KR20020012684A - Plane lens - Google Patents

Abstract

PURPOSE: A planar lens is provided to increase a design margin by allowing the planar lens to be manufactured large in size. CONSTITUTION: A planar lens(1) has a shape surrounded by a first round arch, a second round arch and a third round arch. The first round arch with a radius(Rs1) is centered at a central point(O1) and passes through a point(P1) on a Z axis. The second round arch with a radius(Rs3) is centered at a central point(O3) on the Z axis and passes through a point(P1') placed on a line between the point(P1) and the central point(O1) and at a distance(T) from the point (P1), wherein the distance(T) represents a thickness of the lens. The third round arch with a radius(Rs4) connects an external end of the first round arch to that of the second round arch, wherein Rs1>Rs3>Rs4.

Description

Plane lens

The present invention relates to a planar lens used as an eye protection lens used for dustproof safety glasses, sun protection glasses, ski goggles, and the like.

6A, 6B and 6C, these diagrams show a conventional planar lens formed with an outer surface and an inner surface, where FIG. 6A is a sectional view of plane xy, FIG. 6B is a sectional view of plane xz, and FIG. 6C is a view of plane yz. It is a cross section. The conventional planar lens 101 is formed of an outer surface 102 and an inner surface 103 each having a radius of R ₁ and R ₂ and formed into a spherical surface. The center O ₂ of the radius R1 is at a point on the z 'axis by the distance to the lens thickness from point O _{1 which} is the center of the radius R ₁ . Here, when R ₁ = R ₂ , the thickness tx becomes thinner toward its outer circumference. When coinciding at the point Pe, the lens functions as a convex lens instead of a planar lens. Accordingly, the radius of the outer surface 102 and the radius of the inner surface 103 have a relationship of R ₁ > R ₂ . 7A, 7B, and 7C show conventional planar lenses having a radius R _s1 and a radius R _s2 of the outer surface 112 and the inner surface 113, respectively, on the xx 'axis. FIG. 6A is a sectional view of the plane xy, FIG. 6B is a sectional view of the plane xz, and FIG. 6C is a sectional view of the plane yz. Figure 7a, 7b, as a planar lens 111 as shown in 7c, the radius R _s1 and R _s2 of each outer surface 112 and inner surface 113 on the axis xx 'is they are different than the radius R _c1 and R _c2 R _c1> R _c2 > R _s1 > R _s2 . Moreover, if the radii R ₁ and R ₂ (= R ₁ -T) of the outer and inner surfaces, respectively, are concentric arcs, the curvature becomes large and thus cannot be formed as planar lenses.

In conventional planar lenses, the radii of the inner and outer surfaces are different from each other. The focus will therefore be different. This becomes more apparent with larger lenses. Therefore, conventional lenses have a narrow field of view and are not suitable for making large, thus limiting design freedom. However, if this planar lens functions as safety dust-proof glasses, you will find that the size is too small. Moreover, an image leap occurs, and therefore, it is not suitable for use as an eye mask for a motorcycle driver, and since the field of view is narrow, safety for driving cannot be maintained.

In order to solve the above problem, the present invention provides a planar lens having a shape surrounded by a first circular arc, a second circular arc, and a third circular arc. The first circular arc with radius R _s1 is centered on the origin O ₁ center and passes through point P ₁ on the z axis, and the second circular arc with radius R _s3 is centered on O ₃ center on the z axis and The third circle with points P ₁ to P ₁ ′, point P ₁ ′ on a line segment between point P ₁ and origin O ₁ , having a distance of thickness T of the lens from point P ₁ , and having a radius R _s4; The arc connects the two outer ends of the second circular arc and R _s1 > R _s3 > R _s4 .

In order to solve the above problem, the present invention provides a planar lens having a shape surrounded by a first circular arc, a second circular arc, and a third circular arc. The first circular arc with radius R _s1 is centered on the origin O ₁ center and passes through point P ₁ on the z axis, and the second circular arc with radius R _s3 is centered on O ₃ center on the z axis and Passing through point P ₁ ′, point P ₁ ′ is along the line from point P ₁ to the origin O ₁ and is outside of P ₁ (further away from point O ₁ ) and the thickness of the lens from point P ₁ The third circular arc having a distance of T and having a radius R _s4 is connected to two outer ends of the second circular arc and R _s4 > R _s3 > R _s1 .

In order to solve the above problem, the present invention provides a planar lens having a shape surrounded by a basic circular arc, a first circular arc, a second circular arc, a third circular arc, and a fourth circular arc. The basic circular arc with radius R _s1 is centered on the origin O ₁ center and passes through point P ₁ on the z axis. Is from that of the first circular arc having a radius R _s3 has along the line from P ₁ to the reference point O ₁ to the point P ₁ away (further away from the origin O ₁₎ point P ₁ '. The second circular arc with radius R _s4 is at both ends of the first circular arc, and the third circular arc with radius R _s3 + T is centered around point O ₃ and passes through point P ₁ , the radius The fourth circular arc with R _s4 + T is at both ends of the third circular arc and R _s1 > R _s3 > R _s4 .

In order to solve the above problem, the present invention provides a planar lens having a shape surrounded by a basic circular arc, a first circular arc, a second circular arc, and a third circular arc. The basic circular arc with radius R _s1 is centered on the origin O ₁ center and passes through point P ₁ on the z axis, the first circular arc with radius R _s3 along the line from P ₁ to origin O ₁ The second circular arc from point P ₁ ′ away from P ₁ (closer to origin O ₁ ), having a radius R _s4 , is at both ends of the first circular arc and has a radius R _s3 + T. a third circular arc, and the center point O ₃ center points P ₁ 'points in the side close to the phase line between the have a thickness T of the lens reference point O ₁ and the point P _1, however, the origin O ₁ to P _1' And a fourth circular arc having a radius R _s4 -T at both ends of the third circular arc, where R s ₁ > R _{s 3} > R s ₄ .

Various objects and advantages of the present invention will be readily understood from the following detailed description when read in conjunction with the accompanying drawings.

1 is a schematic view of a planar lens in a first embodiment of the present invention.

2 shows a lens in a second embodiment of the present invention;

3 shows a lens in a third embodiment of the present invention;

4 shows a lens in a fourth embodiment of the present invention;

5A, 5B, and 5C are schematic cross-sectional views of a dust-proof spectacle flat lens suitable for the present invention; FIG. 5A is a cross-sectional view of a plane x-z, FIG. 5B is a cross-sectional view of a plane x-y, and FIG.

6A, 6B, and 6C show conventional planar lenses formed with an outer surface and an inner surface, and FIG. 6A is a sectional view of plane x-y, FIG. 6B is a sectional view of plane x-z, and FIG. 6C is a sectional view of plane y-z.

7A, 7B and 7C show a conventional planar lens having a radius R _s1 and a radius R _s2 of the outer surface 112 and the next year 113 in the xx 'axis, respectively, and FIG. 7A is a sectional view of the plane xy, FIG. 7B is a sectional view of the plane xz, and FIG. 7C is a sectional view of the plane yz. FIG.

<Explanation of symbols for the main parts of the drawings>

1: planar lens 2: outer surface

3: inside 5: plane lens

7: inside 12: outside

15: flat lens 21: glasses lens

22: outside 23: inside

An embodiment of the present invention is described next.

1 is a schematic view of a planar lens 1 in the first embodiment of the present invention. In this planar lens 1, O ₁ is the origin, the xx 'axis, the yy' axis (perpendicular to the plane of the drawing), and the zz 'axis are three-dimensional axes. The outer surface 2 protruding from the xx 'axis and the y-y' axis is the circular surface of the first round arc with the radius R s ₁ and the center of the origin O ₁ . The inner surface 3 is a concave surface formed by a second circular arc 3a having a center of radius R _s3 and O ₃ and a third circular arc having a center of radius R _s4 and O ₄ , where R _s1 > R _s3 > R _s4 .

Here, points O ₃ and O ₄ are obtained in the following manner. First, at the vertex of the first circular arc 2a of radius R _s1 , that is, the point P ₁ of the first circular arc 2a intersecting the z axis, the point P ₁ ′ is moved toward the origin O ₁ at the position leaving the thickness of the lens. Obtained. Next, the peak point P ₁ is O ₂ are obtained from the O ₁ toward the origin at the position away from the thickness T. Next, draw a straight line s ₁ past the origin O ₂ and parallel to the xx 'axis. On the other hand, a circular arc C having a radius R _s2 (R _s1 -T) is drawn about the origin O ₂ and passes through the vertex P ₁ to obtain an intersection P ₂ ′. Next, a point K ₁ is obtained from the connecting line s2 of the points P ₁ ′ and P ₂ ′ and from the point P ₁ ′ which leaves the thickness of the lens T. Next, the intermediate point K ₂ of the point K ₁ and the point P ₂ ′ is obtained. Next, draw a line s3 perpendicular to the line s2, which passes through the point K ₂ . Next, points O ₃ and O ₄ can be derived from the intersections of lines s3 and z-z 'and line s1.

Here, if the lines P ₁ ′, P ₂ ′ have a length L, L can be expressed as follows.

L = (R _s2 -T) ² + R _s2 ² ] ^1/2

P ₂ 'K ₂ wire and P ₁ ' K ₂ wire is as follows,

P ₂ 'K ₂ = (L-T) / 2

P ₁ 'K ₂ = L-P ₂ ' K ₂

= L- (L-T) / 2

= (L + T) / 2

P ₁ 'O ₃ is R _s3 , each P ₁ ' O ₃ K ₂ = each P ₁ 'P ₂ ' O = θ, and R _s3 is

R _s3 = P ₁ 'K ₂ sinθ ₁

= [(L + T) / 2] / sinθ ₁

Where sinθ ₁ = (R s ₂ -T) / L

Whereas R _s3

R _s3 = (L / 2) (L + T) / (R _s2 -T).

Also, since R _s2 = R _s1 -T, R _s3 and L are

R _s3 = (L / 2) (L + T) / (R _s2 -T)

_{L = [(R s1 - 2T} ] 2 + (R s1 - T)] 1/2

It can be represented as

R _s4 is

R _s4 = R _s3 -O ₃ O ₄

= R _s3 -O ₂ O ₃ / cosθ ₁

= R _s3- (R _s3 -R _s1 + 2T) L / (R _s1 -T)

It can be represented as

Here, in the first embodiment, the planar lens 1 is compared with the lens having the concentric circular arc of the prior art, so that the radius R _s1 of the first circular arc 2a along the outer surface 2 of the planar lens 1 is determined. Assuming that the outer surface of the concentric circular arc lens has a radius R _s1 of 100 mm, the thickness of the two lenses has a refractive index Nd of 1.523 and the diopter D of the lens is 2 mm.

D = 1000 (Nd-1) / R

Becomes

In the first embodiment, the outer surface 2 and the inner surface 3 of the planar lens 1 have diopters D1 and D2 listed in Table 2.

Table 1 Planar Lens of the Present Invention

R _s1 R _s2 R _s3 R _s4 L T D1 D2 Difference 100 98 99.47 94.62 137.2 2 5.23 5.26 -0.03

Table 2 Lenses with Concentric Circular Arcs

R _s1 R _s2 T D1 D2 Difference 100 98 2 5.23 5.34 -0.11

It can be seen from Table 1 and Table 2 that the difference of the present invention is smaller than that of the prior art, and thus the present invention has an excellent characteristic and is an ideal planar lens. Moreover, the outer surface 2 and the inner surface 3 of the planar lens 1 are not concentric and do not belong to the same radius. Therefore, the thickness of the lens is approximately uniform without any variation. Therefore, the planar lens 1 can be made large.

2 shows a lens 5 in a second embodiment of the invention. In the first embodiment, the planar lens 1 has an outer surface 2 of a concave surface formed by a circular arc having a radius R _s1, and an inner surface is a convex surface formed by a compound circular arc having two radii of R _s3 and R _s4 . In contrast, the lens 5 of this second embodiment is a convex surface formed of a composite arc having two radiuses R _{s 3} and R _s4 , and the inner surface 7 is a concave surface having a circular arc having a radius R _s1 .

In other words, in this planar lens 5, the inner surface 7 is viewed from the xx 'axis, the y-y' axis (vertical of the drawing surface) and the z-z 'axis in the cross-sections of the x-x' axis and the z-z 'axis. ) Is a concave surface formed with a first circular arc 7a centering on the point O1 and having a radius R _s1 . Moreover, the outer surface 6 is a convex surface formed of a third circular arc 6b centered on a point O ₄ and having a radius R _s4 . Here, the radius of each circular arc has a relationship of R _s4 > R _s3 > R _s1 .

Here, obtaining points O ₃ and O ₄ will be described next. First, to obtain a first circular arc (7a) and the z axis the intersection point P _1. Subsequently, the lens thickness is to decrease the length T and the obtained points P ₁ 'by the point P ₁ along the z-axis. Next, O ₂ along the positive z axis and with a distance T from point O ₁ is obtained. Next, a straight line s parallel to the xx 'axis and passing through O ₁ is obtained. Next, a circular arc C with a radius R _s2 (R _s2 + 2T) around O ₂ is obtained. P ₂ ′ is defined as the intersection of the circular arc c and the straight line s. Next, a point P '' along the straight line s with a distance T from P ₂ ′ towards the point O ₂ is obtained. Next, the points P ₁ 'and P ₂ ' are connected to obtain a line s2. Next, a point K ₁ is obtained which is on line s2 and has a distance T from P ₂ ″ towards the point P ₁ ′. Next, the intermediate point K ₂ which is the intermediate point between the point K ₁ and the point P ₁ ′ is obtained. Next, draw a line s2 perpendicular to the line s2 and passing through the point K ₂ . Next, points O ₃ and O ₄ are obtained where the lines s2 and z-z 'axes and the lines s1 are intersections, respectively.

In this second embodiment, the planar lens 5 is the same as the first embodiment, whereas the circular arc formed by the outer surface 6 and the inner surface 7 is not concentric and has a different radius. Therefore, the thickness of the lens is approximately the same. Therefore, the planar lens can be made large.

3 shows the planar lens 3 in the third embodiment of the present invention. In this planar lens 3, the inner surface 13 is a compound concave surface formed of a continuous first circular arc 13a and a second circular arc 13b having radiuses _Rs3 and _Rs4 . The outer surface 12 is a compound convex surface having a third circular arc 13a and a fourth circular arc 13b having a radius of R _s3 + T and R _s4 + T. Here, the radii of the circular arcs have a relationship R _{s 1} > R _{s 3} > R s ₄ .

In the planar lens 11, the basic circular arc B has the center of origin O ₁ and the radius R _s1 . From this basic circular arc B and using the same manner as in the first embodiment, points O ₃ and O ₄ are obtained and the first circular arc 13a and point centered on point O ₃ and having a radius R _s3 A concave surface of the inner surface 13 is obtained by drawing a second circular arc 13b centered on O ₄ and having a radius R _s4 . Furthermore, the concave surface of the outer surface 12 is a third circular arc 12a centered on point O ₃ and having a radius R _s3 + T and a fourth circular arc centering on point O ₄ and having a radius R _s4 + T Can be obtained by drawing (12b).

In this second embodiment, the planar lens 11 is the same as the first embodiment, and circular arcs formed by the outer surface 12 and the inner surface 13 are not concentric and have different radii. Therefore, the thickness of the lens is approximately the same. Therefore, the planar lens can be made large.

4 shows the planar lens 15 in the fourth embodiment of the present invention. In the above-described third embodiment, the convex surface formed by the composite circular arc of the third circular arc 12a and the fourth circular arc 12b has a first circular arc having a radius R _s1 and a second circular arc having a radius R _s4 . It is on the outer side of the concave surface formed by the composite circular arc of 13b. On the other hand, in this fourth embodiment, in the planar lens 16, the concave surface formed by the composite circular arc of the third circular arc 17a and the fourth circular arc 17b has a first circular arc (having a radius R _s3 ). there 16a) and the compound of the circular second wonhyeongho (16b) having a radius R _s4 arcs on the outside of the convex surface formed. That is, from the basic circular arc B, a first circular arc 16a with a radius R _s3 around the point O ₃ is obtained and a second circular arc with the radius R _s4 centered on the point O ₄ ( 16b) is obtained. Thus, the convex surface of the outer surface is obtained. Next, a third circular arc (17a) around the point O ₃ and having a radius R _s3 -T is obtained, a fourth circular arc (17b) around the point O and having a radius R ₄ -T _s4 is Obtained.

In this embodiment, the planar lens 15 is the same as the first embodiment and the circular arcs formed by the outer surface 16 and the inner surface 17 are not concentric and have different radii. Therefore, the thickness of the lens is approximately the same. Therefore, the planar lens 15 can be made large.

5A, 5B and 5C are schematic cross sectional views of a dustproof flat lens suitable for the present invention, FIG. 5A is a sectional view of a plane xz, FIG. 5B is a sectional view of a plane xy, and FIG. 5C is a sectional view of a plane yz. . In this lens 21, the origin O ₁ is concentric at the center of the head 30 of a person. The xx 'axis is along the pupils of both eyes, the yy' axis is along the length of the head, and the z-z 'axis is along the front and back directions. The cross section formed by the x-x 'axis and the z-z' axis is the same as the outer surface 22 in the first embodiment, which is formed by a convex surface formed by a first circular arc centered on the origin O ₁ and having a radius R _s1 . . Moreover, the inner surface 23 is a composite circular arc formed of a second circular arc centered on the origin O ₃ and having a radius R _s3 and a third circular arc centered on the origin O ₄ and having a radius R _s4 . The cross section formed by the y-y 'axis and the z-z' axis is a convex surface 23 having a circular arc R _c1 , and the inner surface 23 is a concave surface having a circular arc R _c2 . R _c1 and R _c2 of the outer surface 22 and the inner surface 23 on the y-y 'and z-z' axes can be set as desired and only need to be a plane along the face.

Viewed from the front of the lens, i.e., in the plane of the x-x 'and y-y' axes of the spectacle lens 21, the transverse size of the spectacles is from 100 to 180 mm and the longitudinal length is from 70 to 100 mm. The upper edge is bent upwards and the lower edge is bent downwards. Moreover, the U-shaped notch is formed to expose the nose. In FIG. 3, the antivibration spectacle flat lens 21 has a portion sized around the eyes, in particular, the part along the y-y 'axis, and thus the dustproof function is improved. Moreover, even if the portion on the x-x 'axis becomes larger, no disturbances occur, and thus it is suitable for use in motorcycle eye masks and has a wide field of view, thus keeping driving safe.

Therefore, the planar lens of the present invention can be made large and the design margin can be increased.

Therefore, in the present invention, it will be appreciated that the composite circular arc formed by the circular arc and the circular arc of radius R _s4 has a cross section with respect to the xz plane about the point O ₁ , so that the width of the planar lens is uniform and there is almost no variation. . Therefore, no phase jump will take place. The planar lens of the present invention can be made large so that the design margin can be increased.

Although the invention has been described with reference to the preferred embodiments, it will be understood that the invention is not limited to the described details. Various alternatives and modifications have been proposed in the foregoing description and others will occur to those skilled in the art. Therefore, all such alterations and modifications are intended to be included within the scope of the invention as defined in the appended claims.

Claims (4)

A planar lens having a shape surrounded by a first circular arc, a second circular arc, and a third circular arc, wherein the first circular arc having a radius R _s1 is centered on the origin O ₁ center and passes through a point P ₁ on the z axis. To; 'And passing through the point P _1' and the second circular arc having a radius R _s3 is the point P ₁ about the O ₃ centered on the z axis is in the cross point P ₁ and the reference point O ₁ line segment points from P ₁ Has a distance of thickness T of the lens; And said third circular arc having a radius R _s4 extends between two outer ends of said second circular arc, wherein R _s1 > R _s3 > R _s4 . A planar lens having a shape surrounded by a first circular arc, a second circular arc, and a third circular arc, wherein the first circular arc having a radius R _s1 is centered on the origin O ₁ center and passes through a point P ₁ on the z axis. To; The second circular arc having a radius R _s3 is about the O ₃ centered on the z-axis, and point "and passing through the points P _1, P ₁ is located along the line from point P ₁ to the origin O ₁ as well as P _Is outside of ₁ (more from point O ₁ ) and has a distance of thickness T of the lens from point P ₁ ; And said third circular arc having a radius R _s4 extends between two outer ends of said second circular arc, wherein R _s4 > R _s3 > R _s1 . A planar lens having a shape surrounded by a basic circular arc, a first circular arc, a second circular arc, a third circular arc, and a fourth circular arc, wherein the basic circular arc having a radius R _s1 is centered on the origin O ₁ center and z. Passes through point P ₁ on the axis; And from that of the first circular arc having a radius R _s3 has along the line from P ₁ to the reference point O ₁ to the point P ₁ away (further away from the origin O ₁₎ point P ₁ '; The second circular arc having a radius R _s4 is at two ends of the first circular arc; The third circular arc with radius R _s3 + T is centered on point O ₃ center and passes through point P ₁ ; A fourth circular arc having a radius R _s4 + T is at both ends of the third circular arc; A planar lens, wherein R _s1 > R _s3 > R _s4 . A planar lens having a shape surrounded by a basic circular arc, a first circular arc, a second circular arc, and a third circular arc, wherein a basic circular arc having a radius R _s1 is centered on the origin O ₁ center and is a point P ₁ on the z axis. Passing through; And from the first circular arc having a radius R _s3 is along the line from P ₁ to the reference point O ₁ to the point P _1, and that (more close to the origin O ₁₎ away from point P ₁ '; The second circular arc having a radius R _s4 is at two ends of the first circular arc; The third circular arc with radius R _s3 + T is centered on point O ₃ center, has a thickness T of the lens up to point P ₁ ′ and is on the line connecting origin O ₁ and point P ₁ but close to origin O ₁ Passing through the point P ₁ ″ on the side; A fourth circular arc having a radius R _s4 -T is at two ends of the third circular arc; A planar lens, wherein R _s1 > R _s3 > R _s4 .