A covering to treat an eye of a patient, the eye having a tear liquid, a pupil, a cornea, and a conjunctiva, the covering comprising: an optical component to correct vision of the eye, the optical component comprising a posterior surface configured to extend across the optical region of the eye adjacent the eye and configured so that engagement of the posterior surface against the eye deforms the posterior surface upon pressure of an eyelid and so that the posterior surface has a shape diverging from the refractive shape of the cornea and defines a chamber having a volume; and a coupling component configured to support the optical component in relation to the pupil, the coupling component comprising an outer portion (100B3) sized to contact the conjunctiva, an inner portion (100B1) to couple to the optical component, and an intermediate portion (100B2) extending between the inner portion and the outer portion, one or more of the optical component or the coupling component comprising a plurality of fenestrations coupled to the chamber to pump the tear liquid when the eye blinks; and wherein the inner, optical component comprises a first rigidity and the coupling component comprises a second rigidity lower than the first rigidity, wherein, under pressure of the eyelid, the volume of the chamber defined by the posterior surface of the optical component decreases, thereby displacing the tear liquid towards the fenestrations, wherein the optical component is characterized by a Young's modulus from 20 MPa to 60 MPa, wherein the optical component comprises a first center and the coupling component comprises a second center and wherein the first center is located away from the second center to align the optical component with the pupil when the coupling component is coupled to the conjunctiva and aligned with an axis of the eye. an optical component to correct vision of the eye, the optical component comprising a posterior surface configured to extend across the optical region of the eye adjacent the eye and configured so that engagement of the posterior surface against the eye deforms the posterior surface upon pressure of an eyelid and so that the posterior surface has a shape diverging from the refractive shape of the cornea and defines a chamber having a volume; and a coupling component configured to support the optical component in relation to the pupil, the coupling component comprising an outer portion (100B3) sized to contact the conjunctiva, an inner portion (100B1) to couple to the optical component, and an intermediate portion (100B2) extending between the inner portion and the outer portion, one or more of the optical component or the coupling component comprising a plurality of fenestrations coupled to the chamber to pump the tear liquid when the eye blinks; and wherein the inner, optical component comprises a first rigidity and the coupling component comprises a second rigidity lower than the first rigidity, wherein, under pressure of the eyelid, the volume of the chamber defined by the posterior surface of the optical component decreases, thereby displacing the tear liquid towards the fenestrations, wherein the optical component is characterized by a Young's modulus from 20 MPa to 60 MPa, wherein the optical component comprises a first center and the coupling component comprises a second center and wherein the first center is located away from the second center to align the optical component with the pupil when the coupling component is coupled to the conjunctiva and aligned with an axis of the eye.