Spectrum of the volume integral operator of electromagnetic scattering

NV Budko, AB Samokhin

    Research output: Contribution to journalArticleScientificpeer-review


    The spectrum of the volume integral operator of three-dimensional electromagnetic scattering is analyzed. The operator has both continuous essential spectrum, which dominates at lower frequencies, and discrete eigenvalues, which spread out at higher ones. The explicit expression of the operator's symbol provides an exact outline of the essential spectrum for any inhomogeneous anisotropic scatterer with Holder continuous constitutive parameters. Geometrical bounds on the location of discrete eigenvalues are derived for various physical scenarios. Numerical experiments demonstrate good agreement between the predicted spectrum of the operator and the eigenvalues of its discretized version.
    Original languageUndefined/Unknown
    Pages (from-to)682-700
    Number of pages19
    JournalSIAM Journal on Scientific Computing
    Issue number2
    Publication statusPublished - 2006


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