Publication Abstracts

Yurkin and Mishchenko 2018

Yurkin, M.A., and M.I. Mishchenko, 2018: Volume integral equation for electromagnetic scattering: Rigorous derivation and analysis for a set of multi-layered particles with piecewise-smooth boundaries in a passive host medium. Phys. Rev. A, 97, 043824, doi:10.1103/physreva.97.043824.

We present a general derivation of the frequency-domain volume integral equation (VIE) for the electric field inside a non-magnetic scattering object from the differential Maxwell equations, transmission boundary conditions, radiation condition at infinity, and locally-finite-energy condition. The derivation applies to an essentially arbitrary spatially finite group of particles, including those with edges, corners, and intersecting internal interfaces, in a passive host medium — a wider class than in all previous derivations. We explicitly treat the strong singularity of the integral kernel, but keep the entire discussion accessible to the applied scattering community. We also consider the known results on the existence and uniqueness of VIE solution and conjecture a general sufficient condition for that. Finally, we discuss an alternative way of deriving the VIE for an arbitrary object by means of a continuous transformation of the everywhere smooth refractive-index function into a discontinuous one. Overall, the paper examines and pushes forward the state-of-the-art understanding of various analytical aspects of the VIE.

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BibTeX Citation

@article{yu09000j,
  author={Yurkin, M. A. and Mishchenko, M. I.},
  title={Volume integral equation for electromagnetic scattering: Rigorous derivation and analysis for a set of multi-layered particles with piecewise-smooth boundaries in a passive host medium},
  year={2018},
  journal={Phys. Rev. A},
  volume={97},
  pages={043824},
  doi={10.1103/physreva.97.043824},
}

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RIS Citation

TY  - JOUR
ID  - yu09000j
AU  - Yurkin, M. A.
AU  - Mishchenko, M. I.
PY  - 2018
TI  - Volume integral equation for electromagnetic scattering: Rigorous derivation and analysis for a set of multi-layered particles with piecewise-smooth boundaries in a passive host medium
JA  - Phys. Rev. A
VL  - 97
SP  - 043824
DO  - 10.1103/physreva.97.043824
ER  -

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