Optical components including lens having at least one aspherical refractive surface
First Claim
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1. An optical component comprising:
- at least a first aspherical refractive surface, whereinthe first aspherical refractive surface constitute a part of a boundary between a first medium having a refractive index n1 and a second medium having a refractive index n2,a first curve is defined as a collection of intersections between the x-z plane of a rectangular coordinate system and the first aspherical refractive surface, whereinthe origin of the rectangular coordinate system is located within the second medium, and the z-axis of the rectangular coordinate system passes through the origin and a point on the first aspherical refractive surface,the said first curve is symmetric about the z-axis,a distance from the origin to a first point on the first curve with a zenith angle θ
is r(θ
),rectangular coordinates (x, z) and polar coordinates (θ
, r) of the first point in the x-z plane satisfy relations given in Eqs. 1 and 2,
x(θ
)=r(θ
)sin θ
(Eq.
1)
z(θ
)=r(θ
)cos θ
(Eq.
2)the distance r(θ
) is given as Eq. 3,
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Abstract
An optical component including lens having at least one aspherical refractive surface capable of satisfying desired performance and characteristics is disclosed.
5 Citations
57 Claims
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1. An optical component comprising:
-
at least a first aspherical refractive surface, wherein the first aspherical refractive surface constitute a part of a boundary between a first medium having a refractive index n1 and a second medium having a refractive index n2, a first curve is defined as a collection of intersections between the x-z plane of a rectangular coordinate system and the first aspherical refractive surface, wherein the origin of the rectangular coordinate system is located within the second medium, and the z-axis of the rectangular coordinate system passes through the origin and a point on the first aspherical refractive surface, the said first curve is symmetric about the z-axis, a distance from the origin to a first point on the first curve with a zenith angle θ
is r(θ
),rectangular coordinates (x, z) and polar coordinates (θ
, r) of the first point in the x-z plane satisfy relations given in Eqs. 1 and 2,
x(θ
)=r(θ
)sin θ
(Eq.
1)
z(θ
)=r(θ
)cos θ
(Eq.
2)the distance r(θ
) is given as Eq. 3, - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17)
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18. An optical component comprising:
-
at least a first aspherical refractive surface, wherein the first aspherical refractive surface constitute a part of a boundary between a first medium having a refractive index n1 and a second medium having a refractive index n2, a first curve is defined as a collection of intersections between the x-z plane of a rectangular coordinate system and the first aspherical refractive surface, wherein the origin of the rectangular coordinate system is located within the second medium, and the z-axis of the rectangular coordinate system passes through the origin and a point on the first aspherical refractive surface, the said first curve is symmetric about the z-axis, a distance from the origin to a first point on the first curve with a zenith angle θ
is r(θ
),rectangular coordinates (x, z) and polar coordinates (θ
, r) of the first point in the x-z plane satisfy relations given in Eqs. 8 and 9,
x(θ
)=r(θ
)sin θ
(Eq.
8)
z(θ
)=r(θ
)cos θ
(Eq.
9)the distance r(θ
) is given as the following Eq. 10, - View Dependent Claims (19, 20, 21, 22, 23, 24, 25, 26)
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27. An optical component comprising:
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a first lens surface; a second lens surface; a third lens surface; and a fourth lens surface, wherein the fourth lens surface constitute a part of a boundary between a fourth medium having a refractive index n4 and a fifth medium having a refractive index n5, the refractive index n4 of the fourth medium is larger than the refractive index n5 of the fifth medium (n4>
n5),a fourth curve is defined as a collection of intersections between the x-z plane of a rectangular coordinate system and the fourth lens surface, wherein an origin of the rectangular coordinate system is located within the fifth medium, and the z-axis of the rectangular coordinate system passes through the origin and a point on the fourth lens surface, the said fourth curve is symmetric about the z-axis, a distance from the origin to a first point on the fourth curve with a zenith angle θ
is r(θ
),rectangular coordinates (x, z) and polar coordinates (θ
, r) of the first point in the x-z plane satisfy relations given in the following Eqs. 11 and 12,
x(θ
)=r(θ
)sin θ
(Eq.
11)
z(θ
)=r(θ
)cos θ
(Eq.
12)the distance r(θ
) is given as Eq. 13 shown below, - View Dependent Claims (28, 29, 30, 31)
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32. An optical component comprising:
-
a first lens surface; and a second lens surface, wherein the first lens surface constitutes a part of a boundary between a first medium having a refractive index n0 and a second medium having a refractive index n1, the second lens surface constitutes a part of a boundary between the second medium and a third medium having a refractive index n2, a first curve is defined as a collection of intersections between the x-z plane of a rectangular coordinate system and the first lens surface, wherein an origin of the rectangular coordinate system is located within the third medium, and the z-axis of the rectangular coordinate system passes through the origin and a point on the first lens surface, the said first curve is symmetric about the z-axis, a second curve is defined as a collection of intersections between the x-z plane and the second lens surface, and the second curve is a straight line segment perpendicular to the z-axis, a distance from the origin to the second curve is fB, rectangular coordinates (x, z) and polar coordinates (θ
, r) of a first point on the second curve in the x-z plane with a zenith angle θ
is given as Eqs. 17 and 18,
x(θ
)=fB tan θ
(Eq.
17)
z(θ
)=fB
(Eq.
18)the zenith angle θ
ranges from a minimum θ
1 not smaller than zero to a maximum θ
2 smaller than π
/2,rectangular coordinates (X, Z) of a second point on the first curve corresponding to the first point on the second curve satisfy relations given in Eqs. 19 and 20,
X(θ
)=fB tan θ
+L(θ
)sin δ
(θ
)
(Eq.
19)
Z(θ
)=fB+L(θ
)cos δ
(θ
)
(Eq.
20)said L(θ
) is the distance from the first point to the second point, and said L(θ
) is given as Eq. 21, - View Dependent Claims (33, 34, 35)
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36. An optical component comprising:
-
a first lens surface; and a second lens surface, wherein the first lens surface constitutes a part of a boundary between a first medium having a refractive index n0 and a second medium having a refractive index n1, the second lens surface constitutes a part of a boundary between the second medium and a third medium having a refractive index n2, a first curve is defined as a collection of intersections between the x-z plane of a rectangular coordinate system and the first lens surface, wherein the origin of the rectangular coordinate system is located within the third medium, and the z-axis of the rectangular coordinate system passes through the origin and a point on the first lens surface, the said first curve is a straight line segment perpendicular to the z-axis, a second curve is defined as a collection of intersections between the x-z plane and the second lens surface, and the second curve is symmetric about the z-axis, the distance from the origin to the first curve is zo, rectangular coordinates (x, z) and polar coordinates (θ
, r) of a first point on the first curve in the x-z plane with a zenith angle θ
satisfy relations given in Eqs. 26 and 27,
x(θ
)=zo tan θ
(Eq.
26)
z(θ
)=z(θ
)≡
zo
(Eq.
27)the zenith angle θ
ranges from the minimum θ
1 not smaller than zero to the maximum θ
2 smaller than π
/2,rectangular coordinates (X, Z) of a second point on the second curve corresponding to the first point on the first curve satisfy relations given in Eqs. 28 and 29,
X(θ
)=zo tan θ
−
L(θ
)sin δ
(θ
)
(Eq.
28)
Z(θ
)=zo−
L(θ
)cos δ
(θ
)
(Eq.
29)said L(θ
) is the distance from the first point to the second point, and said L(θ
) is given as Eq. 30, - View Dependent Claims (37, 38, 39)
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40. An optical component comprising:
-
a first aspherical refractive surface; and a second aspherical refractive surface, wherein the first aspherical refractive surface constitutes a part of a boundary between a first medium having a refractive index n0 and a second medium having a refractive index n1, the second aspherical refractive surface constitutes a part of a boundary between the second medium and a third medium having a refractive index n2, a second curve is defined as a collection of intersections between the x-z plane of a rectangular coordinate system and the second aspherical refractive surface, wherein the origin of the rectangular coordinate system is located within the third medium, and the z-axis of the rectangular coordinate system passes through the origin and a point on the second aspherical refractive surface, the said first curve is symmetric about the z-axis, a distance from the origin to the first point on the second curve with a zenith angle θ
is r(θ
),rectangular coordinates (x, z) and polar coordinates (θ
, r) of the first point in the x-z plane satisfy relations shown in the following Eqs. 35 and 36,
x(θ
)=r(θ
)sin θ
(Eq.
35)
z(θ
)=r(θ
)cos θ
(Eq.
36)the distance r(θ
) is given as Eq. 37 below, - View Dependent Claims (41, 42, 43, 44, 45, 46, 47)
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48. An optical component comprising:
-
a first aspherical refractive surface; and a second aspherical refractive surface, wherein the first aspherical refractive surface constitutes a part of a boundary between a first medium having a refractive index n0 and a second medium having a refractive index n1, the second aspherical refractive surface constitutes a part of a boundary between the second medium and a third medium having a refractive index n2, a second curve is defined as a collection of intersections between the x-z plane of a rectangular coordinate system and the second aspherical refractive surface, wherein the origin of the rectangular coordinate system is located within the third medium, and a z-axis of the rectangular coordinate system passes through the origin and a point on the second aspherical refractive surface, the said second curve is symmetric about the z-axis, a distance from the origin to a first point on the second curve with a zenith angle θ
is r(θ
),rectangular coordinates (x, z) and polar coordinates (θ
, r) of the first point in the x-z plane satisfy relations shown in the following Eqs. 45 and 46,
x(θ
)=r(θ
)sin θ
(Eq.
45)
z(θ
)=r(θ
)cos θ
(Eq.
46)the distance r(θ
) is given as Eq. 47 below, - View Dependent Claims (49, 50, 51, 52, 53, 54, 55, 56, 57)
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Specification
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Current AssigneeNanophotonics Ltd.
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Original AssigneeNanophotonics Ltd.
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InventorsKweon, Gyeong-II
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Primary Examiner(s)Martinez; Joseph
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Assistant Examiner(s)Greece; James R
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Application NumberUS11/993,371Publication NumberTime in Patent Office1,601 DaysField of Search359/642, 359/708, 351/159, 623/6.23US Class Current359/708CPC Class CodesG02B 3/02 with non-spherical faces G0...
