Abstract

The scattering by an anisotropic dielectric ellipsoid is examined theoretically. The anisotropic dielectric permittivity tensor is taken to be arbitrary. An integral equation technique is used to formulate the scattering problem. The unknown electric field inside the scatterer is determined by using an expansion into normal waves propagating inside the anisotropic medium and then by solving the fundamental integral equation. A Galerkin technique is used to obtain a numerically stable solution. Scattering amplitudes in the far-field region of the depolarized scattered wave are computed. Numerical results are finally presented for several anisotropic scatterers.

© 1990 Optical Society of America

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  1. Lord Rayleigh, Philos. Mag. 36(365) (1918).
  2. G. Mie, An. Physik. 25(377) (1908).
  3. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  4. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  5. T. Oguchi, “Scattering properties of oblate raindrops and cross polarization of radio waves due to rain: calculations at 19.3 and 34.8 GHz,” J. Radiat. Res. Lab. 20, 79–118 (1973).
  6. J. A. Morrison, M. J. Cross, “Scattering of aplane electromagnetic wave by axisymmetric raindrops,” Bell Syst. Tech. J. 53, 995–1019 (1974).
  7. P. Barber, C. Yeh, “Scattering of electromagnetic waves by arbitrarily shaped dielectric bodies,” Appl. Opt. 14, 2864–2872 (1975).
    [CrossRef] [PubMed]
  8. S. Asano, G. Yamamoto, “Light scattering by a spheroidal particle,” Appl. Opt. 14, 29–49 (1975).
    [PubMed]
  9. A. R. Holt, N. K. Uzunoglu, B. G. Evans, “An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids,” IEEE Trans. Antennas Propag. AP-26, 706–712 (1978).
    [CrossRef]
  10. J. F. Nye, Physical Properties of Crystals (Oxford U. Press, London, 1964).
  11. L. J. Pinson, Electro-Optics (Wiley, New York, 1985).
  12. M. Gottlieb, C. L. M. Ireland, J. M. Ley, Electro-Optic and Acousto-Optic Scanning and Deflection, Optical Engineering Series (Dekker, New York, 1983).
  13. R. D. Groglia, P. L. E. Uslenghi, “Anisotropic layered absorbers on cylindrical structures,” Electromagnetics 7, 117–127 (1987).
    [CrossRef]
  14. J. A. Kong, “Electromagnetic fields due to dipole antennas over stratified anisotropic media,” Geophysics 37, 985–996 (1972).
    [CrossRef]
  15. N. J. Damaskos, A. L. Maffett, P. L. E. Uslenghi, “Reflection and transmission for gyroelectromagnetic biaxial layered media,” J. Opt. Soc. Am. A 2, 454–461 (1985).
    [CrossRef]
  16. R. D. Graglia, P. L. E. Uslenghi, “Electromagnetic scattering from anisotropic materials, part I: general theory,” IEEE Trans. Antennas Propag. AP-32, 867–869 (1984).
    [CrossRef]
  17. V. V. Varadan, A. Lakhtakia, V. K. Varadan, “Scattering by three-dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. AP-37, 800–802 (1989).
    [CrossRef]
  18. J. C. Monzon, “Three-dimensional field expansion in the most general rotationally symmetric anisotropic material: application to scattering by a sphere,” IEEE Trans. Antennas Propag. AP-37, 728–735 (1989).
    [CrossRef]
  19. R. D. Graglia, P. L. E. Uslenghi, R. S. Zich, “Moment method with isoparametric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989).
    [CrossRef]
  20. L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media, Vol. 8 of Course of Theoretical Physics (translation from Russian), (Pergamon, Oxford, 1975).
  21. D. S. Jones, Theory of Electromagnetism (Pergamon, Oxford, 1964).

1989 (3)

V. V. Varadan, A. Lakhtakia, V. K. Varadan, “Scattering by three-dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. AP-37, 800–802 (1989).
[CrossRef]

J. C. Monzon, “Three-dimensional field expansion in the most general rotationally symmetric anisotropic material: application to scattering by a sphere,” IEEE Trans. Antennas Propag. AP-37, 728–735 (1989).
[CrossRef]

R. D. Graglia, P. L. E. Uslenghi, R. S. Zich, “Moment method with isoparametric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989).
[CrossRef]

1987 (1)

R. D. Groglia, P. L. E. Uslenghi, “Anisotropic layered absorbers on cylindrical structures,” Electromagnetics 7, 117–127 (1987).
[CrossRef]

1985 (1)

1984 (1)

R. D. Graglia, P. L. E. Uslenghi, “Electromagnetic scattering from anisotropic materials, part I: general theory,” IEEE Trans. Antennas Propag. AP-32, 867–869 (1984).
[CrossRef]

1978 (1)

A. R. Holt, N. K. Uzunoglu, B. G. Evans, “An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids,” IEEE Trans. Antennas Propag. AP-26, 706–712 (1978).
[CrossRef]

1975 (2)

1974 (1)

J. A. Morrison, M. J. Cross, “Scattering of aplane electromagnetic wave by axisymmetric raindrops,” Bell Syst. Tech. J. 53, 995–1019 (1974).

1973 (1)

T. Oguchi, “Scattering properties of oblate raindrops and cross polarization of radio waves due to rain: calculations at 19.3 and 34.8 GHz,” J. Radiat. Res. Lab. 20, 79–118 (1973).

1972 (1)

J. A. Kong, “Electromagnetic fields due to dipole antennas over stratified anisotropic media,” Geophysics 37, 985–996 (1972).
[CrossRef]

1918 (1)

Lord Rayleigh, Philos. Mag. 36(365) (1918).

1908 (1)

G. Mie, An. Physik. 25(377) (1908).

Asano, S.

Barber, P.

Cross, M. J.

J. A. Morrison, M. J. Cross, “Scattering of aplane electromagnetic wave by axisymmetric raindrops,” Bell Syst. Tech. J. 53, 995–1019 (1974).

Damaskos, N. J.

Evans, B. G.

A. R. Holt, N. K. Uzunoglu, B. G. Evans, “An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids,” IEEE Trans. Antennas Propag. AP-26, 706–712 (1978).
[CrossRef]

Gottlieb, M.

M. Gottlieb, C. L. M. Ireland, J. M. Ley, Electro-Optic and Acousto-Optic Scanning and Deflection, Optical Engineering Series (Dekker, New York, 1983).

Graglia, R. D.

R. D. Graglia, P. L. E. Uslenghi, R. S. Zich, “Moment method with isoparametric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989).
[CrossRef]

R. D. Graglia, P. L. E. Uslenghi, “Electromagnetic scattering from anisotropic materials, part I: general theory,” IEEE Trans. Antennas Propag. AP-32, 867–869 (1984).
[CrossRef]

Groglia, R. D.

R. D. Groglia, P. L. E. Uslenghi, “Anisotropic layered absorbers on cylindrical structures,” Electromagnetics 7, 117–127 (1987).
[CrossRef]

Holt, A. R.

A. R. Holt, N. K. Uzunoglu, B. G. Evans, “An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids,” IEEE Trans. Antennas Propag. AP-26, 706–712 (1978).
[CrossRef]

Ireland, C. L. M.

M. Gottlieb, C. L. M. Ireland, J. M. Ley, Electro-Optic and Acousto-Optic Scanning and Deflection, Optical Engineering Series (Dekker, New York, 1983).

Jones, D. S.

D. S. Jones, Theory of Electromagnetism (Pergamon, Oxford, 1964).

Kerker, M.

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).

Kong, J. A.

J. A. Kong, “Electromagnetic fields due to dipole antennas over stratified anisotropic media,” Geophysics 37, 985–996 (1972).
[CrossRef]

Lakhtakia, A.

V. V. Varadan, A. Lakhtakia, V. K. Varadan, “Scattering by three-dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. AP-37, 800–802 (1989).
[CrossRef]

Landau, L. D.

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media, Vol. 8 of Course of Theoretical Physics (translation from Russian), (Pergamon, Oxford, 1975).

Ley, J. M.

M. Gottlieb, C. L. M. Ireland, J. M. Ley, Electro-Optic and Acousto-Optic Scanning and Deflection, Optical Engineering Series (Dekker, New York, 1983).

Lifshitz, E. M.

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media, Vol. 8 of Course of Theoretical Physics (translation from Russian), (Pergamon, Oxford, 1975).

Maffett, A. L.

Mie, G.

G. Mie, An. Physik. 25(377) (1908).

Monzon, J. C.

J. C. Monzon, “Three-dimensional field expansion in the most general rotationally symmetric anisotropic material: application to scattering by a sphere,” IEEE Trans. Antennas Propag. AP-37, 728–735 (1989).
[CrossRef]

Morrison, J. A.

J. A. Morrison, M. J. Cross, “Scattering of aplane electromagnetic wave by axisymmetric raindrops,” Bell Syst. Tech. J. 53, 995–1019 (1974).

Nye, J. F.

J. F. Nye, Physical Properties of Crystals (Oxford U. Press, London, 1964).

Oguchi, T.

T. Oguchi, “Scattering properties of oblate raindrops and cross polarization of radio waves due to rain: calculations at 19.3 and 34.8 GHz,” J. Radiat. Res. Lab. 20, 79–118 (1973).

Pinson, L. J.

L. J. Pinson, Electro-Optics (Wiley, New York, 1985).

Rayleigh, Lord

Lord Rayleigh, Philos. Mag. 36(365) (1918).

Uslenghi, P. L. E.

R. D. Graglia, P. L. E. Uslenghi, R. S. Zich, “Moment method with isoparametric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989).
[CrossRef]

R. D. Groglia, P. L. E. Uslenghi, “Anisotropic layered absorbers on cylindrical structures,” Electromagnetics 7, 117–127 (1987).
[CrossRef]

N. J. Damaskos, A. L. Maffett, P. L. E. Uslenghi, “Reflection and transmission for gyroelectromagnetic biaxial layered media,” J. Opt. Soc. Am. A 2, 454–461 (1985).
[CrossRef]

R. D. Graglia, P. L. E. Uslenghi, “Electromagnetic scattering from anisotropic materials, part I: general theory,” IEEE Trans. Antennas Propag. AP-32, 867–869 (1984).
[CrossRef]

Uzunoglu, N. K.

A. R. Holt, N. K. Uzunoglu, B. G. Evans, “An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids,” IEEE Trans. Antennas Propag. AP-26, 706–712 (1978).
[CrossRef]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

Varadan, V. K.

V. V. Varadan, A. Lakhtakia, V. K. Varadan, “Scattering by three-dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. AP-37, 800–802 (1989).
[CrossRef]

Varadan, V. V.

V. V. Varadan, A. Lakhtakia, V. K. Varadan, “Scattering by three-dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. AP-37, 800–802 (1989).
[CrossRef]

Yamamoto, G.

Yeh, C.

Zich, R. S.

R. D. Graglia, P. L. E. Uslenghi, R. S. Zich, “Moment method with isoparametric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989).
[CrossRef]

An. Physik. (1)

G. Mie, An. Physik. 25(377) (1908).

Appl. Opt. (2)

Bell Syst. Tech. J. (1)

J. A. Morrison, M. J. Cross, “Scattering of aplane electromagnetic wave by axisymmetric raindrops,” Bell Syst. Tech. J. 53, 995–1019 (1974).

Electromagnetics (1)

R. D. Groglia, P. L. E. Uslenghi, “Anisotropic layered absorbers on cylindrical structures,” Electromagnetics 7, 117–127 (1987).
[CrossRef]

Geophysics (1)

J. A. Kong, “Electromagnetic fields due to dipole antennas over stratified anisotropic media,” Geophysics 37, 985–996 (1972).
[CrossRef]

IEEE Trans. Antennas Propag. (4)

R. D. Graglia, P. L. E. Uslenghi, “Electromagnetic scattering from anisotropic materials, part I: general theory,” IEEE Trans. Antennas Propag. AP-32, 867–869 (1984).
[CrossRef]

V. V. Varadan, A. Lakhtakia, V. K. Varadan, “Scattering by three-dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. AP-37, 800–802 (1989).
[CrossRef]

J. C. Monzon, “Three-dimensional field expansion in the most general rotationally symmetric anisotropic material: application to scattering by a sphere,” IEEE Trans. Antennas Propag. AP-37, 728–735 (1989).
[CrossRef]

A. R. Holt, N. K. Uzunoglu, B. G. Evans, “An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids,” IEEE Trans. Antennas Propag. AP-26, 706–712 (1978).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Radiat. Res. Lab. (1)

T. Oguchi, “Scattering properties of oblate raindrops and cross polarization of radio waves due to rain: calculations at 19.3 and 34.8 GHz,” J. Radiat. Res. Lab. 20, 79–118 (1973).

Philos. Mag. (1)

Lord Rayleigh, Philos. Mag. 36(365) (1918).

Proc. IEEE (1)

R. D. Graglia, P. L. E. Uslenghi, R. S. Zich, “Moment method with isoparametric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989).
[CrossRef]

Other (7)

L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media, Vol. 8 of Course of Theoretical Physics (translation from Russian), (Pergamon, Oxford, 1975).

D. S. Jones, Theory of Electromagnetism (Pergamon, Oxford, 1964).

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).

J. F. Nye, Physical Properties of Crystals (Oxford U. Press, London, 1964).

L. J. Pinson, Electro-Optics (Wiley, New York, 1985).

M. Gottlieb, C. L. M. Ireland, J. M. Ley, Electro-Optic and Acousto-Optic Scanning and Deflection, Optical Engineering Series (Dekker, New York, 1983).

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