The present disclosure relates to a spectacle lens and a manufacturing method of the spectacle lens.
It is known that adding a base in prism deflecting light toward a nose of a user, in an amount that corresponds to a viewing distance converted into diopters supports the age-related decline in convergence power and reduces fatigue level. It is also known that astigmatism occurs due to distortion of a lens surface upon addition of the base in prism depending on the viewing distance. For example, Patent Literature 1 proposes that the addition prism curve is replaced with a smooth monotonically increasing curve to reduce aberrations.
An embodiment of the present disclosure is to provide a technique capable of reducing third-order aberration in a spectacle lens to which a base in prism deflecting light toward a nose of a user is added depending on a viewing distance.
A first aspect of the present disclosure provides a spectacle lens to which a base in prism deflecting light toward a nose of a user is added, wherein the spectacle lens has a reverse prism slope that has a sign opposite to a sign of an addition prism slope on a progressive zone at least in a distance side region of the addition prism curve expressed as a function of vertical coordinates on a spectacle lens, and an absolute value of the reverse prism slope is larger than 0.014 times the absolute value of the addition prism slope on the progressive zone.
A second aspect of the present disclosure provides the spectacle lens according to the first aspect,
A third aspect of the present disclosure provides the spectacle lens according to the first or second aspect,
A fourth aspect of the present disclosure provides the spectacle lens according to the third aspect,
A fifth aspect of the present disclosure provides the spectacle lens according to any one of the first to fourth aspects,
A sixth aspect of the present disclosure provides the spectacle lens according to any one of the first to fifth aspects,
A seventh aspect of the present disclosure provides a manufacturing method of a spectacle lens to which a base in prism deflecting light toward a nose of a user is added, including:
According to an embodiment of the present disclosure, third-order aberration can be reduced in a spectacle lens to which a base in prism deflecting light toward a nose of a user is added depending on the viewing distance.
First, the knowledges obtained by the inventor will be described.
In the present specification, in the vertical direction of the spectacle lens, the upper side is expressed as positive and the lower side is expressed as negative, and in the horizontal direction of the spectacle lens, the ear side of a user is expressed as positive and the nose side is expressed as negative. The origin position is, for example, the center of the lens (at least any one of geometrical center, optical center, and centering center).
The method described in Patent Literature 1 and the like optimizes only astigmatism on the principal meridian caused by distortion of the lens surface. After the base in prism is added, however, it has less significance because the line of sight does not pass on the original principal meridian anyway. Note that, in the present specification, the principal meridian refers to a line formed of areas on the spectacle lens through which the lines of sight pass when the user wearing the spectacle lens moves the line of sight from above to below. This principal meridian forms the basis for designing the spectacle lens.
The investigation by the present inventor revealed that as the umbilical point is shifted toward the nose by the base in prism, the position through which the line of sight passes is also shifted toward the nose. More specifically, it is found that the line of sight tends to pass on a midpoint between the original principal meridian and the umbilical point that has been shifted. Based on this, the present inventor has discovered a novel problem in a spectacle lens to which a base in prism is added. In other words, there is a problem that when the position through which the line of sight passes is shifted closer to the nose, the power becomes more insufficient in the distance side region (excessive power in the near side region). There is also a problem that as the power changes in the position through which the line of sight passes, the amount of the added base in prism becomes excessive in the distance side region (insufficient in the near side region).
In
The present inventor has studied intensively, particularly focusing on the third-order aberration described above. As a result, it is found that the above-described problem can be solved by designing so that the spectacle lens has a reverse prism slope that has a sign opposite to a sign of an addition prism slope on a progressive zone at least in a distance side region of the addition prism curve expressed as a function of vertical coordinates on the spectacle lens.
As can be seen from
Next, an embodiment of the present disclosure will be described hereafter, with reference to the drawings. The present disclosure is not limited to these examples, but is indicated by the claims, which are intended to include all changes within the meaning and scope equivalent to the claims.
In the present specification, the “horizontal direction” is the 0° or 180° direction in defining the astigmatic axis and the prism base direction, and an example, when the horizontal direction that matches with the direction of the horizontal reference line connecting two alignment reference marks (so-called engraving marks) for fitting the lens into the frame, will be described. The horizontal reference line in this embodiment refers to a line that extends horizontally at a midpoint between the upper vertex and the lower vertex of the spectacle lens (lens before being fitted into the frame). In this embodiment, an example of disposing the engraving marks, so that the principal meridian passes through the center of the horizontal reference line connecting the two engraving marks, will be described.
In this embodiment, the principal meridian in the progressive power lens may be defined as a line connecting the distance power measurement point and the near power measurement point.
First, the configuration of the spectacle lens of this embodiment will be described. The spectacle lens of this embodiment includes a portion (progressive zone) in which a refractive power changes continuously, for example, in a part or all of the progressive power lens. The spectacle lens has an optical surface formed on the object side based on a predetermined design. Examples of the spectacle lens may include not only a so-called finished lens that has a predetermined optical surface on the surface on the eyeball side as well, but also a semi-finished lens whose surface on the eyeball side can be further polished according to the prescription to obtain a finished lens. The progressive power lenses generally encompass lenses called bifocal lenses, occupational lenses, near vision lenses, and accommodation support lenses, as well. A base in prism, which will be described later, may be added to either the object side or the eyeball side. There is no particular restriction on whether it is added to the progressive surface side or not.
The base in prism deflecting light toward the nose of the user is added to the spectacle lens of this embodiment depending on the viewing distance. In other words, in the spectacle lens of this embodiment, the amount of the base in prism that is added changes depending on the viewing distance. For example, the amount of the base in prism in the near side region is larger than the amount of the base in prism in the distance side region. The base in prism is useful, for example, when a user with poor convergence power looks at a nearby object. In the spectacle lens of this embodiment, for example, the difference between the maximum value and the minimum value of the amount of the base in prism that is added is preferably 0.25 Δ(prism diopter) or more, and more preferably 1 Δ or more. In this case, the above-described power variation that occurs associated with shifts of the position through which the line of sight passes is more likely to affect visibility of the spectacle lens. Accordingly, the effect of the present disclosure is more remarkable. Note that the upper limit of the difference between the maximum value and the minimum value of the amount of the base in prism that is added is not particularly limited, but is 6 Δ or less (or 2 Δ or less), for example.
The spectacle lens of this embodiment has a reverse prism slope that has a sign opposite to a sign of an addition prism slope on a progressive zone at least in a distance side region of the addition prism curve expressed as a function of vertical coordinates on the spectacle lens. In this specification, the distance side region of the addition prism curve means the region above the position (or progressive zone) where the slope of the addition prism curve is maximum, and the near side region means the region below the position (or progressive zone) where the slope of the addition prism curve is maximum. The addition prism slope on the progressive zone may also be the maximum value of the slope of the addition prism curve.
However, simply giving a reverse prism slope to the distance side region of the addition prism curve may not reduce the absolute value of the curvature of the addition prism curve compared to the case where the addition prism curve is a monotonically increasing curve. In order to reduce the absolute value of the curvature of the addition prism curve and reduce third-order aberrations, the amount of reverse prism slope given has to be properly controlled. Specifically, the spectacle lens of this embodiment preferably satisfies the following conditions A, B, and C.
The addition prism curve, as illustrated in
The fact that the minimum value/maximum value of the slope of the addition prism curve is positive means that the minimum and maximum values of the slope of the addition prism curve have the same sign. In other words, the region Z3 illustrated in
As illustrated in
On the other hand, in region Z5, the maximum curvature of the addition prism curve is smaller than that in a case where q=0. That is, in a case where q>0.9 (region Z5), the absolute value of the curvature of the addition prism curve is smaller than that in a case where the addition prism curve is a monotonically increasing curve. For example, the addition prism curve where q=1.1 illustrated in
In region Z5, there is a one-to-one correspondence between the value of q and the minimum value/maximum value of the slope of the addition prism curve, so q>0.9 can be expressed as the minimum value/maximum value of the slope of the addition prism curve being less than −0.014. The minimum value/maximum value of the slope of the addition prism curve can also be expressed as the reverse prism slope/addition prism slope on the progressive zone. Accordingly, in region Z5, the absolute value of the reverse prism slope is larger than 0.014 times the absolute value of the addition prism slope on the progressive zone. Therefore, when the absolute value of the reverse prism slope is larger than 0.014 times the absolute value of the addition prism slope on the progressive zone, the absolute value of the curvature of the addition prism curve is smaller than that in a case where the addition prism curve is a monotonically increasing curve, which can be said to reduce third-order aberrations.
As for Condition A, it has been explained that third-order aberrations can be reduced when the absolute value of the reverse prism slope is larger than 0.014 times the absolute value of the addition prism slope on the progressive zone. On the other hand, when the absolute value of the reverse prism slope is too large, oblique astigmatism may occur, which may adversely affect the visibility of the spectacle lens. The following is a description of a preferred range of the reverse prism slope to ensure that oblique astigmatism due to the reverse prism slope does not adversely affect the visibility of the spectacle lens.
Generally, astigmatism is prescribed in units of 0.25 D. Accordingly, when the astigmatism is less than half the amount, 0.125 D, the effect on the visibility of the spectacle lens is considered to be almost negligible. Based on the relation: amount of astigmatism generated due to reverse prism slope (D)=2×10×reverse prism slope (Δ/mm), it can be said that when the absolute value of the reverse prism slope is less than 0.00625 Δ/mm, the amount of the astigmatism generated due to the reverse prism slope can be reduced to less than 0.125 D. Therefore, it is preferable that the absolute value of the reverse prism slope is less than 0.00625 Δ/mm in order to prevent oblique astigmatism due to the reverse prism slope from adversely affecting the visibility of the spectacle lens.
Conditions for the reverse prism slope explained for Condition A and Condition B are preferably satisfied both on the principal meridian and “on a line which passes through a farthest umbilical point from the principal meridian among umbilical points that have been shifted toward the nose of the user by the base in prism and is parallel to the principal meridian.” To avoid complexity, “on a line which passes through a farthest umbilical point from the principal meridian among umbilical points that have been shifted toward the nose of the user by the base in prism, and is parallel to the principal meridian” is herein referred to as “on an umbilical point that has been shifted toward the nose of the user by the base in prism” or “on the shifted umbilical point”. In other words, both on a principal meridian of the spectacle lens and on an umbilical point that has been shifted toward the nose of the user by the base in prism, the absolute value of the reverse prism slope is preferably larger than 0.014 times the absolute value of the addition prism slope on the progressive zone. Further, both on a principal meridian of the spectacle lens and on an umbilical point that has been shifted toward the nose of the user by the base in prism, the absolute value of the reverse prism slope is preferably less than 0.00625 Δ/mm. Note that the umbilical point in this embodiment is a region surrounded by contour lines with the smallest astigmatism in the astigmatism distribution map. However, this does not apply to regions where astigmatism is locally reduced due to machining errors or the like.
As described above, when the umbilical point is shifted toward the nose, the line of sight tends to pass on a midpoint between the original principal meridian and the shifted umbilical point. Therefore, Condition A (or Condition B) being satisfied both on the principal meridian of the spectacle lens and on the umbilical point shifted toward the nose of the user by the base in prism means that the effect of Condition A (or Condition B) being satisfied is maintained even when the position through which the line of sight passes is shifted toward the nose of the user.
Next, the amount of umbilical point shift will be explained, which indicates how much the umbilical point is shifted from the original principal meridian when it is shifted toward the nose by the base in prism. The amount of umbilical point shift is expressed as amount of astigmatism generated by base in prism (D)/astigmatism slope in horizontal direction of spectacle lens (D/mm). In addition, the amount of umbilical point shift can be calculated using a relation equation: amount of umbilical point shift (mm)=10×addition prism slope on progressive zone (Δ/mm)/addition power slope (D/mm), derived from relation equations: amount of astigmatism generated by base in prism (D)=2×10×addition prism slope on progressive zone (Δ/mm) and astigmatism slope in horizontal direction of spectacle lens (D/mm)=2× addition power slope (D/mm). “On the umbilical point shifted toward the nose of the user by the base in prism” can be specified by translating the principal meridian toward the nose by (the maximum value of) the amount of umbilical point shift.
Note that the spectacle lens may or may not have a reverse prism slope in the near side region of the addition prism curve. With a reverse prism slope in the near side region, it is preferable that Condition A, Condition B, and Condition C described above be satisfied for the reverse prism slope in the near side region as well. Further, as indicated by the solid line in
A manufacturing method of the spectacle lens of this embodiment will be described below. Hereinafter, for the content not described in the present specification, a known technology may be employed.
In the preparation step, preparation is performed for the subsequent design step. A first preparation is acquiring information required for designing the spectacle lens. The information related to the spectacle lens is roughly divided into: item-specific information which is data unique to a lens item; and user-specific information which is data unique to a user. The item-specific information includes information on a refractive index n of the lens material, and progressive surface designing parameters represented by the progressive zone length. The user-specific information includes information on the distance power (e.g., spherical power S, cylinder power C, astigmatic axis AX, prism power P, prism base direction PAX), addition power ADD, layout data (e.g., distance PD, near PD, eye point position), frame shape, and parameters on the positional relation between the frame and eyes (forward tilting angle, camber angle, distance between vertexes).
In the design step, spectacle lens is designed based on the information acquired in the preparation step. The design step includes a prism design step of designing a shape of the base in prism. In the prism design step, the shape of a base in prism is designed so that the spectacle lens has a reverse prism slope that has a sign opposite to a sign of an addition prism slope on the progressive zone at least in a distance side region of the addition prism curve expressed as a function of vertical coordinates on the spectacle lens.
In the prism design step, the shape of the base in prism is preferably designed to satisfy Condition A, Condition B, and Condition C described above. That is, in the prism design step, the absolute value of the reverse prism slope is preferably designed to be larger than 0.014 times the absolute value of the addition prism slope on the progressive zone. In addition, both on a principal meridian of the spectacle lens and on an umbilical point that has been shifted toward the nose of the user by the base in prism, the absolute value of the reverse prism slope is preferably designed to be larger than 0.014 times the absolute value of the addition prism slope on the progressive zone. Further, the absolute value of the reverse prism slope is preferably designed to be less than 0.00625 Δ/mm. Furthermore, both on the principal meridian of the spectacle lens and on the umbilical point that has been shifted toward the nose of the user by the base in prism, the absolute value of the reverse prism slope is preferably designed to be less than 0.00625 Δ/mm. By designing the shape of the base in prism in this way, the various effects described in (1) Configuration of spectacle lens can be obtained. Note that the present disclosure can be effective not only as a manufacturing method of a spectacle lens but also as a design method of a spectacle lens.
In the manufacturing step, the spectacle lens is manufactured based on the result of the design step. For a specific manufacturing method, a known method may be adopted. For example, the design data acquired in the design step is input to a processor, whereby a lens blank is processed into a spectacle lens.
Steps other than those described above (e.g., cleaning step, coating step, etc.) may of course be added, as necessary.
The spectacle lens with reduced third-order aberration can be manufactured by the above-described steps.
Although embodiments of the present disclosure have been specifically described, the present disclosure is not limited to the embodiments described above, and various modifications can be made without departing from the scope of the present disclosure.
For example, an amount of inset or a fitting point in the progressive power lens may be adjusted in consideration of the amount of umbilical point shift described above.
Next, Examples of the present disclosure will be described. These Examples are just illustrations of the present disclosure without limitation.
First, Samples 1 to 4 as spectacle lenses were prepared as follows.
Sample 1 was a progressive power lens to which no base in prism was added. The addition power slope on the progressive zone was −0.141 D/mm. The addition power slope on the progressive zone was the same for Samples 2 to 4.
Sample 2 was a progressive power lens to which a base in prism proportional to the viewing distance was added. The addition prism curve of Sample 2 is illustrated in
Sample 3 was a progressive power lens to which a base in prism was added so that the addition prism curve was a monotonically increasing curve. The addition prism curve of Sample 3 is illustrated in
Sample 4 was a progressive power lens to which a base in prism was added so that the lens had a reverse prism slope in the distance side region of the addition prism curve. The addition prism curve of Sample 4 is illustrated in
For Samples 1 to 4, the power (Power) distribution, astigmatism (AS) distribution, and third-order aberration (3rd) distribution were measured. The results for Sample 1 are illustrated in
As can be seen from
In addition, for Samples 2 to 4, base in prism, power, astigmatism, and third-order aberration were measured at the position through which the line of sight passes (on the midpoint between the principal meridian and the shifted umbilical point) in consideration of the umbilical point. The results for Sample 2 are illustrated in
As can be seen from
Thus, it is confirmed that an appropriate amount of reverse prism slope provided in the distance side region of the addition prism curve reduces third-order aberrations, and also reduces the power decrease in the distance side region due to the shift of position, through which the line of sight passes, toward the nose.
Number | Date | Country | Kind |
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2021-094961 | Jun 2021 | JP | national |
This application is the National Stage of International Application No. PCT/JP2022/013873, filed Mar. 24, 2022, which claims priority to Japanese Patent Application No. 2021-094961, filed on Jul. 7, 2021, and the contents of which is incorporated by reference.
Filing Document | Filing Date | Country | Kind |
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PCT/JP2022/013873 | 3/24/2022 | WO |