Approximate Hernquist (aHernquist) lens

init_aHernquistLens(D_d::Real  = NaN, 
                    x_c::Real  = 0.0, 
                    y_c::Real  = 0.0, 
                    mass::Real = NaN, 
                    x_s::Real  = NaN, 
                    eps::Real  = NaN, 
                    pa::Real   = NaN)

Initialize an approximate Hernquist lens (aHernquistLens) with the given parameters based on Oguri (2021).

Keyword Arguments

• D_d::Real = NaN: ADD from observer to lens (in $\rm \mathbf{meters}$).
• x_c::Real = 0.0: x-coordinate of the lens (in $\rm \mathbf{arcseconds}$).
• y_c::Real = 0.0: y-coordinate of the lens (in $\rm \mathbf{arcseconds}$).
• mass::Real= NaN: Mass of the lens (in $\rm \mathbf{M_\odot}$).
• x_s::Real = NaN: Scale radius (in $\rm \mathbf{arcseconds}$).
• eps::Real = NaN: Ellipticity.
• pa::Real = NaN: Position angle (in $\rm \mathbf{deg}$).

potential!(ψ::U, θx::S, θy::S, D_d::T, θxc::T, θyc::T, mass::T, θs::T, ϵ::T, pa::T) where {U<:Real, S<:Real, T<:Real}

potential!(ψ::U, θx::S, θy::S, D_d::T, θxc::T, θyc::T, mass::T, θs::T, ϵ::T, pa::T) where {U<:ROA, S<:ROA, T<:Real}

deflection!(ψx::U, ψy::U, θx::S, θy::S, D_d::T, θxc::T, θyc::T, mass::T, θs::T, ϵ::T, pa::T) where {U<:Real, S<:Real, T<:Real}

deflection!(ψx::U, ψy::U, θx::S, θy::S, D_d::T, θxc::T, θyc::T, mass::T, θs::T, ϵ::T, pa::T) where {U<:ROA, S<:ROA, T<:Real}

jacobian!(ψxx::U, ψyy::U, ψxy::U, θx::S, θy::S, D_d::T, θxc::T, θyc::T, mass::T, θs::T, ϵ::T, pa::T) where {U<:Real, S<:Real, T<:Real}

jacobian!(ψxx::U, ψyy::U, ψxy::U, θx::S, θy::S, D_d::T, θxc::T, θyc::T, mass::T, θs::T, ϵ::T, pa::T) where {U<:ROA, S<:ROA, T<:Real}