Abstract

In this paper the scattering from eccentrically stratified spheres is considered. For the case of a spherical inhomogeneity embedded inside a dielectric sphere, the method of separation of variables is used in conjunction with translational addition theorems for spherical vector waves. Analytical results are obtained when the difference in the dielectric constants of the two spheres is small by employing a special perturbation technique. Scattering properties such as distortion of the scattering patterns, variation of total and backscattering cross sections, and depolarization for randomly oriented scatterers are investigated. Methods of detection and identification of inhomogeneities are discussed.

© 1979 Optical Society of America

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  1. J. R. Wait, "Electromagnetic scattering from radially inhomogeneous spheres," Appl. Sci. Res. 10, 441 (1963).
  2. J. Rheinstein, "Scattering of electromagnetic waves from dielectric coated conducting spheres," IEEE Trans. Ap-12, 334 (1964).
  3. J. J. Mikulski and E. L. Murphy, "The computation of electromagnetic scattering from concentric spherical structures," IEEE Tran. AP-11, 169 (1963).
  4. C. T. Taï, "The electromagnetic theory of the spherical lunenberg lens," Appl. Sci. Res. 7, 113 (1959).
  5. M. Kerker, "The scattering of light," (Academic, New York, 1969).
  6. W. J. Swarner and L. Peters, "Radar cross section of dielectric or plasma coated spheres and circular cylinders," IEEE Trans. AP II, 558 (1963).
  7. P. J. Wyatt and D. T. Phillips, "Structure of single bacteria from light scattering," J. Theor. Biol. 37, 493 (1972).
  8. R. A. Meyer and A. Brunsting, "Light scattering from nucleated biological cells," Biophys. J. 15, 191 (1975).
  9. K. Shimizu and A. Ishmaru, "Scattering pattern analysis of bacteria," Opt. Eng. 17,129 (1978).
  10. E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705 (1973).
  11. P. R. Shapiro, "Interstellar polarization: magnetite dust," Astrophys. J. 201, 151 (1975).
  12. C. C. Johnson and A. W. Guy, "Nonionizing electromagnetic wave effects in biological material and systems," Proc. IEEE 60, 692 (1972).
  13. D. E. Liversay and Kun-Mu Chen, "Electromagnetic fields induces inside arbitrarily shaped biological bodies," IEEE Trans. MTT-22, 1273 (1974).
  14. N. K. Uzunoglu, B. G. Evans and A. R. Holt, "Scattering of electromagnetic radiation by precipitation particles and propagation characteristics of terrestrial and space communication systems," Proc. IEE 124, 417 (1977).
  15. B. M. Herman and L. J. Battan, "Calculations of mie backscattering from melting ice spheres," J. Meteorol. 18, 468 (1961).
  16. N. K. Uzunoglu and J. G. Fikioris, "Scattering from an infinite dielectric cylinder embedded into another," J. Phys. A., accepted for publication.
  17. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part II, (McGraw-Hill, New York, 1953).
  18. O. R. Cruzan, "Translational addition theorems for spherical vector wave functions," Quart. Appl. Math. 20, 33 (1962).
  19. J. D. Kanellopoulos and J. G. Fikioris, "Resonant frequencies in an electromagnetic eccentric spherical cavity," Quart. Appl. Math., accepted for publication.
  20. R. Mittra and S. W. Lee, "Analytical techniques in the theory of guided waves," (Macmillan, New York, 1971)
  21. R. Mittra, Computer Techniques for Electromagnetics, (Pergamon, New York, 1973).
  22. R. F. Harrington, Field Computation by Moment Methods, (Macmillan, New York, 1968).
  23. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions," (Dover, New York, 1972).
  24. M. E., Rose, Elementary Theory of Angular Momentum, (Wiley, London, 1963), Chap. 3.

1978 (1)

K. Shimizu and A. Ishmaru, "Scattering pattern analysis of bacteria," Opt. Eng. 17,129 (1978).

1975 (2)

R. A. Meyer and A. Brunsting, "Light scattering from nucleated biological cells," Biophys. J. 15, 191 (1975).

P. R. Shapiro, "Interstellar polarization: magnetite dust," Astrophys. J. 201, 151 (1975).

1974 (1)

D. E. Liversay and Kun-Mu Chen, "Electromagnetic fields induces inside arbitrarily shaped biological bodies," IEEE Trans. MTT-22, 1273 (1974).

1973 (1)

E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705 (1973).

1972 (1)

P. J. Wyatt and D. T. Phillips, "Structure of single bacteria from light scattering," J. Theor. Biol. 37, 493 (1972).

1964 (1)

J. Rheinstein, "Scattering of electromagnetic waves from dielectric coated conducting spheres," IEEE Trans. Ap-12, 334 (1964).

1963 (3)

J. J. Mikulski and E. L. Murphy, "The computation of electromagnetic scattering from concentric spherical structures," IEEE Tran. AP-11, 169 (1963).

J. R. Wait, "Electromagnetic scattering from radially inhomogeneous spheres," Appl. Sci. Res. 10, 441 (1963).

W. J. Swarner and L. Peters, "Radar cross section of dielectric or plasma coated spheres and circular cylinders," IEEE Trans. AP II, 558 (1963).

1962 (1)

O. R. Cruzan, "Translational addition theorems for spherical vector wave functions," Quart. Appl. Math. 20, 33 (1962).

1961 (1)

B. M. Herman and L. J. Battan, "Calculations of mie backscattering from melting ice spheres," J. Meteorol. 18, 468 (1961).

1959 (1)

C. T. Taï, "The electromagnetic theory of the spherical lunenberg lens," Appl. Sci. Res. 7, 113 (1959).

Abramowitz, M.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions," (Dover, New York, 1972).

Battan, L. J.

B. M. Herman and L. J. Battan, "Calculations of mie backscattering from melting ice spheres," J. Meteorol. 18, 468 (1961).

Brunsting, A.

R. A. Meyer and A. Brunsting, "Light scattering from nucleated biological cells," Biophys. J. 15, 191 (1975).

Chen, Kun-Mu

D. E. Liversay and Kun-Mu Chen, "Electromagnetic fields induces inside arbitrarily shaped biological bodies," IEEE Trans. MTT-22, 1273 (1974).

Cruzan, O. R.

O. R. Cruzan, "Translational addition theorems for spherical vector wave functions," Quart. Appl. Math. 20, 33 (1962).

Evans, B. G.

N. K. Uzunoglu, B. G. Evans and A. R. Holt, "Scattering of electromagnetic radiation by precipitation particles and propagation characteristics of terrestrial and space communication systems," Proc. IEE 124, 417 (1977).

Feshbach, H.

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

Fikioris, J. G.

J. D. Kanellopoulos and J. G. Fikioris, "Resonant frequencies in an electromagnetic eccentric spherical cavity," Quart. Appl. Math., accepted for publication.

N. K. Uzunoglu and J. G. Fikioris, "Scattering from an infinite dielectric cylinder embedded into another," J. Phys. A., accepted for publication.

Guy, A. W.

C. C. Johnson and A. W. Guy, "Nonionizing electromagnetic wave effects in biological material and systems," Proc. IEEE 60, 692 (1972).

Harrington, R. F.

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

Herman, B. M.

B. M. Herman and L. J. Battan, "Calculations of mie backscattering from melting ice spheres," J. Meteorol. 18, 468 (1961).

Holt, A. R.

N. K. Uzunoglu, B. G. Evans and A. R. Holt, "Scattering of electromagnetic radiation by precipitation particles and propagation characteristics of terrestrial and space communication systems," Proc. IEE 124, 417 (1977).

Ishmaru, A.

K. Shimizu and A. Ishmaru, "Scattering pattern analysis of bacteria," Opt. Eng. 17,129 (1978).

Johnson, C. C.

C. C. Johnson and A. W. Guy, "Nonionizing electromagnetic wave effects in biological material and systems," Proc. IEEE 60, 692 (1972).

Kanellopoulos, J. D.

J. D. Kanellopoulos and J. G. Fikioris, "Resonant frequencies in an electromagnetic eccentric spherical cavity," Quart. Appl. Math., accepted for publication.

Kerker, M.

M. Kerker, "The scattering of light," (Academic, New York, 1969).

Lee, S. W.

R. Mittra and S. W. Lee, "Analytical techniques in the theory of guided waves," (Macmillan, New York, 1971)

Liversay, D. E.

D. E. Liversay and Kun-Mu Chen, "Electromagnetic fields induces inside arbitrarily shaped biological bodies," IEEE Trans. MTT-22, 1273 (1974).

Meyer, R. A.

R. A. Meyer and A. Brunsting, "Light scattering from nucleated biological cells," Biophys. J. 15, 191 (1975).

Mikulski, J. J.

J. J. Mikulski and E. L. Murphy, "The computation of electromagnetic scattering from concentric spherical structures," IEEE Tran. AP-11, 169 (1963).

Mittra, R.

R. Mittra and S. W. Lee, "Analytical techniques in the theory of guided waves," (Macmillan, New York, 1971)

R. Mittra, Computer Techniques for Electromagnetics, (Pergamon, New York, 1973).

Morse, P. M.

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

Murphy, E. L.

J. J. Mikulski and E. L. Murphy, "The computation of electromagnetic scattering from concentric spherical structures," IEEE Tran. AP-11, 169 (1963).

Pennypacker, C. R.

E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705 (1973).

Peters, L.

W. J. Swarner and L. Peters, "Radar cross section of dielectric or plasma coated spheres and circular cylinders," IEEE Trans. AP II, 558 (1963).

Phillips, D. T.

P. J. Wyatt and D. T. Phillips, "Structure of single bacteria from light scattering," J. Theor. Biol. 37, 493 (1972).

Purcell, E. M.

E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705 (1973).

Rheinstein, J.

J. Rheinstein, "Scattering of electromagnetic waves from dielectric coated conducting spheres," IEEE Trans. Ap-12, 334 (1964).

Rose, M.E.

M. E., Rose, Elementary Theory of Angular Momentum, (Wiley, London, 1963), Chap. 3.

Shapiro, P. R.

P. R. Shapiro, "Interstellar polarization: magnetite dust," Astrophys. J. 201, 151 (1975).

Shimizu, K.

K. Shimizu and A. Ishmaru, "Scattering pattern analysis of bacteria," Opt. Eng. 17,129 (1978).

Stegun, I. A.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions," (Dover, New York, 1972).

Swarner, W. J.

W. J. Swarner and L. Peters, "Radar cross section of dielectric or plasma coated spheres and circular cylinders," IEEE Trans. AP II, 558 (1963).

Taï, C. T.

C. T. Taï, "The electromagnetic theory of the spherical lunenberg lens," Appl. Sci. Res. 7, 113 (1959).

Uzunoglu, N. K.

N. K. Uzunoglu and J. G. Fikioris, "Scattering from an infinite dielectric cylinder embedded into another," J. Phys. A., accepted for publication.

N. K. Uzunoglu, B. G. Evans and A. R. Holt, "Scattering of electromagnetic radiation by precipitation particles and propagation characteristics of terrestrial and space communication systems," Proc. IEE 124, 417 (1977).

Wait, J. R.

J. R. Wait, "Electromagnetic scattering from radially inhomogeneous spheres," Appl. Sci. Res. 10, 441 (1963).

Wyatt, P. J.

P. J. Wyatt and D. T. Phillips, "Structure of single bacteria from light scattering," J. Theor. Biol. 37, 493 (1972).

Appl. Sci. Res. (2)

J. R. Wait, "Electromagnetic scattering from radially inhomogeneous spheres," Appl. Sci. Res. 10, 441 (1963).

C. T. Taï, "The electromagnetic theory of the spherical lunenberg lens," Appl. Sci. Res. 7, 113 (1959).

Astrophys. J. (2)

E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705 (1973).

P. R. Shapiro, "Interstellar polarization: magnetite dust," Astrophys. J. 201, 151 (1975).

Biophys. J. (1)

R. A. Meyer and A. Brunsting, "Light scattering from nucleated biological cells," Biophys. J. 15, 191 (1975).

IEEE Tran. (1)

J. J. Mikulski and E. L. Murphy, "The computation of electromagnetic scattering from concentric spherical structures," IEEE Tran. AP-11, 169 (1963).

IEEE Trans. (3)

W. J. Swarner and L. Peters, "Radar cross section of dielectric or plasma coated spheres and circular cylinders," IEEE Trans. AP II, 558 (1963).

J. Rheinstein, "Scattering of electromagnetic waves from dielectric coated conducting spheres," IEEE Trans. Ap-12, 334 (1964).

D. E. Liversay and Kun-Mu Chen, "Electromagnetic fields induces inside arbitrarily shaped biological bodies," IEEE Trans. MTT-22, 1273 (1974).

J. Meteorol. (1)

B. M. Herman and L. J. Battan, "Calculations of mie backscattering from melting ice spheres," J. Meteorol. 18, 468 (1961).

J. Theor. Biol. (1)

P. J. Wyatt and D. T. Phillips, "Structure of single bacteria from light scattering," J. Theor. Biol. 37, 493 (1972).

Opt. Eng. (1)

K. Shimizu and A. Ishmaru, "Scattering pattern analysis of bacteria," Opt. Eng. 17,129 (1978).

Quart. Appl. Math. (1)

O. R. Cruzan, "Translational addition theorems for spherical vector wave functions," Quart. Appl. Math. 20, 33 (1962).

Other (11)

J. D. Kanellopoulos and J. G. Fikioris, "Resonant frequencies in an electromagnetic eccentric spherical cavity," Quart. Appl. Math., accepted for publication.

R. Mittra and S. W. Lee, "Analytical techniques in the theory of guided waves," (Macmillan, New York, 1971)

R. Mittra, Computer Techniques for Electromagnetics, (Pergamon, New York, 1973).

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

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions," (Dover, New York, 1972).

M. E., Rose, Elementary Theory of Angular Momentum, (Wiley, London, 1963), Chap. 3.

N. K. Uzunoglu, B. G. Evans and A. R. Holt, "Scattering of electromagnetic radiation by precipitation particles and propagation characteristics of terrestrial and space communication systems," Proc. IEE 124, 417 (1977).

C. C. Johnson and A. W. Guy, "Nonionizing electromagnetic wave effects in biological material and systems," Proc. IEEE 60, 692 (1972).

M. Kerker, "The scattering of light," (Academic, New York, 1969).

N. K. Uzunoglu and J. G. Fikioris, "Scattering from an infinite dielectric cylinder embedded into another," J. Phys. A., accepted for publication.

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

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