Abstract

The electromagnetic scattering from finite-length dielectric fibers with a diameter much smaller than the wavelength and for a perpendicular incidence case is considered. The induced fields are assumed to be uniform on the cross section of the fiber. This yields a one-dimensional integral equation for the inner field which is solved by employing Galerkin’s method. Numerical results for the scattering amplitude are obtained for specific cases. In addition, it is shown that the energy finiteness criterion is satisfied.

© 1978 Optical Society of America

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  1. N. K. Uzunoglu, "Theoretical Calculations of Scattering of Electromagnetic Waves from Precipitation Particles," Ph.D. Thesis, Colchester, England (unpublished).
  2. N. K. Uzunoglu, and A. R. Holt, "The scattering of electromagnetic radiation from dielectric scatterers," J. Phys. A: Math, Nucl. Gen. 10, 413 (1977).
  3. 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. Radio Res. Lab. 20, 79 (1973).
  4. J. A. Morrison and M. J. Cross, "Scattering of a plane electromagnetic wave by axisymmetric raindrops," Bell Syst. Tech. J. 53, 955 (1974).
  5. P. C. Waterman, "Matrix Formulation of Electromagnetic Scattering," Proc. IEEE, 53, 805 (1965).
  6. R. H. Duncan, and F. A. Hinchey, "Cylindrical Antenna Theory," J. Res. Nat. Bur. Stand. D: Radio Prop. 64D, 569 (1960).
  7. D. S. Jones, The Theory of Electromagnetism Pergamon, London, 1964) Chap. 9.
  8. R. F. Harrington, Field Computation by Moment Methods, (Macmillan, New York, 1968).
  9. P. M. Morse, and H. Feschbach, Methods of Theoretical Physics, (McGraw-Hill, New York, 1953).
  10. R. G. Newton, Scattering of Waves and Particles, (McGraw-Hill, New York, 1964), Chap. 1.

1977

N. K. Uzunoglu, and A. R. Holt, "The scattering of electromagnetic radiation from dielectric scatterers," J. Phys. A: Math, Nucl. Gen. 10, 413 (1977).

1974

J. A. Morrison and M. J. Cross, "Scattering of a plane electromagnetic wave by axisymmetric raindrops," Bell Syst. Tech. J. 53, 955 (1974).

1973

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. Radio Res. Lab. 20, 79 (1973).

1965

P. C. Waterman, "Matrix Formulation of Electromagnetic Scattering," Proc. IEEE, 53, 805 (1965).

1960

R. H. Duncan, and F. A. Hinchey, "Cylindrical Antenna Theory," J. Res. Nat. Bur. Stand. D: Radio Prop. 64D, 569 (1960).

Cross, M. J.

J. A. Morrison and M. J. Cross, "Scattering of a plane electromagnetic wave by axisymmetric raindrops," Bell Syst. Tech. J. 53, 955 (1974).

Duncan, R. H.

R. H. Duncan, and F. A. Hinchey, "Cylindrical Antenna Theory," J. Res. Nat. Bur. Stand. D: Radio Prop. 64D, 569 (1960).

Feschbach, H.

P. M. Morse, and H. Feschbach, Methods of Theoretical Physics, (McGraw-Hill, New York, 1953).

Harrington, R. F.

R. F. Harrington, Field Computation by Moment Methods, (Macmillan, New York, 1968).

Hinchey, F. A.

R. H. Duncan, and F. A. Hinchey, "Cylindrical Antenna Theory," J. Res. Nat. Bur. Stand. D: Radio Prop. 64D, 569 (1960).

Holt, A. R.

N. K. Uzunoglu, and A. R. Holt, "The scattering of electromagnetic radiation from dielectric scatterers," J. Phys. A: Math, Nucl. Gen. 10, 413 (1977).

Jones, D. S.

D. S. Jones, The Theory of Electromagnetism Pergamon, London, 1964) Chap. 9.

Morrison, J. A.

J. A. Morrison and M. J. Cross, "Scattering of a plane electromagnetic wave by axisymmetric raindrops," Bell Syst. Tech. J. 53, 955 (1974).

Morse, P. M.

P. M. Morse, and H. Feschbach, Methods of Theoretical Physics, (McGraw-Hill, New York, 1953).

Newton, R. G.

R. G. Newton, Scattering of Waves and Particles, (McGraw-Hill, New York, 1964), Chap. 1.

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. Radio Res. Lab. 20, 79 (1973).

Uzunoglu, N. K.

N. K. Uzunoglu, and A. R. Holt, "The scattering of electromagnetic radiation from dielectric scatterers," J. Phys. A: Math, Nucl. Gen. 10, 413 (1977).

N. K. Uzunoglu, "Theoretical Calculations of Scattering of Electromagnetic Waves from Precipitation Particles," Ph.D. Thesis, Colchester, England (unpublished).

Waterman, P. C.

P. C. Waterman, "Matrix Formulation of Electromagnetic Scattering," Proc. IEEE, 53, 805 (1965).

Bell Syst. Tech. J.

J. A. Morrison and M. J. Cross, "Scattering of a plane electromagnetic wave by axisymmetric raindrops," Bell Syst. Tech. J. 53, 955 (1974).

J. Phys. A: Math, Nucl. Gen.

N. K. Uzunoglu, and A. R. Holt, "The scattering of electromagnetic radiation from dielectric scatterers," J. Phys. A: Math, Nucl. Gen. 10, 413 (1977).

J. Radio Res. Lab.

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. Radio Res. Lab. 20, 79 (1973).

J. Res. Nat. Bur. Stand. D: Radio Prop.

R. H. Duncan, and F. A. Hinchey, "Cylindrical Antenna Theory," J. Res. Nat. Bur. Stand. D: Radio Prop. 64D, 569 (1960).

Other

D. S. Jones, The Theory of Electromagnetism Pergamon, London, 1964) Chap. 9.

R. F. Harrington, Field Computation by Moment Methods, (Macmillan, New York, 1968).

P. M. Morse, and H. Feschbach, Methods of Theoretical Physics, (McGraw-Hill, New York, 1953).

R. G. Newton, Scattering of Waves and Particles, (McGraw-Hill, New York, 1964), Chap. 1.

P. C. Waterman, "Matrix Formulation of Electromagnetic Scattering," Proc. IEEE, 53, 805 (1965).

N. K. Uzunoglu, "Theoretical Calculations of Scattering of Electromagnetic Waves from Precipitation Particles," Ph.D. Thesis, Colchester, England (unpublished).

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