LIGHT-EMISSION LENS, LIGHT-EMITTING ELEMENT ASSEMBLY, SHEET-SHAPED LIGHT SOURCE DEVICE AND COLOR LIQUID CRYSTAL DISPLAY ASSEMBLY
First Claim
1. A lens formed from circular bottom, lateral and top faces and having a surface light source of a finite size provided at the center of the bottom face thereof, whereinin an assumed cylindrical coordinate (r, φ
- , z) of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,the top face is an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face is an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source,a function r=fS(z) where z is a variable representing the aspheric lateral face increasing monotonously as the variable z decreases in a closed zone defined by 0≦
z≦
Z1 when the z-coordinate of the intersection between the lateral and top faces is z1, and having at least one point where an absolute value |d2r/dz2| of a second-order differential coefficient of the variable z takes a maximum value in the closed zone.
1 Assignment
0 Petitions
Accused Products
Abstract
There is provided a lens formed from a circular bottom face (11), lateral face (14) and top face (15) and having a surface light source (13) of a finite size disposed at the center of the bottom face (11). The top face (15) is an aspheric surface rotational symmetric with respect to a z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ0 at the intersection between the lateral face (14) and top face (15), of light emitted from the surface light source (13). The lateral face (14) is an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ0, and component, totally reflected at the top face (15), of the light emitted from the surface light source (13). A function r=fS(z) where z is a variable representing the lateral face (14) increases monotonously as the variable z decreases in a closed zone defined by 0≦z≦z1 (z-coordinate of an intersection between the lateral face (14) and top face (15)), and has at least one point where a absolute value |d2r/dz2| is maximum in the closed zone.
-
Citations
33 Claims
-
1. A lens formed from circular bottom, lateral and top faces and having a surface light source of a finite size provided at the center of the bottom face thereof, wherein
in an assumed cylindrical coordinate (r, φ - , z) of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
the top face is an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face is an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source,a function r=fS(z) where z is a variable representing the aspheric lateral face increasing monotonously as the variable z decreases in a closed zone defined by 0≦
z≦
Z1 when the z-coordinate of the intersection between the lateral and top faces is z1, and having at least one point where an absolute value |d2r/dz2| of a second-order differential coefficient of the variable z takes a maximum value in the closed zone. - View Dependent Claims (2, 3, 4, 5)
- , z) of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
-
6. A lens formed from circular bottom, lateral and top faces and having a surface light source of a finite size disposed at the center of the bottom face thereof, wherein
in a cylindrical coordinate (r, φ - , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
the top face is an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face is an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source. - View Dependent Claims (7)
- , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
-
8. A lens formed from circular bottom, lateral and top faces and having a light-emitting element disposed at the center of the bottom face thereof, wherein
the lateral face of the lens is a curved surface convexed outwardly and symmetric with respect to an axis of revolution which is an axis passing through the center point of the bottom face and perpendicular to the bottom face, the top face is a curved surface convexed toward the bottom face and symmetric with respect to the axis of revolution, and on the assumption that the cone angle of a first virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω -
1 and the cone angle (solid angle) of a second virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω
2,a component, existing inside the second virtual cone, of virtual light assumed to have been projected from the center point is projected from the top face to outside, a component, existing outside the second virtual cone but inside the first virtual cone, of the virtual light assumed to have been projected from the center point is totally reflected at the top face and projected to outside from the lateral face, and a component, existing outside the first virtual cone, of the virtual light assumed to have been projected from the center point is projected from the lateral face to outside. - View Dependent Claims (9, 10, 11, 12, 13, 14, 15, 16)
-
1 and the cone angle (solid angle) of a second virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω
-
17. A light-emitting element assembly including
a lens formed from circular bottom, lateral and top faces, and a surface light source formed from a light emitting element provided at the center of the bottom face of the lens, wherein in a cylindrical coordinate (r, φ - , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
the top face is an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face is an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source,a function r=fS(z) where z is a variable representing the aspheric lateral face increasing monotonously as the variable z decreases in a closed zone defined by 0≦
z≦
z1 when the z-coordinate of the intersection between the lateral and top faces is z1, and having at least one point where an absolute value |d2r/dz2| of a second-order differential coefficient of the variable z takes a maximum value in the closed zone. - View Dependent Claims (18, 19)
- , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
-
20. A light-emitting element assembly including
a lens formed from circular bottom, lateral and top faces, and a surface light source formed from a light emitting element provided at the center of the bottom face of the lens, wherein in a cylindrical coordinate (r, φ - , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
the top face is an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face is an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source. - View Dependent Claims (21)
- , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
-
22. A light-emitting element assembly including
a lens formed from circular bottom, lateral and top faces, and a surface light source formed from a light emitting element provided at the center of the bottom face of the lens, wherein of the lens, the lateral face is a curved surface convexed outwardly and symmetric with respect to an axis of revolution which is an axis passing through the center point of the bottom face and perpendicular to the bottom face, and the top face is a curved surface convexed toward the bottom face and symmetric with respect to the axis of revolution, and on the assumption that the cone angle of a first virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω -
1 and the cone angle (solid angle) of a second virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω
2,a component, existing inside the second virtual cone, of virtual light assumed to have been projected from the center point is projected from the top face to outside, a component, existing outside the second virtual cone but inside the first virtual cone, of the virtual light assumed to have been projected from the center point is totally reflected at the top face and projected to outside from the lateral face, and a component, existing outside the second virtual cone, of the virtual light assumed to have been projected from the center point is projected from the lateral face to outside. - View Dependent Claims (23, 24, 25)
-
1 and the cone angle (solid angle) of a second virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω
-
26. A surface light source device including a plurality of light-emitting element assemblies to emit red light, a plurality of light-emitting element assemblies to emit green light and a plurality of light-emitting element assemblies to emit blue light, wherein
each of the light-emitting element assemblies includes a lens formed from circular bottom, lateral and top faces, and a surface light source formed from a light emitting element provided at the center of the bottom face of the lens, in a cylindrical coordinate (r, φ - , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
the top face being an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a ht component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face being an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source,a function r=fS(z) where z is a variable representing the aspheric lateral face increasing monotonously as the variable z decreases in a closed zone defined by 0≦
z≦
z1 when the z-coordinate of the intersection between the lateral and top faces is z1, and having at least one point where an absolute value |d2r/dz2| of a second-order differential coefficient of the variable z takes a maximum value in the closed zone.
- , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
-
27. A surface light source device including a plurality of light-emitting element assemblies to emit red light, a plurality of light-emitting element assemblies to emit green light and a plurality of light-emitting element assemblies to emit blue light, wherein
each of the light-emitting element assemblies includes a lens formed from circular bottom, lateral and top faces, and a surface light source formed from a light emitting element provided at the center of the bottom face of the lens, in a cylindrical coordinate (r, φ - , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
the top face being an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face being an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source. - View Dependent Claims (28)
- , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
-
29. A surface light source device to backlight a transparent or semitransparent type color liquid crystal display, the device comprising:
-
a plurality of light-emitting element assemblies to emit red light, a plurality of light-emitting element assemblies to emit green light and a plurality of light-emitting element assemblies to emit blue light; each of the light-emitting element assemblies including a lens having circular bottom, lateral and top faces, and a light emitting element provided at the center of the bottom face of the lens, of the lens, the lateral face of the lens being a curved surface convexed outwardly and symmetric with respect to an axis of revolution which is an axis passing through the center point of the bottom face and perpendicular to the bottom face, and the top face being a curved surface convexed toward the bottom face and symmetric with respect to the axis of revolution, on the assumption that the cone angle of a first virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω
1 and the cone angle (solid angle) of a second virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω
2,a component, existing inside the second virtual cone, of virtual light assumed to have been projected from the center point being projected from the top face to outside, a component, existing outside the second virtual cone but inside the first virtual cone, of the virtual light assumed to have been projected from the center point being totally reflected at the top face and projected to outside from the lateral face, and a component, existing outside the first virtual cone, of the virtual light assumed to have been projected from the center point being projected from the lateral face to outside.
-
-
30. A color liquid crystal display assembly including a transparent or semitransparent type color liquid crystal display and a surface light source device to backlight the color liquid crystal display, wherein
the surface light source device includes a plurality of light-emitting element assemblies to emit red light, a plurality of light-emitting element assemblies to emit green light and a plurality of light-emitting element assemblies to emit blue light, wherein each of the light-emitting element assemblies includes a lens formed from circular bottom, lateral and top faces, and a surface light source formed from a light emitting element provided at the center of the bottom face thereof, in a cylindrical coordinate (r, φ - , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
the top face being an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face being an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source,a function r=fS(z) where z is a variable representing the aspheric lateral face increasing monotonously as the variable z decreasing in a closed zone defined by 0≦
z≦
z1 when the z-coordinate of the intersection between the lateral and top faces is z1, and having at least one point where an absolute value |d2r/dz2| of a second-order differential coefficient of the variable z taking a maximum value in the closed zone.
- , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
-
31. A color liquid crystal display assembly including a transparent or semitransparent type color liquid crystal display and a surface light source device to backlight the color liquid crystal display to emit red light, a plurality of light-emitting element assemblies to emit green light and a plurality of light-emitting element assemblies to emit blue light, wherein
each of the light-emitting element assemblies includes a lens formed from circular bottom, lateral and top faces, and a surface light source formed from a light emitting element provided at the center of the bottom face thereof, in a cylindrical coordinate (r, φ - , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
the top face being an aspheric surface rotational symmetric with respect to the z-axis and which totally reflects a part of a component, whose polar angle is smaller than a polar angle Θ
0 at the intersection between the lateral and top faces, of light emitted at a half of a whole solid angle from the surface light source, andthe lateral face being an aspheric surface rotational symmetric with respect to the z-axis and pervious to a component, whose polar angle is larger than the polar angle Θ
0, and component, totally reflected at the top face, of light emitted at the half of the whole solid angle from the surface light source. - View Dependent Claims (32)
- , z) assumed for the lens and of which the origin is the center of the bottom face and z-axis is a normal line passing through the center of the bottom face,
-
33. A color liquid crystal display assembly including a transparent or semitransparent type color liquid crystal display and a surface light source device to backlight the color liquid crystal display, wherein
the surface light source device includes a plurality of light-emitting element assemblies to emit red light, a plurality of light-emitting element assemblies to emit green light and a plurality of light-emitting element assemblies to emit blue light, and each of the light-emitting element assemblies includes a lens formed from circular bottom, lateral and top faces, and a light emitting element provided at the center of the bottom face thereof, of the lens, the lateral face being a curved surface convexed outwardly and symmetric with respect to an axis of revolution which is an axis passing through the center point of the bottom face and perpendicular to the bottom face, and the top face being a curved surface convexed toward the bottom face and symmetric with respect to the axis of revolution, and on the assumption that the cone angle of a first virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω -
1 and the cone angle (solid angle) of a second virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω
2,a component, existing inside the second virtual cone, of virtual light assumed to have been projected from the center point being projected from the top face to outside, a component, existing outside the second virtual cone but inside the first virtual cone, of the virtual light assumed to have been projected from the center point being totally reflected at the top face and projected to outside from the lateral face, and a component, existing outside the first virtual cone, of the virtual light assumed to have been projected from the center point being projected from the lateral face to outside.
-
1 and the cone angle (solid angle) of a second virtual cone having the vertex thereof defined by the center point and being tangent to the top face is Ω
Specification