radiation pattern plot in matlab from a radiation pattern equation in spherical coordinate system

Antenna pattern: F(θ) = sin(θ)^2, where F is the strength of antenna pattern such as gain or field... So, F(θ) = r(θ) = sin(θ)^2 To convert this equation to cartesian coordinate system, use the conversion relation between cartesian and spherical. x = r*sin(θ) = sin(θ)^3 z = r*cos(θ) = sin(θ)^2 * cos(θ)