A method of calculating an optical system of a progressive addition ophthalmic lens intended to be manufactured and capable of correcting wearer's vision, where the wearer is presbyopic and has a prescribed addition which is more than 0.5 Diopter, where the progressive addition ophthalmic lens has a back surface and a front surface, arranged to deliver a corrected ophthalmic vision image to the wearer through the back surface, where the back surface is positioned closest to a wearer's eye when the progressive addition ophthalmic lens is worn, the progressive addition ophthalmic lens comprising an embedded light guide optical element within the ophthalmic lens having an exit surface and an opposite surface and being arranged to output a supplementary image at least in a part of the field of vision of the wearer through the exit surface of said light guide optical element, wherein the method comprises the step of optimizing the optical system so that to provide an accommodation effort that is less than or equal to the wearer's residual accommodative effort when viewing from the corrected ophthalmic vision image to the supplementary image and vice versa, wherein the residual accommodative effort of a wearer is a data, or a set of data, directed of the amount of accommodation that the wearer can use without generating visual fatigue, and wherein the progressive addition ophthalmic lens is chosen within the list consisting of a lens comprising a far vision zone, an intermediate vision zone and a near vision zone; a lens comprising an intermediate vision zone and a near vision zone; a lens comprising a far vision zone and an intermediate vision zone, and wherein the supplementary image is output in at least a zone of the intermediate vision zone, and/or of the near vision zone and/or the far vision zone, wherein the exit surface is defined by an angular aperture contour, denoted AC(α,β), α being the eye declination angle and β being the eye azimuth angle, and the method further comprises the successive steps of: • providing prescription data of the wearer; • providing an optical target that has a virtual optical function according to the wearer's prescription data where the optical power of said optical target is denoted P OT (α,β); • calculating the average sphere value D FS (α,β), of the front surface, so that it fulfils the requirement of following equation, when (α,β) is within the contour AC(α,β): P OT α β − 1 − 1 P rem ≤ D FS α β ≤ P OT α β − 1 ELD − 1 P prox wherein: • P prox is the proximity of the Punctum proximum value expressed in diopter; • P rem is the proximity of the Punctum remotum value expressed in diopter; • ELD is chosen within the list consisting of the measured wearer's eye-lens distance expressed in meter; the standard wearer's eye-lens distance expressed in meter; ELD = 0. the progressive addition ophthalmic lens is chosen within the list consisting of a lens comprising a far vision zone, an intermediate vision zone and a near vision zone; a lens comprising an intermediate vision zone and a near vision zone; a lens comprising a far vision zone and an intermediate vision zone, and wherein the supplementary image is output in at least a zone of the intermediate vision zone, and/or of the near vision zone and/or the far vision zone, wherein the exit surface is defined by an angular aperture contour, denoted AC(α,β), α being the eye declination angle and β being the eye azimuth angle, and the method further comprises the successive steps of: • providing prescription data of the wearer; • providing an optical target that has a virtual optical function according to the wearer's prescription data where the optical power of said optical target is denoted P OT (α,β); • calculating the average sphere value D FS (α,β), of the front surface, so that it fulfils the requirement of following equation, when (α,β) is within the contour AC(α,β): P OT α β − 1 − 1 P rem ≤ D FS α β ≤ P OT α β − 1 ELD − 1 P prox wherein: • P prox is the proximity of the Punctum proximum value expressed in diopter; • P rem is the proximity of the Punctum remotum value expressed in diopter; • ELD is chosen within the list consisting of the measured wearer's eye-lens distance expressed in meter; the standard wearer's eye-lens distance expressed in meter; ELD = 0. • providing prescription data of the wearer; • providing an optical target that has a virtual optical function according to the wearer's prescription data where the optical power of said optical target is denoted P OT (α,β); • calculating the average sphere value D FS (α,β), of the front surface, so that it fulfils the requirement of following equation, when (α,β) is within the contour AC(α,β): P OT α β − 1 − 1 P rem ≤ D FS α β ≤ P OT α β − 1 ELD − 1 P prox wherein: • P prox is the proximity of the Punctum proximum value expressed in diopter; • P rem is the proximity of the Punctum remotum value expressed in diopter; • ELD is chosen within the list consisting of the measured wearer's eye-lens distance expressed in meter; the standard wearer's eye-lens distance expressed in meter; ELD = 0. • P prox is the proximity of the Punctum proximum value expressed in diopter; • P rem is the proximity of the Punctum remotum value expressed in diopter; • ELD is chosen within the list consisting of the measured wearer's eye-lens distance expressed in meter; the standard wearer's eye-lens distance expressed in meter; ELD = 0.