# US 12,761,397 B2 · Optical element and optical design method

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- Number: US 12,761,397 B2
- Document ID: US12761397B2
- Status: Granted
- Kind: B2
- Application number: 18/650,809
- Filed: 2024-04-30
- Published: 2024-11-07
- Granted: 2026-10-13
- Earliest claimed: 2023-05-02
- Assignees: Kowa Company, Ltd.
- Applicants: KOWA COMPANY, Ltd.
- Inventors: Kentaro Iwami; Hideki Ina; Jun Maruyama
- Web page: https://patentgrep.com/patent/US12761397B2

## CPC

- G02B 1/002: {made of materials engineered to provide properties not available in nature, e.g. metamaterials}
- G02B 3/00: Simple or compound lenses
- G02B 27/0012: {Optical design, e.g. procedures, algorithms, optimisation routines}
- G02B: OPTICAL ELEMENTS, SYSTEMS OR APPARATUS

## Abstract

An optical element includes: a metalens having a finely shaped surface on which a fine pattern is formed based on a shape of a meta-atom and a bonded surface formed in a flat shape; and a bonding lens having a feature equivalent to an existing lens and being bonded to the bonded surface. For example, the bonding lens includes: a first glass material bonded to the bonded surface; and a second glass material separated from the bonded surface and bonded to the first glass material. For example, an optical design method includes: a setting step of setting, based on optical design of a configuration including binary optics replacing a feature of the metalens, a first step pattern of the binary optics; a first calculation step; and a first identification step.

## Claims

### Claim 1

An optical element comprising:
a metalens having a finely shaped surface on which a fine pattern is formed based on a shape of a meta-atom and a bonded surface formed in a flat shape; and
a bonding lens having a feature equivalent to an existing lens and being bonded to the bonded surface,
wherein the bonding lens includes:
a first glass material bonded to the bonded surface; and
a second glass material separated from the bonded surface and bonded to the first glass material.

### Claim 2

An optical design method for designing an optical element comprising a metalens having a finely shaped surface on which a fine pattern is formed based on a shape of a meta-atom and a bonded surface formed in a flat shape, and a bonding lens having a feature equivalent to an existing lens and being bonded to the bonded surface, the method comprising:
a first restrictive condition step of identifying conditions for a diffractive optical element and the bonding lens that satisfy:
B
⁢
1
∝
λ
0
(
N
⁢
1
-
N
⁢
2
)
/
(
R
×
(
λ
1
-
λ
2
)
)
,
wherein:
B1 is a phase coefficient used to model the diffractive optical element by an equivalent refraction method using optical design software;
λ0 is a normalized wavelength of the diffractive optical element;
λ1 is a first correction target wavelength to be subjected to axial chromatic aberration correction;
λ2 is a second correction target wavelength to be subjected to axial chromatic aberration correction;
N1 is a first refractive index of the bonding lens for the first correction target wavelength;
N2 is a second refractive index of the bonding lens for the second correction target wavelength; and
R is a radius of curvature of a convex surface of the bonding lens.

### Claim 3 (depends on 2)

The optical design method according to claim 2, further comprising:
a setting step of setting, based on optical design of a configuration including binary optics included in one diffractive optical element replacing a feature of the metalens, a first step pattern of the binary optics;
a first calculation step of calculating first phase data indicating a phase relationship with respect to the shape of the meta-atom based on a preset first wavelength; and
a first identification step of calculating a first phase pattern from the first step pattern and identifying the fine pattern corresponding to the first phase pattern with reference to the first phase data.

### Claim 4 (depends on 3)

The optical design method according to claim 3, wherein
the setting step includes setting the first step pattern based on optical design of a configuration in which the binary optics and a conventional lens for initial setting are combined.

### Claim 5 (depends on 4)

The optical design method according to claim 4, further comprising:
a second calculation step of calculating second phase data different from the first phase data based on a preset second wavelength different from the preset first wavelength;
a second identification step of identifying a second phase pattern corresponding to the fine pattern with reference to the second phase data; and
a design step of designing the bonding lens based on the first phase pattern and the second phase pattern.

### Claim 6 (depends on 5)

The optical design method according to claim 5, wherein
the design step includes identifying a second step pattern corresponding to the second phase pattern, and designing the bonding lens based on the second step pattern.

### Claim 7 (depends on 3)

The optical design method according to claim 3, wherein
the first calculation step includes calculating the first phase data using a vector model optical simulation.

### Claim 8

An optical design method for designing an optical element comprising a metalens having a finely shaped surface on which a fine pattern is formed based on a shape of a meta-atom and a bonded surface formed in a flat shape, and a bonding lens having a feature equivalent to an existing lens and being bonded to the bonded surface, the method comprising:
a second restrictive condition step of identifying conditions for a diffractive optical element and the bonding lens that satisfy:
B
⁢
1
∝
λ
0
(
φ
p
⁢
c
⁢
2
-
φ
p
⁢
c
⁢
1
)
/
(
-
λ
1
(
1
-
e
′
⁢
φ
pc
⁢
1
)
+
λ
2
(
1
-
e
′
⁢
φ
p
⁢
c
⁢
2
)
)
,
wherein:
B1 is a phase coefficient used to model the diffractive optical element by an equivalent refraction method using optical design software;
λ0 is a normalized wavelength of the diffractive optical element;
λ1 is a first correction target wavelength to be subjected to axial chromatic aberration correction;
λ2 is a second correction target wavelength to be subjected to axial chromatic aberration correction;
φpc1 is a reciprocal of focal length of the bonding lens;
φpc2 is a reciprocal of focal length of the diffractive optical element; and
e′ is a geometric optical distance between the diffractive optical element and the bonding lens.
