Azimuth over elevation satellite earth visualization

Hello,

I would like to display a world map visualization seen by a geostationnary satellite over a contour plot. Contour plot is corresponding to a satellite radiation pattern in azimuth over elevation (see file attached) : contour(az1,el1,CoA,ISO) with CoA amplitude strenght of the signal et ISO (amplitude iso contour level)

In order to verify the field repartition on earth of this contour plot, I need to overlap it with corresponding earth map projection.

For that I would like to creat a sphere corresponding of the earth view to the satellite in azimuth over elevation projection (36000km). Then, over this sphere I would like to projet iso contours radiation pattern.

Thank your for your help !

Anthony