All the field can be decomposed into the series of vector spherical harmonics (VSH). After that, all the integrals can be taken. In the case of a uniform sphere of radius a , permittivity ε ε , and permeability μ μ , the problem has a precise solution. The scattering and extinction coefficients are Q sc = 2 k 2 a 2 ∑ ∑ n = 1 ∞ ∞ ( 2 n + 1 ) ( | a n | 2 + | b n | 2 ) Q ext = 2 k 2 a 2 ∑ ∑ n = 1 ∞ ∞ ( 2 n + 1 ) ℜ ℜ ( a n + b n ) Where k = n host k 0 . These are connected as σ σ ext = σ σ sc + σ σ abs or Q ext = Q sc + Q abs