Methods for designing metalens and systems thereof

Patent metadata

Field	Value
Publication number	US-2025389867-A1
Application number	US-202418752837-A
Country	US
Kind code	A1
Filing date	Jun 25, 2024
Priority date	Jun 25, 2024
Publication date	Dec 25, 2025
Grant date	—

Abstract

Embodiments are directed towards a method for designing a metalens, comprising selecting a group of metacells from a library at least based on their corresponding phase responses; receiving a description of incident optical signals and target optical signals; defining a phase rounding threshold value and a maximum number of rounding operations, wherein the phase rounding threshold value varies in terms of a rounding operation number; generating a phase for each metacell of the metalens with IFTA at least based on the description of the incident optical signals and the target optical signals; determining if the generated phase for each metacell meets the phase rounding threshold value, and if the phase rounding threshold value is met, performing a rounding operation by rounding the generated phase to the phase of one of the metacells from the selected group; and outputting the generated phases of all metacells when all rounding operations are completed.

First claim

What is claimed is:

1 . A method for designing a metalens, comprising selecting a group of metacells from a library at least based on their corresponding phase responses;
receiving a description of incident optical signals and target optical signals; defining a phase rounding threshold value and a maximum number of rounding operations, wherein the phase rounding threshold value varies in terms of a rounding operation number; generating a phase for each metacell of the metalens with IFTA at least based on the description of the incident optical signals and the target optical signals; determining if the generated phase for each metacell meets the phase rounding threshold value, and if the phase rounding threshold value is met, performing a rounding operation by rounding the generated phase to the phase of one of the metacells from the selected group; and outputting the generated phases of all metacells when all rounding operations are completed.

2 . The method of claim 1 , further comprising the step of:
if at least one of the generated phases does not meet the phase rounding threshold value, continuing to generate a phase for each metacell with IFTA at least based on the result of the prior rounding operation.

3 . The method of claim 1 , wherein the selected group includes N metacells, and the phases of the N metacells constitute a set identified as [a 1 . . . a N ], wherein N is an integer no less than 2; wherein defining a phase rounding threshold value and a maximum number of rounding operation includes extending the set to [a 0 . . . a N+1 ], wherein a 0 =a N −2π, a N+1 =a 1 +2π.

4 . The method of claim 3 , wherein defining a phase rounding threshold value and a maximum number of rounding includes defining mid-points [b 1 . . . b N+1 ] between adjacent points in [a 0 . . . a N+1 ], and defining phase difference [g 1 . . . g N+1 ] between adjacent points in [a 0 . . . a N+1] .

5 . The method of claim 4 , wherein defining a phase rounding threshold value and a maximum number of rounding operation includes
defining the rounding operation number as integer p, and 1≤p≤N sq , wherein the phase rounding threshold value series is defined as

{

ε
p

}

p
=
1

N
sp

which varies between 0 and 1, wherein when p=1, the first phase rounding threshold value ε 1 is predetermined and 0<ε 1 <½;
defining the maximum number of rounding operations as N sq to be

ceil

[

ln
⁢

ε
1

ln
⁢

(

1
-

ε
1

)

]

;

and
defining the phase rounding threshold value as ε p to be

{

1
-

(

1
-

ε
1

)

2

,

p
=
2

,

1
-

(

1
-

ε
2

)

p
-
1

,

2
<
p
<

N
sq

1
,

p
=

N
sq

.

6 . The method of claim 5 , wherein generating a phase for each metacell of the metalens with IFTA at least based on the description of the incident optical signals and the target optical signals includes
when the generated phase φ satisfies b 1 <φ≤b N+1 , specifically b j <φ≤b j+1 , 1≤j≤N, when

-

1
2

⁢

ε
p

*

g
j

<

φ
-

a
j

≤

1
2

⁢

Assignees

• Hong Kong Applied Science & Tech Research Inst Co Ltd

Inventors

• Xie Peng
• Yang Qingyi
• Sun Ruiting
• Lai Yunhe
• Lau Ying Suet
• Wong Ka Yiu
• Au Yeung Tak Shing

Classifications

• B82Y20/00

  Nanooptics, e.g. quantum optics or photonic crystals · CPC title

• G02B2207/101

  Nanooptics · CPC title

• G02B1/002 Primary

  made of materials engineered to provide properties not available in nature, e.g. metamaterials · CPC title