According to the isotropy of the reference sphere and the effective receiving domain of the feed cabin, the three-dimensional space problem is simplified to two-dimensional space for analysis, that is, to find the "ideal parabola". The measurement standard of "ideal parabola" is mainly the minimum total radial expansion and contraction of the actuator. At the same time, when the relative position between the apex of the parabola and the reference sphere changes, the focal distance of the parabola also changes. And the radial expansion and contraction of the actuator shall not be greater than ± 0.6. After comprehensive consideration, the expression of two-dimensional parabola is obtained. Further rotating the parabola around the z-axis can restore it to a three-dimensional ideal paraboloid.