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Related Experiment Video

Updated: Jun 6, 2026

Scattering And Absorption of Light in Planetary Regoliths
11:34

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Published on: July 1, 2019

Scattering by particles with radially variable refractive indices.

A Y Perelman

    Applied Optics
    |December 4, 2010
    PubMed
    Summary

    This study solves light scattering for spherical particles with complex refractive indices. A new computational method and algorithm are presented for accurate scattering cross-section calculations.

    Area of Science:

    • Physics
    • Optics
    • Computational Electromagnetics

    Background:

    • Light scattering phenomena are crucial in various scientific fields.
    • Analyzing scattering from particles with non-uniform refractive indices presents significant challenges.
    • Existing models often require simplifications for complex refractive index profiles.

    Purpose of the Study:

    • To solve the problem of light scattering by spherical particles with radially dependent refractive indices.
    • To develop a computational scheme for calculating scattering coefficients for arbitrary refractive index profiles.
    • To provide a simple algorithm for evaluating scattered and internal electromagnetic fields.

    Main Methods:

    • Developed a computational scheme for scattering coefficients based on piecewise smooth refractive index functions.

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  • Constructed models utilizing the developed computational scheme.
  • Elaborated a straightforward algorithm for calculating scattered and internal field vectors.
  • Derived an exact expression for the scattering cross section using Debye potentials.

    • Main Results:

    • Successfully solved the scattering problem for spherical particles with arbitrary radial refractive index dependence.
    • Presented a functional computational scheme and associated models.
    • Introduced a simple and effective algorithm for field vector evaluation.
    • Obtained an exact formula for the scattering cross section.

    Conclusions:

    • The developed method provides an accurate and efficient way to analyze light scattering from inhomogeneous spherical particles.
    • The presented algorithm simplifies the computation of scattered and internal fields.
    • The exact expression for the scattering cross section offers a valuable tool for optical research.