Holt, “The scattering of electromagnetic waves by single hydrometeors,” Radio Sci. 17, 929–945 (1982).
[CrossRef]

A. Z. Elsherbeni, “A comparative study of two-dimensional multiple scattering techniques,” Radio Sci. 29, 1023–1033 (1994).
[CrossRef]

R. J. Pogorzelski, E. Lun, “On the expansion of cylindrical vector waves in terms of spherical vector waves,” Radio Sci. 11, 753–761 (1976).
[CrossRef]

Other

D. Cheng, Y. M. M. Antar, G. Wang, “Electromagnetic scattering by a uniaxial chiral cylinder with arbitrary cross section: generalized mode-matching method,” submitted to Int. J. Appl. Electromagn. Mech.

W. C. Chew, Waves and Fields in Inhomogeneous Media (Van Nostrand, New York, 1990).

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

J. A. Kong, Theory of Electromagnetic Waves (Wiley, New York, 1990).

K. O. Muinonen, “Electromagnetic scattering by two interacting dipoles,” in Proceedings of the 1989 URSI International Symposium on Electromagnetic Theory (International Union of Radio Science, Stockholm, Brussels, 1989), pp. 428–430.

I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, A. J. Viitanen, Electromagnetic Waves in Chiral and Bianisotropic Media (Artech House, Norwood, Mass., 1994).

A. Priou, ed., Bianisotropic and Biisotropic Media and Applications (EMW Publishing, Boston, Mass., 1994).

S. A. Tretyakov, A. A. Sochava, “Plane electromagnetic waves in uniaxial bianisotropic media,” presented at the Second International Conference and Workshop on Electromagnetics of Complex Media, Gomel, Belarus, Oct. 12–14, 1993.

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Figures (4)

Fig. 1
Fig. 1

Geometric configuration for the scattering of a reciprocal uniaxial bianisotropic circular cylinder in the proximity of a PEC plane: (a) original problem, (b) equivalent configuration.

Fig. 2
Fig. 2

Bistatic echo width of a reciprocal uniaxial bianisotropic circular cylinder in the proximity of a PEC plane, where the constitutive parameters of the scatterer are taken to be the same as those of Table 1. The geometric parameters of the structure are taken to be a=0.5λ0 and d=0.8λ0. The dotted, dashed, and solid curves correspond to the co-polarized, cross-polarized, and total echo widths, respectively, where the incident angle is 37 deg with respect to the +x axis. (a) TMz-polarized incident plane wave, (b) TEz-polarized incident plane wave.

Fig. 3
Fig. 3

Influence of the incident angle on the backward echo width. The constitutive parameters of the scatterer are taken to be the same as those of Table 1. The geometric parameters of the structure are taken to be a=0.4λ0 and d=0.9λ0. The dotted, dashed, and solid curves represent the co-polarized, cross-polarized, and total backward echo widths, respectively, normalized with respect to the wavelength λ0. (a) TMz-polarized incident plane wave, (b) TEz-polarized incident plane wave.

Fig. 4
Fig. 4

Variation of the backward echo width against the distance d, where the incident angle ϕinc=0, the constitutive parameters of the scatterer are taken to be the same as those of Table 1, and the radius of the cylinder is a=0.5λ0. The dotted and solid curves correspond to the TMz- and TEz-polarized incident plane waves, respectively.

Tables (1)

Tables Icon

Table 1 Convergence Check of the Bistatic Echo Width for a Reciprocal Uniaxial Bianisotropic Circular Cylinder in the Proximity of a Ground PEC Plane That is Due to a TMz-Polarized Incident Plane Wavea

Equations (50)

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D=[]·E+[ξ]·H
B=[μ]·H+[ζ]·E
[(i)]=[P]·[(o)]·[P],
[ξ(i)]=-[P]·[ξ(o)]·[P],
[ζ(i)]=-[P]·[ζ(o)]·[P],
[μ(i)]=[P]·[μ(o)]·[P],
E(r)=πq=12-dkzn=-(-i)n×eqn(kz)[Aqe(kz)Mn(1)(kz, kρq)+Bqe(kz)Nn(1)(kz, kρq)+Cqe(kz)×Ln(1)(kz, kρq)],
H(r)=πq=12-dkzn=-(-i)n×eqn(kz)[Aqh(kz)Mn(1)(kz, kρq)+Bqh(kz)Nn(1)(kz, kρq)+Cqh(kz)Lqn(1)(kz, kρq)],
Mn(j)(kz, kρq)=×[Ψn(j)(kz, kρq)ez],
Nn(j)(kz, kρq)=1kq×Mn(j)(kz, kρq),
Ln(j)(kz, kρq)=Ψn(j)(kz, kρq),
Zn(j)(kρρ)=Jn(kρρ),j=1,Yn(kρρ),j=2,Hn(1)(kρρ),j=3,Hn(2)(kρρ),j=4.
Einc(r)=n=-(-i)n[anincMn(1)(ko, r)+bnincNn(1)(ko, r)],
Hinc(r)=n=-(-i)n-1[anincNn(1)(ko, r)+bnincMn(1)(ko, r)]/η0,
Ejint(rj)=q=12n=-(-i)neqn(j)[Aqe(j)Mn(1)(kρq(j), rj)+Bqe(j)Nn(1)(kρq(j), rj)+Cqe(j)Ln(1)(kρq(j), rj)],
Hjint(rj)=q=12n=-(-i)neqn(j)[Aqh(j)Mn(1)(kρq(j), rj)+Bqh(j)Nn(1)(kρq(j), rj)+Cqh(j)Ln(1)(kρq(j), rj)],
Esca=j=12Ejsca,Hsca=j=12Hjsca,
Ejsca(rj)=n=-(-i)n[an(j)Mn(4)(ko, rj)+bn(j)Nn(4)(ko, rj)],
Hjsca(rj)=n=-(-i)n-1[an(j)Nn(4)(ko, rj)+bn(j)Mn(4)(ko, rj)]/η0.
Qn(1)(k, rq)=m=-Qm(1)(k, rp)Jm-n(kdpq)×exp[i(m-n)ϕpq],
Qn(4)(k, rq)=m=-Qm(1)(k, rp)Hm-n(2)(kdpq)×exp[i(m-n)ϕpq],
[A1(o)][ainc]+[B1(o)][a(o)]+[C1(o)][a(i)]
=q=12[Dqe(o)][eq(o)],
[A1(o)][binc]+[B1(o)][b(o)]+[C1(o)][b(i)]
=iη0q=12[Dqh(o)][eq(o)],
[A2(o)][ainc]+[B2(o)][a(o)]+[C2(o)][a(i)]
=iη0q=12[Eqh(o)][eq(o)],
[A2(o)][binc]+[B2(o)][b(o)]+[C2(o)][b(i)]
=q=12[Eqe(o)][eq(o)],
[A1(i)][ainc]+[C1(i)][a(o)]+[B1(i)][a(i)]
=q=12[Dqe(i)][eq(i)],
[A1(i)][binc]+[C1(i)][b(o)]+[B1(i)][b(i)]
=iη0q=12[Dqh(i)][eq(i)],
[A2(i)][ainc]+[C2(i)][a(o)]+[B2(i)][a(i)]
=iη0q=12[Eqh(i)][eq(i)],
[A2(i)][binc]+[C2(i)][b(o)]+[B2(i)][b(i)]
=q=12[Eqe(i)][eq(i)],
(A1(j))mn=(-i)nJm-n(k0d)Jm(k0a)×exp[i(m-n)ϕj],
(A2(j))mn=(-i)nJm-n(k0d)Jm(k0a)×exp[i(m-n)ϕj],
(B1(j))mn=(-i)nHn(2)(k0a)δ(m-n),
(B2(j))mn=(-i)nHn(2)(k0a)δ(m-n),
C1(j))mn=(-i)nHm-n(2)(2k0d)Jm(k0a)×exp[i(m-n)ϕj],
C2(j))mn=(-i)nHm-n(2)(2k0d)Jm(k0a)×exp[i(m-n)ϕj],
(Dqp(j))mn=(-i)nk0[kρq(j)Jn(kρq(j)a)Aqp(j)(kz=0)+inaJn(kρq(j)a)Cqp(j)(kz=0)]×δ(m-n),
(Eqp(j))mn=(-i)nk0kρq(j)(kρq(j)a)Bqp(j)(kz=0)×δ(m-n),
Aσ(ϕ)=limρ 2πρ Re{Esca(r)×[Hsca(r)]*}·eρRe{Einc(r)×[Hinc(r)]*}·eρ,
Hn(2)(k0ρ)=2/πk0ρ exp{-i[k0ρ-(2n+1)π/4]},
ρ,
Aσ(ϕ)=4k0n=-exp(-inϕ)[bn(o) exp(-ik0d cos ϕ)+bn(i) exp(ik0d cos ϕ)]2+4k0n=-exp(-inϕ)×[an(o) exp(-ik0d cos ϕ)+an(i) exp(ik0d cos ϕ)]2,
πϕ3π/2.

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