The embodiments disclosed herein include improved toric lenses and other ophthalmic apparatuses (including, for example, contact lens, intraocular lenses (IOLs), and the like) that includes a freeform-polynomial surface area that establishes a band of operational meridian for the apparatus to an intended correction meridian. The freeform-polynomial surface area is defined by a mathematical expression comprising a combination of one or more polynomial expressions (e.g., Chebyshev-based polynomial expression, Zernike-based polynomial expression, etc.) each having a distinct complex orders.
