Optical element and display device

1. An optical element comprising a substrate and a resin and satisfies the following formula:

RT max/ RT min≤9/5  Formula (1)

wherein RTmin represents the resin thickness at the thinnest regions of a major patterned component that is made of the resin, and RTmax represents the resin thickness at the thickest regions of the major patterned component which is made of the resin, and

wherein the optical element satisfies the following formula:

σ/ Es×RT max/ T< 13.0 ppm  Formula (3a)

wherein σ represents the internal stress of the resin, Es represents the Young's modulus of the substrate, and T represents the thickness of the substrate.

2. The optical element according to claim 1 , wherein the optical element satisfies the following formula:

σ/ Es×RT max/ T≤ 3.0 ppm  Formula (3b)

3. The optical element according to claim 1 ,

wherein the substrate is a glass substrate that has a thickness of 200 μm or more.

4. The optical element according to claim 1 , wherein the optical element is a lenticular lens sheet, a fly-eye lens sheet, or a Fresnel lens sheet.

5. A display device that comprises the optical element according to claim 1 .

6. An optical element comprising a substrate and a resin and satisfies the following formula:

RT max/ RT min≤9/5  Formula (1)

wherein RTmin represents the resin thickness at the thinnest regions of a major patterned component that is made of the resin, and RTmax represents the resin thickness at the thickest regions of the major patterned component which is made of the resin, and

wherein the resin has pencil hardness of 6B or softer.

7. An optical element that comprises a substrate and two or more resin laminate layers, wherein the resin laminate layers comprise a stress-release resin layer and a patterned resin layer, wherein the stress-release resin layer is disposed between the patterned resin layer and the substrate, wherein the patterned resin layer forms a major patterned component, and wherein the optical element satisfies the following formula:

RT max1 /RTrx≤ 9/5  Formula (7)

wherein RTrx represents the resin thickness of the stress-release resin layer, and RTmax1 represents the resin thickness at the thickest regions of the resin laminate layers, and

wherein the optical element satisfies the following formula:

σ1/ Es×RT max1/ T< 13.0 ppm  Formula (9)

wherein σ1 represents the internal stress of the resin laminate layers, Es represents the Young's modulus of the substrate, and T represents the thickness of the substrate.

8. The optical element according to claim 7 , wherein the optical element satisfies the following formula:

RT max1 /RTrx ≤5/3  Formula (8).

9. The optical element according to claim 7 , wherein the optical element satisfies the following formula:

σ1/ Es×RT max1/ T≤ 3.0 ppm  Formula (10).

10. The optical element according to claim 7 , wherein the substrate is a glass substrate that has a thickness of 200 μm or more.

11. The optical element according to claim 7 , wherein the stress-release resin layer has pencil hardness of 6B or softer.

12. The optical element according to claim 7 , wherein the optical element is a lenticular lens sheet, a fly-eye lens sheet, or a Fresnel lens sheet.

13. A display device that comprises the optical element according to claim 7 .

14. An optical element comprising a substrate and a resin and satisfies the following formula:

RT max/ RT min≤9/5  Formula (1)

wherein RTmin represents the resin thickness at the thinnest regions of a major patterned component that is made of the resin, and RTmax represents the resin thickness at the thickest regions of the major patterned component which is made of the resin,

wherein the resin includes a lens portion having a predetermined curvature radius and a base portion of the lens portion, and

wherein a change rate Δr of the curvature radius after a light fastness test is 10% or less.

15. The optical element according to claim 14 , wherein the optical element satisfies the following formula:

RT max/ RT min≤5/3  Formula (2), and

wherein the change rate Δr of the curvature radius after the light fastness test is 5.5% or less.