Figure 4

The decay rates, normalized weightings, and Ω _l (θ, ϕ) of a single ring with N = 20 and r/λ = 0.5. (a) The spontaneous decay rates shown in ascending order and logarithmic scale, which are derived from the real part of the eigenvalues λ _m . (b) The normalized weightings on the eigenmodes for l = 1, 2, 5, 9, and 10 (○, □, +, ×, and ◊ respectively), and (c) the corresponding Ω _l (θ, ϕ) (left to right), in the same viewing angle of Fig. 2. The fitted exponential decay rates for l = 1, 2, 5, 9, and 10 (in units of Γ/2), Γ _f  = 5.43, 4.77, 0.024, 1.3 × 10⁻³, and 5 × 10⁻⁴, respectively.