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. 2015 Mar 5;5:8774. doi: 10.1038/srep08774

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(a) Spectra of squared modules of the Lorenz-Mie coefficient |a₀|² describing magnetic field outside a circular rod with ε₁ = 16. (b) The background spectrum. (c) Spectra of squared modules of the Lorenz-Mie coefficient |d₀|² describing magnetic field inside a rod with ε₁ = 16. (d) Squared Lorenz-Mie coefficient |a₀|² for a rod with ε₁ = 60 and an example of the Fano fitting of the TE₀₂, mode (green curve). (e) Calculated dependence of the Fano parameter q on the size parameter x = rω/c = 2πr/λ for the dipole modes TE_0k (1 ≤ k ≤ 9) of a circular rod (1 ≤ ε₁ ≤ 150) embedded in air (ε₂ = 1). Four characteristic Fano lineshapes for selected values of q are shown on the right. Top The equation expressed the Fano resonance condition and the Maxwell boundary condition. J_n(ζ) and are the Bessel and Hankel functions.

Inline graphic — (a) Spectra of squared modules of the Lorenz-Mie coefficient |a₀|² describing magnetic field outside a circular rod with ε₁ = 16. (b) The background spectrum. (c) Spectra of squared modules of the Lorenz-Mie coefficient |d₀|² describing magnetic field inside a rod with ε₁ = 16. (d) Squared Lorenz-Mie coefficient |a₀|² for a rod with ε₁ = 60 and an example of the Fano fitting of the TE₀₂, mode (green curve). (e) Calculated dependence of the Fano parameter q on the size parameter x = rω/c = 2πr/λ for the dipole modes TE_0k (1 ≤ k ≤ 9) of a circular rod (1 ≤ ε₁ ≤ 150) embedded in air (ε₂ = 1). Four characteristic Fano lineshapes for selected values of q are shown on the right. Top The equation expressed the Fano resonance condition and the Maxwell boundary condition. J_n(ζ) and are the Bessel and Hankel functions.