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In response to the incident light's electric field, the electron density oscillates in the plasmonic hotspots producing an electric current. Associated Ohmic losses raise the temperature of the material within the plasmonic hotspot above the melting point. A nanojet and nanosphere ejection can then be observed precisely from the plasmonic hotspots.

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We examine the location of the eigenvalues of the generator G of a semi-group V (t) = e tG , t ≥ 0, related to the wave equation in an unbounded domain Ω ⊂ R d with dissipative boundary condition ∂ν u − γ(x)∂tu = 0 on Γ = ∂Ω. We study two cases: (A) : 0 < γ(x) < 1, ∀x ∈ Γ and (B) : 1 < γ(x), ∀x ∈ Γ. We prove that for every 0 < 1, the eigenvalues of G in the case (A) lie in the region Λ = {z ∈ C : | Re z| ≤ C (| Im z| 1 2 + + 1), Re z < 0}, while in the case (B) for every 0 < 1 and every N ∈ N the eigenvalues lie in Λ ∪ R N , where R N = {z ∈ C : | Im z| ≤ C N (| Re z| + 1) −N , Re z < 0}.