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Cylinder Scattering

Compare normally incident plane-wave scattering with electron energy-loss spectra for an infinite cylinder in a homogeneous host. Materials use the same optical-constants pipeline as the Mie lab.

v1.0.0·Updated 2026-06-10
Model & Assumptions Beta
Model
Exact electromagnetic boundary matching for an infinite circular cylinder. Plane-wave scattering uses the classical Mie-type series; EELS uses the non-retarded dielectric formalism.
Assumptions
Infinite cylinder length, circular cross-section, isotropic and local dielectric functions, homogeneous host medium.
Validity
Exact for plane-wave scattering at any cylinder radius. EELS results are non-retarded — accurate for sub-wavelength cylinders and moderate electron energies.
Limitations
No finite-length effects, no substrate, no non-local corrections. Tabulated optical constants limit the spectral range to available data.
References
Bohren & Huffman (1983), Chapter 8; F. J. García de Abajo, Rev. Mod. Phys. 82, 209 (2010).

Parameters

—
Components
Breakdown
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Notes

Plane wave. Normal-incidence cylinder scattering uses the Bohren-Huffman infinite-cylinder series. Efficiencies are normalized by the geometrical width 2a and converted to cross-section per unit length.

Examples

Cylinder Drawing

Dispersion relation & group velocity

v/c =
Dispersion relation
Group velocity
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Mode field profiles

Re Ex
Re Ey
Re Ez
Im Ex
Im Ey
Im Ez
|E|
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References

  • [1]C. F. Bohren & D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983), §8.
  • [2]A. Rodríguez Echarri, W. Zhao, K. Busch & F. J. García de Abajo, Relativistic electron energy-loss spectroscopy in cylindrical waveguides and holes, Phys. Rev. B 111, 205436 (2025).