An ophthalmic lens for modifying or reducing non-axisymmetric higher order aberrations includes an optic body disposed about an optical axis having a primary meridian and an orthogonal secondary meridian. The optic body comprises an anterior surface and an opposing posterior surface. The optic body includes an optic zone comprising a base shape that is configured to form an image or focus from light incident on the surfaces, either alone or when used within an optical system. The optic body also includes a higher order toric shape that is imposed on or added to one of the surfaces. The higher order toric shape also includes a first profile disposed along the primary meridian and a second profile disposed along the secondary meridian that is different in shape from the first profile. The higher order toric shape is characterized by a profile along at least one meridian of the lens that changes with increasing radius from the optical axis raised to a power that is greater than two.
