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Isotropic scattering by penetrable cylinders.

P C Waterman1, J C Pedersen

  • 1Pedersen Research, Inc., West Yarmouth, Massachusetts 02673-2502, USA. pcwater@capecod.net

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|April 11, 2000
PubMed
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For thin infinite cylinders, scattering and absorption properties saturate or peak when skin depth equals cylinder diameter. Other cylinder shapes with equal area exhibit similar behavior, simplifying electromagnetic scattering analysis.

Area of Science:

  • Electromagnetics and Acoustics
  • Wave Scattering Theory

Background:

  • Scattering from thin infinite cylinders (ka << 1) is analyzed, considering arbitrary cross-sectional shapes and interior properties.
  • Previous studies often focused on specific geometries or simplified conductivity assumptions.

Purpose of the Study:

  • To investigate isotropic scattering for thin infinite cylinders with varying cross-sectional shapes and conductivities.
  • To determine the conditions under which scattering and absorption widths become independent of shape.
  • To develop an analytical formula for high conductivity regimes.

Main Methods:

  • Analytical derivation of scattering and absorption widths for thin infinite cylinders.
  • Comparison of results for circular cylinders with those of arbitrary cross-sections.

Related Experiment Videos

  • Investigation of the influence of skin depth relative to cylinder diameter.

    • Main Results:

    • Scattering width saturates at the perfectly conducting limit for circular cylinders.
    • Absorption width peaks when skin depth is comparable to the cylinder diameter.
    • Scattering and absorption widths for various cylinder shapes are effectively identical to circular cylinders of equal cross-sectional area.

    Conclusions:

    • Cylinder cross-sectional shape has limited impact on scattering and absorption properties under specific conditions (thin cylinders, comparable skin depth).
    • A new analytical formula for high conductivity provides a more accurate prediction.
    • The findings simplify the analysis of electromagnetic wave interaction with finite cylinders.