Spectacle lens, family of spectacle lenses, method for designing a family of spectacle lenses and method for producing a spectacle lens

A computer-implemented method for designing a family of spectacle lenses, the method comprising:

• specifying a number of prescription-based spherical powers and a number of prescription-based astigmatic powers;
• determining, for each combination of a specific spherical power from the number of prescription-based spherical powers with a specific astigmatic power from the number of prescription-based astigmatic powers, in each case a spectacle lens with a rotationally symmetrical front spectacle lens surface and an atoric rear spectacle lens surface;
• forming groups of rotationally symmetrical front spectacle lens surfaces such that each group of rotationally symmetrical front spectacle lens surfaces contains a number of different rotationally symmetrical front spectacle lens surfaces;
• forming groups of atoric rear spectacle lens surfaces such that each group of atoric rear spectacle lens surfaces contains a number of atoric rear spectacle lens surfaces;
• assigning each group of atoric rear spectacle lens surfaces to a group of rotationally symmetrical front spectacle lens surfaces;
• and
• assigning each combination of an atoric rear spectacle lens surface from a group of atoric rear spectacle lens surfaces with a rotationally symmetrical front spectacle lens surface from the assigned groups of rotationally symmetrical front spectacle lens surfaces to a spectacle lens of the family of spectacle lenses,
• wherein each of the atoric rear spectacle lens surfaces has in at least one principal section a deviation of a curvature from a circular shape,
• such that, with a value for a distance a between a vertex of the real atoric rear spectacle lens surface and a center of rotation of the eye, which is obtained from the equation a=HSA+(13.5−0.2·Sa), wherein HSA is a corneal vertex distance and Sa is a spherical equivalent, at every point of a region of the spectacle lens situated within a radius of 25 mm around a geometrical center of the spectacle lens an upper limit of a total deviation RMS=Sqrt (SphAbw2+(astAbw/2)2) of a prescription-based effect is not exceeded,
• wherein an upper limit of the total deviation is given by
• 0.25 D−MIN[(0.05·Sph−0.1·|Zyl|);0], and
• wherein
• Sph denotes a sphere value of the prescription-based spherical power,
• Zyl denotes a cylinder value of the prescription-based astigmatic power, which can assume a value of zero or a negative value,
• |Zyl| denotes an absolute value of the cylinder value,
• sphAbw denotes a deviation of the prescription-based spherical power of the spectacle lens from the spherical power actually achieved with the spectacle lens,
• astAbw denotes the deviation of the prescription-based astigmatic power of the spectacle lens from the astigmatic power actually achieved with the spectacle lens, and
• MIN denotes a minimum function.

A non-volatile computer-readable storage medium with instructions stored thereon for designing a family of spectacle lenses, the instructions, when executed on a computer, causing the computer to:

• specify or record a number of prescription-based spherical powers and a number of prescription-based astigmatic powers;
• determine for each from the combination of a specific spherical power from the number of prescription-based spherical powers with a specific astigmatic power from the number of prescription-based astigmatic powers in each case a spectacle lens with a rotationally symmetrical front spectacle lens surface and an atoric rear spectacle lens surface;
• form groups of rotationally symmetrical front spectacle lens surfaces such that each group of rotationally symmetrical front spectacle lens surfaces contains a number of different rotationally symmetrical front spectacle lens surfaces;
• form groups of atoric rear spectacle lens surfaces such that each group of atoric rear spectacle lens surfaces contains a number of atoric rear spectacle lens surfaces;
• assign each group of atoric rear spectacle lens surfaces to a group of rotationally symmetrical front spectacle lens surfaces;
• and
• assign each combination of an atoric rear spectacle lens surface from a group of atoric rear spectacle lens surfaces with a rotationally symmetrical front spectacle lens surface from the assigned groups of rotationally symmetrical front spectacle lens surfaces to a spectacle lens of the family of spectacle lenses,
• wherein to determine for each of the atoric rear spectacle lens surfaces the deviation of a curvature of the respective atoric rear spectacle lens surface from the circular shape in at least one principal section for a value for a distance a between a vertex of the rear spectacle lens surface and a center of rotation of the eye, which is obtained from the equation a=HSA+(13.5−0.2·Sa), where HSA is the corneal vertex distance and Sa is the spherical equivalent, such that, with a distance between the vertex of the rear spectacle lens surface and the center of rotation of the eye corresponding to the value, at every point of a region of the spectacle lens situated within a radius of 25 mm around a geometrical center of the spectacle lens an upper limit of a total deviation
• RMS=Sqrt(SphAbw2+(astAbw/2)2)
• of the prescription-based effect is not exceeded,
• wherein an upper limit of the total deviation is given by
• 0.25 D|MIN[(0.05·Sph−0.1·|Zyl|);0], and
• wherein
• Sph denotes the sphere value of the prescription-based spherical power,
• Zyl denotes the cylinder” value of the prescription-based astigmatic power, which can assume the value zero or a negative value,
• |Zyl| denotes the absolute value of the cylinder value,
• sphAbw denotes the deviation of the prescription-based spherical power of the spectacle lens from the spherical power actually achieved with the spectacle lens,
• astAbw denotes the deviation of the prescription-based astigmatic power of the spectacle lens from the astigmatic power actually achieved with the spectacle lens, and
• MIN denotes the minimum function.

A method for producing a spectacle lens having:

• a rotationally symmetrical front spectacle lens surface;
• and
• a real atoric rear spectacle lens surface,
• wherein the real atoric rear spectacle lens surface has in at least one principal section a deviation of a curvature from a circular shape,
• such that, with a value for a distance a between a vertex of the real atoric rear spectacle lens surface and a center of rotation of the eye, which is obtained from the equation a=HSA+(13.5−0.2·Sa), wherein HSA is a corneal vertex distance and Sa is a spherical equivalent, at every point of a region of the spectacle lens situated within a radius of 25 mm around a geometrical center of the spectacle lens an upper limit of a total deviation RMS=Sqrt (SphAbw2+(astAbw/2)2) of a prescription-based effect is not exceeded,
• wherein an upper limit of the total deviation is given by
• 0.25 D−MIN[(0.05·Sph−0.1·|Zyl|);0], and
• wherein
• Sph denotes a sphere value of the prescription-based spherical power,
• Zyl denotes a cylinder value of the prescription-based astigmatic power, which can assume a value of zero or a negative value,
• |Zyl| denotes an absolute value of the cylinder value,
• sphAbw denotes a deviation of the prescription-based spherical power of the spectacle lens from the spherical power actually achieved with the spectacle lens,
• astAbw denotes the deviation of the prescription-based astigmatic power of the spectacle lens from the astigmatic power actually achieved with the spectacle lens, and
• MIN denotes a minimum function, the method comprising:
• specifying a prescription-based spherical power and a prescription-based astigmatic power;
• selecting, for the combination of the specified prescription-based spherical power and the specified prescription-based astigmatic power, a rotationally symmetrical front spectacle lens surface from a group of a number of groups of rotationally symmetrical front spectacle lens surfaces of a family of spectacle lenses and an atoric rear spectacle lens surface from a group of a number of groups of atoric rear spectacle lens surfaces of the family of spectacle lenses, the family of spectacle lenses having been designed according to a computer-implemented method including:
• determining, for each combination of a specific spherical power from the number of prescription-based spherical powers with a specific astigmatic power from the number of prescription-based astigmatic powers, in each case a spectacle lens with a rotationally symmetrical front spectacle lens surface and an atoric rear spectacle lens surface;
• forming groups of rotationally symmetrical front spectacle lens surfaces such that each group of rotationally symmetrical front spectacle lens surfaces contains a number of different rotationally symmetrical front spectacle lens surfaces;
• forming groups of atoric rear spectacle lens surfaces such that each group of atoric rear spectacle lens surfaces contains a number of atoric rear spectacle lens surfaces;
• assigning each group of atoric rear spectacle lens surfaces to a group of rotationally symmetrical front spectacle lens surfaces;
• and
• assigning each combination of an atoric rear spectacle lens surface from a group of atoric rear spectacle lens surfaces with a rotationally symmetrical front spectacle lens surface from the assigned groups of rotationally symmetrical front spectacle lens surfaces to a spectacle lens of the family of spectacle lenses,
• wherein the front spectacle lens surface is selected from that group of front spectacle lens surfaces which contains the prescription-based spherical power and the atoric rear spectacle lens surface is selected from the group of rear spectacle lens surfaces which is assigned to the group of front spectacle lens surfaces in which the selected aspherical, rotationally symmetrical front spectacle lens surface is located.

A computer-implemented method for designing a family of spectacle lenses, the method comprising:

• specifying a number of prescription-based spherical powers and a number of prescription-based astigmatic powers;
• and
• determining, for each combination of a specific spherical power from the number of prescription-based spherical powers with a specific astigmatic power from the number of prescription-based astigmatic powers, in each case a spectacle lens with a rotationally symmetrical front spectacle lens surface and an atoric rear spectacle lens;
• forming groups of rotationally symmetrical front spectacle lens surfaces such that each group of rotationally symmetrical front spectacle lens surfaces contains a number of different rotationally symmetrical front spectacle lens surfaces;
• forming groups of atoric rear spectacle lens surfaces such that each group of atoric rear spectacle lens surfaces contains a number of atoric rear spectacle lens surfaces;
• assigning each group of atoric rear spectacle lens surfaces to a group of rotationally symmetrical front spectacle lens surfaces;
• and
• assigning each combination of an atoric rear spectacle lens surface from a group of atoric rear spectacle lens surfaces with a rotationally symmetrical front spectacle lens surface from the assigned groups of rotationally symmetrical front spectacle lens surfaces to a spectacle lens of the family of spectacle lenses,
• wherein for each of the atoric rear spectacle lens surfaces, a deviation of a curvature of the respective atoric rear spectacle lens surface from the circular shape in at least one principal section is determined for a value for the distance a between a vertex of the rear spectacle lens surface and the center of rotation of the eye that lies in a range between 15 and 40 mm such that at every point of a region of the spectacle lens situated within a radius of 25 mm around a geometrical center of the spectacle lens an upper limit of the total deviation RMS=Sqrt (SphAbw2+(astAbw/2)2) of the prescription-based effect is not exceeded,
• wherein an upper limit of the total deviation is given by
• 0.25 D−MIN[(0.05·Sph−0.1·|Zyl|);0], and
• wherein
• Sph denotes a sphere value of the prescription-based spherical power,
• Zyl denotes a cylinder value of the prescription-based astigmatic power, which can assume a value of zero or a negative value,
• |Zyl| denotes an absolute value of the cylinder value,
• sphAbw denotes a deviation of the prescription-based spherical power of the spectacle lens from the spherical power actually achieved with the spectacle lens,
• astAbw denotes the deviation of the prescription-based astigmatic power of the spectacle lens from the astigmatic power actually achieved with the spectacle lens, and
• MIN denotes a minimum function.

A non-volatile computer-readable storage medium with instructions stored thereon for designing a family of spectacle lenses, the instructions, when executed on a computer, causing the computer to:

• specify or record a number of prescription-based spherical powers and a number of prescription-based astigmatic powers;
• determine for each from the combination of a specific spherical power from the number of prescription-based spherical powers with a specific astigmatic power from the number of prescription-based astigmatic powers in each case a spectacle lens with a rotationally symmetrical front spectacle lens surface and an atoric rear spectacle lens surface;
• form groups of rotationally symmetrical front spectacle lens surfaces in such a way that each group of rotationally symmetrical front spectacle lens surfaces contains a number of different rotationally symmetrical front spectacle lens surfaces;
• form groups of atoric rear spectacle lens surfaces in such a way that each group of atoric rear spectacle lens surfaces contains a number of atoric rear spectacle lens surfaces;
• assign each group of atoric rear spectacle lens surfaces to a group of rotationally symmetrical front spectacle lens surfaces;
• and
• assign each combination of an atoric rear spectacle lens surface from a group of atoric rear spectacle lens surfaces with a rotationally symmetrical front spectacle lens surface from the assigned groups of rotationally symmetrical front spectacle lens surfaces to a spectacle lens of the family of spectacle lenses,
• wherein to determine for each of the atoric rear spectacle lens surfaces the deviation of the curvature of the respective atoric rear spectacle lens surface from the circular shape in at least one principal section for a value for the distance between the vertex of the rear spectacle lens surface and the center of rotation of the eye that lies in a range between 15 and 40 mm in such a way that in such a way that, with a distance between the vertex of the rear spectacle lens surface and the center of rotation of the eye corresponding to the value, at every point of a region of the spectacle lens situated within a radius of 25 mm around the geometrical center of the spectacle lens an upper limit of the total deviation RMS=Sqrt (SphAbw2+(astAbw/2)2) of the prescription-based effect is not exceeded,
• wherein an upper limit of the total deviation is given by
• 0.25 D−MIN[(0.05·Sph−0.1·|Zyl|);0], and
• wherein
• Sph denotes a sphere value of the prescription-based spherical power,
• Zyl denotes a cylinder value of the prescription-based astigmatic power, which can assume a value of zero or a negative value,
• |Zyl| denotes an absolute value of the cylinder value,
• sphAbw denotes a deviation of the prescription-based spherical power of the spectacle lens from the spherical power actually achieved with the spectacle lens,
• astAbw denotes the deviation of the prescription-based astigmatic power of the spectacle lens from the astigmatic power actually achieved with the spectacle lens, and
• MIN denotes a minimum function.