Abstract

Scattering of electromagnetic radiation from a sphere, so-called Mie scattering, requires calculations that can become lengthy and even impossible for those with limited resources. At the same time, such calculations are required for the widest variety of optical applications, extending from the shortest UV to the longest microwave and radar wavelengths. This paper briefly describes new and thoroughly documented Mie scattering algorithms that result in considerable improvements in speed by employing more efficient formulations and vector structure. The algorithms are particularly fast on the Cray-1 and similar vector-processing computers.

© 1980 Optical Society of America

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References

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  1. H. C. Van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  2. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  3. L. Infeld, Q. Appl. Math. 5, 113 (1947).
  4. J. V. Dave, “Subroutines for Computing the Parameters of the Electromagnetic Radiation Scattered by a Sphere,” Report 320-3237 (IBM Scientific Center, Palo Alto, Calif., 1968).
  5. J. V. Dave, IBM J. Res. Dev. 13, 302 (1969).
    [CrossRef]
  6. W. J. Wiscombe, “Mie Scattering Calculations: Advances in Technique and Fast, Vector-Speed Computer Codes,” NCAR Technical Note NCAR/TN-140+STR (National Center for Atmospheric Research, Boulder, Colo. 80307,1979).
  7. G. W. Kattawar, G. N. Plass, Appl. Opt. 6, 1377 (1967).
    [CrossRef] [PubMed]
  8. W. J. Lentz, Appl. Opt. 15, 668 (1976).
    [CrossRef] [PubMed]
  9. V. Khare, “Short-Wavelength Scattering of Electromagnetic Waves by a Homogeneous Dielectric Sphere,” Ph.D. Thesis, U. Rochester, N.Y., 1976 (available from University Microfilms, Ann Arbor, Mich.).
  10. P. M. Johnson, Comput. Des. 17, 89 (1978).

1978 (1)

P. M. Johnson, Comput. Des. 17, 89 (1978).

1976 (1)

1969 (1)

J. V. Dave, IBM J. Res. Dev. 13, 302 (1969).
[CrossRef]

1967 (1)

1947 (1)

L. Infeld, Q. Appl. Math. 5, 113 (1947).

Dave, J. V.

J. V. Dave, IBM J. Res. Dev. 13, 302 (1969).
[CrossRef]

J. V. Dave, “Subroutines for Computing the Parameters of the Electromagnetic Radiation Scattered by a Sphere,” Report 320-3237 (IBM Scientific Center, Palo Alto, Calif., 1968).

Infeld, L.

L. Infeld, Q. Appl. Math. 5, 113 (1947).

Johnson, P. M.

P. M. Johnson, Comput. Des. 17, 89 (1978).

Kattawar, G. W.

Kerker, M.

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

Khare, V.

V. Khare, “Short-Wavelength Scattering of Electromagnetic Waves by a Homogeneous Dielectric Sphere,” Ph.D. Thesis, U. Rochester, N.Y., 1976 (available from University Microfilms, Ann Arbor, Mich.).

Lentz, W. J.

Plass, G. N.

Van de Hulst, H. C.

H. C. Van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

Wiscombe, W. J.

W. J. Wiscombe, “Mie Scattering Calculations: Advances in Technique and Fast, Vector-Speed Computer Codes,” NCAR Technical Note NCAR/TN-140+STR (National Center for Atmospheric Research, Boulder, Colo. 80307,1979).

Appl. Opt. (2)

Comput. Des. (1)

P. M. Johnson, Comput. Des. 17, 89 (1978).

IBM J. Res. Dev. (1)

J. V. Dave, IBM J. Res. Dev. 13, 302 (1969).
[CrossRef]

Q. Appl. Math. (1)

L. Infeld, Q. Appl. Math. 5, 113 (1947).

Other (5)

J. V. Dave, “Subroutines for Computing the Parameters of the Electromagnetic Radiation Scattered by a Sphere,” Report 320-3237 (IBM Scientific Center, Palo Alto, Calif., 1968).

H. C. Van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

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

W. J. Wiscombe, “Mie Scattering Calculations: Advances in Technique and Fast, Vector-Speed Computer Codes,” NCAR Technical Note NCAR/TN-140+STR (National Center for Atmospheric Research, Boulder, Colo. 80307,1979).

V. Khare, “Short-Wavelength Scattering of Electromagnetic Waves by a Homogeneous Dielectric Sphere,” Ph.D. Thesis, U. Rochester, N.Y., 1976 (available from University Microfilms, Ann Arbor, Mich.).

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