Abstract

A solution has been developed for electromagnetic-wave scattering from a dielectric disk of arbitrary shape and orientation. The solution is obtained by approximating the fields inside the disk with the fields induced inside an identically oriented dielectric slab having the same thickness and dielectric constant. The fields inside the disk excite conduction and polarization currents, which are in turn used to calculate the fields scattered from the disk. This computation has been executed for observers in the far field of the disk for arbitrarily polarized incident waves, and the solution has been expressed in the form of a dyadic scattering amplitude. The results apply when the minimum dimension of the disk's cross section is large compared with both wavelength and disk thickness, although the thickness need not be small compared with wavelength. Examples of the dependence of the scattering amplitude on frequency, relative dielectric constant, and disk orientation are presented for disks of circular cross section.

© 1983 Optical Society of America

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  1. J. Meixner and W. Andrejewski, "Strenge Theorie der Beugung ebener elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe und an der kreisförmigen Öffnung im leitenden ebenen Schirm," Ann. Phys. 7, 157 (1950).
  2. W. Andrejewski, "Die Beugung Elektromagnetischer Wellen an der leitenden Kreisscheibe und an der kreisförmignen Öffnung im leitenden ebenen Schrim," dissertation for Rheinisch-Wesfalischen Technischen Hochschule, Aachen, Germany (1952).
  3. D. B. Hodge, "Scattering by circular metal disks," IEEE Trans. Antennas Propag. AP-28, 707–712 (1980).
  4. G. T. Ruck, D. E. Barrick, W. D. Stuart, and C. K. Krichbaum, Radar Cross Section Handbook (Plenum, New York, 1970), Vol. 2.
  5. F. B. Sleator, in Electromagnetic and Acoustic Scattering by Simple Shapes, J. J. Bowman, T. B. A. Senior, and P. L. E. Uslengi, eds. (North-Holland, Amsterdam, 1969), Chap. 14.
  6. H. Weil and C.-M. Chu, "Scattering and absorption of electromagneticradiation by thin dielectric disks," Appl. Opt. 15, 1832–1836 (1976).
  7. H. Weil and C.-M. Chu, "Integral equation method for scattering and absorption of electromagnetic radiation by thin lossy dielectric disks," J. Comput. Phys. 22, 111–124 (1976).
  8. R. Schiffer and K. O. Thielheim, "Light scattering by dielectricneedles and disks," J. Appl. Phys. 50, 2476–2483 (1979).
  9. D. M. Le Vine, R. Meneghini, R. H. Lang, and S. S. Seker, High Frequency Scattering from Arbitrarily Oriented Dielectric Disks," NASA TM-83910 (National Technical Information Service, Springfield, Va., 1982).
  10. R. E. Collin and F. J. Zucker, eds., Antenna Theory (McGraw-Hill, New York, 1969), Part 1, pp. 41–34.
  11. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. I. Chap. 1.
  12. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  13. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1959), Sec. 3.5.
  14. R. D. Kodis, "A note on the theory of scattering from an irregular surface," IEEE Trans. Antennas Propag. AP-14, 77–82 (1966).
  15. J. Goldstein, Classical Mechanics (Addison-Wesley, Reading, Mass., 1966), Chap. 4.

1980 (1)

D. B. Hodge, "Scattering by circular metal disks," IEEE Trans. Antennas Propag. AP-28, 707–712 (1980).

1979 (1)

R. Schiffer and K. O. Thielheim, "Light scattering by dielectricneedles and disks," J. Appl. Phys. 50, 2476–2483 (1979).

1976 (2)

H. Weil and C.-M. Chu, "Scattering and absorption of electromagneticradiation by thin dielectric disks," Appl. Opt. 15, 1832–1836 (1976).

H. Weil and C.-M. Chu, "Integral equation method for scattering and absorption of electromagnetic radiation by thin lossy dielectric disks," J. Comput. Phys. 22, 111–124 (1976).

1966 (1)

R. D. Kodis, "A note on the theory of scattering from an irregular surface," IEEE Trans. Antennas Propag. AP-14, 77–82 (1966).

1952 (1)

W. Andrejewski, "Die Beugung Elektromagnetischer Wellen an der leitenden Kreisscheibe und an der kreisförmignen Öffnung im leitenden ebenen Schrim," dissertation for Rheinisch-Wesfalischen Technischen Hochschule, Aachen, Germany (1952).

1950 (1)

J. Meixner and W. Andrejewski, "Strenge Theorie der Beugung ebener elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe und an der kreisförmigen Öffnung im leitenden ebenen Schirm," Ann. Phys. 7, 157 (1950).

Andrejewski, W.

W. Andrejewski, "Die Beugung Elektromagnetischer Wellen an der leitenden Kreisscheibe und an der kreisförmignen Öffnung im leitenden ebenen Schrim," dissertation for Rheinisch-Wesfalischen Technischen Hochschule, Aachen, Germany (1952).

J. Meixner and W. Andrejewski, "Strenge Theorie der Beugung ebener elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe und an der kreisförmigen Öffnung im leitenden ebenen Schirm," Ann. Phys. 7, 157 (1950).

Barrick, D. E.

G. T. Ruck, D. E. Barrick, W. D. Stuart, and C. K. Krichbaum, Radar Cross Section Handbook (Plenum, New York, 1970), Vol. 2.

Bohren, C. F.

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

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1959), Sec. 3.5.

Chu, C.-M.

H. Weil and C.-M. Chu, "Integral equation method for scattering and absorption of electromagnetic radiation by thin lossy dielectric disks," J. Comput. Phys. 22, 111–124 (1976).

H. Weil and C.-M. Chu, "Scattering and absorption of electromagneticradiation by thin dielectric disks," Appl. Opt. 15, 1832–1836 (1976).

Goldstein, J.

J. Goldstein, Classical Mechanics (Addison-Wesley, Reading, Mass., 1966), Chap. 4.

Hodge, D. B.

D. B. Hodge, "Scattering by circular metal disks," IEEE Trans. Antennas Propag. AP-28, 707–712 (1980).

Huffman, D. R.

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

Ishimaru, A.

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. I. Chap. 1.

Kodis, R. D.

R. D. Kodis, "A note on the theory of scattering from an irregular surface," IEEE Trans. Antennas Propag. AP-14, 77–82 (1966).

Krichbaum, C. K.

G. T. Ruck, D. E. Barrick, W. D. Stuart, and C. K. Krichbaum, Radar Cross Section Handbook (Plenum, New York, 1970), Vol. 2.

Lang, R. H.

D. M. Le Vine, R. Meneghini, R. H. Lang, and S. S. Seker, High Frequency Scattering from Arbitrarily Oriented Dielectric Disks," NASA TM-83910 (National Technical Information Service, Springfield, Va., 1982).

Meixner, J.

J. Meixner and W. Andrejewski, "Strenge Theorie der Beugung ebener elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe und an der kreisförmigen Öffnung im leitenden ebenen Schirm," Ann. Phys. 7, 157 (1950).

Meneghini, R.

D. M. Le Vine, R. Meneghini, R. H. Lang, and S. S. Seker, High Frequency Scattering from Arbitrarily Oriented Dielectric Disks," NASA TM-83910 (National Technical Information Service, Springfield, Va., 1982).

Ruck, G. T.

G. T. Ruck, D. E. Barrick, W. D. Stuart, and C. K. Krichbaum, Radar Cross Section Handbook (Plenum, New York, 1970), Vol. 2.

Schiffer, R.

R. Schiffer and K. O. Thielheim, "Light scattering by dielectricneedles and disks," J. Appl. Phys. 50, 2476–2483 (1979).

Seker, S. S.

D. M. Le Vine, R. Meneghini, R. H. Lang, and S. S. Seker, High Frequency Scattering from Arbitrarily Oriented Dielectric Disks," NASA TM-83910 (National Technical Information Service, Springfield, Va., 1982).

Sleator, F. B.

F. B. Sleator, in Electromagnetic and Acoustic Scattering by Simple Shapes, J. J. Bowman, T. B. A. Senior, and P. L. E. Uslengi, eds. (North-Holland, Amsterdam, 1969), Chap. 14.

Stuart, W. D.

G. T. Ruck, D. E. Barrick, W. D. Stuart, and C. K. Krichbaum, Radar Cross Section Handbook (Plenum, New York, 1970), Vol. 2.

Thielheim, K. O.

R. Schiffer and K. O. Thielheim, "Light scattering by dielectricneedles and disks," J. Appl. Phys. 50, 2476–2483 (1979).

Vine, D. M. Le

D. M. Le Vine, R. Meneghini, R. H. Lang, and S. S. Seker, High Frequency Scattering from Arbitrarily Oriented Dielectric Disks," NASA TM-83910 (National Technical Information Service, Springfield, Va., 1982).

Weil, H.

H. Weil and C.-M. Chu, "Integral equation method for scattering and absorption of electromagnetic radiation by thin lossy dielectric disks," J. Comput. Phys. 22, 111–124 (1976).

H. Weil and C.-M. Chu, "Scattering and absorption of electromagneticradiation by thin dielectric disks," Appl. Opt. 15, 1832–1836 (1976).

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1959), Sec. 3.5.

Ann. Phys. (1)

J. Meixner and W. Andrejewski, "Strenge Theorie der Beugung ebener elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe und an der kreisförmigen Öffnung im leitenden ebenen Schirm," Ann. Phys. 7, 157 (1950).

Appl. Opt. (1)

IEEE Trans. Antennas Propag. (2)

R. D. Kodis, "A note on the theory of scattering from an irregular surface," IEEE Trans. Antennas Propag. AP-14, 77–82 (1966).

D. B. Hodge, "Scattering by circular metal disks," IEEE Trans. Antennas Propag. AP-28, 707–712 (1980).

J. Appl. Phys. (1)

R. Schiffer and K. O. Thielheim, "Light scattering by dielectricneedles and disks," J. Appl. Phys. 50, 2476–2483 (1979).

J. Comput. Phys. (1)

H. Weil and C.-M. Chu, "Integral equation method for scattering and absorption of electromagnetic radiation by thin lossy dielectric disks," J. Comput. Phys. 22, 111–124 (1976).

Other (9)

J. Goldstein, Classical Mechanics (Addison-Wesley, Reading, Mass., 1966), Chap. 4.

D. M. Le Vine, R. Meneghini, R. H. Lang, and S. S. Seker, High Frequency Scattering from Arbitrarily Oriented Dielectric Disks," NASA TM-83910 (National Technical Information Service, Springfield, Va., 1982).

R. E. Collin and F. J. Zucker, eds., Antenna Theory (McGraw-Hill, New York, 1969), Part 1, pp. 41–34.

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. I. Chap. 1.

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

M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1959), Sec. 3.5.

G. T. Ruck, D. E. Barrick, W. D. Stuart, and C. K. Krichbaum, Radar Cross Section Handbook (Plenum, New York, 1970), Vol. 2.

F. B. Sleator, in Electromagnetic and Acoustic Scattering by Simple Shapes, J. J. Bowman, T. B. A. Senior, and P. L. E. Uslengi, eds. (North-Holland, Amsterdam, 1969), Chap. 14.

W. Andrejewski, "Die Beugung Elektromagnetischer Wellen an der leitenden Kreisscheibe und an der kreisförmignen Öffnung im leitenden ebenen Schrim," dissertation for Rheinisch-Wesfalischen Technischen Hochschule, Aachen, Germany (1952).

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