z(ρ,ϕ)=2π(ρ-1/3u(ϕ)cos(ρf~(ϕ))Ai(-ρ2/3Δ(ϕ))(1+O(1/ρ))+ρ-2/3v(ϕ)sin(ρf~(ϕ))Ai(-ρ2/3Δ(ϕ))(1+O(1/ρ))),