# US 11,906,778 B2 · Achromatic light splitting device with a high V number and a low V number waveguide

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- Number: US 11,906,778 B2
- Document ID: US11906778B2
- Status: Granted
- Kind: B2
- Application number: 17/479,943
- Filed: 2021-09-20
- Published: 2022-03-31
- Granted: 2024-02-20
- Earliest claimed: 2020-09-25
- Assignees: Apple Inc.
- Applicants: Apple Inc.
- Inventors: Mark Alan Arbore; Yi-Kuei Wu
- Web page: https://patentgrep.com/patent/US11906778B2

## CPC

- G02B 6/12007: {forming wavelength selective elements, e.g. multiplexer, demultiplexer}
- G02B 6/125: Bends, branchings or intersections
- G02B 27/1006: {for splitting or combining different wavelengths (G02B27/1086, G02B27/141 take precedence)}
- G02B 6/2808: {using a mixing element which evenly distributes an input signal over a number of outputs}
- G02B: OPTICAL ELEMENTS, SYSTEMS OR APPARATUS

## Abstract

Configurations for an optical splitter are disclosed. The optical splitter may include an input waveguide, a free propagation region, and an array of output waveguides. The input waveguide may be sufficiently narrow that the light in the free propagation region may diffract and provide the same optical intensity at far field angles across a wide wavelength range. The input waveguide may have a high V number in a vertical dimension and a low V number in a horizontal dimension. Because all of the wavelengths of light diffract at the same angle in the free propagation region, once the light reaches the output waveguides, the light may have similar optical power at each of the output waveguides. Additionally, the output waveguides may vary in width and spacing to mitigate the non-uniform optical power distribution of the phase front of light.

## Claims

### Claim 1

An optical splitter, comprising:
an input waveguide configured to input a wavelength range of light to a free propagation region, the input waveguide configured to achieve a proportional relationship between mode size and wavelength across the wavelength range of light at an input edge of the free propagation region;
the free propagation region having the input edge and an output edge, optically coupled to the input waveguide on the input edge, and configured to receive the wavelength range of light from the input waveguide, thereby generating a phase front of light; and
an array of output waveguides optically coupled to the output edge of the free propagation region, wherein:
each waveguide of the array of output waveguides is positioned at a predetermined angle to a local phase front of light of the phase front of light received by each waveguide from the free propagation region; and
the array of output waveguides comprises:
a center channel waveguide having a first width;
a first pair of adjacent outer channel waveguides each having a narrower width than the first width, wherein the first pair of adjacent outer channel waveguides is positioned to receive a summed optical power that is approximately the same as an optical power received by the center channel waveguide.

### Claim 2 (depends on 1)

The optical splitter of claim 1, wherein:
the input waveguide has a high V number in a first dimension and a low V number in a second dimension, thereby causing light to diffract at a same diffraction angle across the wavelength range of light;
the predetermined angle is approximately normal to the local phase front of light of the phase front of light received by each waveguide from the free propagation region.

### Claim 3 (depends on 1)

The optical splitter of claim 1, wherein:
at least some of the array of output waveguides have non-uniform spacing between one another.

### Claim 4 (depends on 1)

The optical splitter of claim 1, wherein the array of output waveguides comprises a second pair of adjacent outer channel waveguides that have a narrower width than the first pair of adjacent outer channel waveguides; and
the second pair of adjacent outer channel waveguides is positioned to receive a summed optical power that is approximately the same as the summed optical power received by the first pair of adjacent outer channel waveguides.

### Claim 5 (depends on 1)

The optical splitter of claim 1, wherein a width of at least one of the array of output waveguides depends, at least in part, on an intensity of diffracted light in the free propagation region.

### Claim 6 (depends on 1)

The optical splitter of claim 1, wherein:
a first dimension of the input waveguide depends, at least in part, on a first V number of the input waveguide;
a second dimension of the input waveguide depends, at least in part, on a second V number of the input waveguide; and
the first V number is greater than the second V number.

### Claim 7 (depends on 1)

The optical splitter of claim 1, wherein an input waveguide mode, as measured in a first dimension, matches a waveguide mode of the free propagation region, thereby reducing optical loss.

### Claim 8 (depends on 1)

The optical splitter of claim 1, wherein:
the input waveguide is a first input waveguide;
the optical splitter further comprises a second input waveguide positioned adjacent to the first input waveguide and optically coupled to the free propagation region; and
the first and second input waveguides are symmetrically positioned to input light to the free propagation region.

### Claim 9

An optical splitter, comprising:
an input waveguide having a high V number in a first dimension, a low V number in a second dimension and configured to input a wavelength range of light;
a slab waveguide with an input edge and an output edge, the slab waveguide optically coupled to the input waveguide and configured to receive light from the input waveguide; and
an array of output waveguides positioned across the output edge of the slab waveguide such that some of the output waveguides are center channel output waveguides and others of the output waveguides are outer channel output waveguides, wherein the array of output waveguides comprises:
a center channel waveguide having a first width;
a first pair of adjacent outer channel waveguides each having a narrower width than the first width, wherein the first pair of adjacent outer channel waveguides is positioned to receive a summed optical power that is approximately the same as an optical power received by the center channel waveguide.

### Claim 10 (depends on 9)

The optical splitter of claim 9, wherein:
the input waveguide has the high V number in a vertical dimension and the low V number in a horizontal dimension;
a mode size of the input waveguide is proportional to a wavelength in the wavelength range of light in the horizontal dimension;
in the slab waveguide, a diffraction angle is the same across the wavelength range of light in the horizontal dimension; and
a center channel spacing is uniform for the center channel output waveguides of the array of output waveguides and an outer channel spacing is smaller than the uniform spacing for the center channel output waveguides.

### Claim 11 (depends on 9)

The optical splitter of claim 9, wherein at least one of the input waveguide or the array of output waveguides are strip waveguides.

### Claim 12 (depends on 9)

The optical splitter of claim 9, wherein the wavelength range of light is one micron.

### Claim 13 (depends on 9)

The optical splitter of claim 9, wherein:
the array of output waveguides comprises a second pair of adjacent outer channel waveguides that have a narrower width than the first pair of adjacent outer channel waveguides; and
the second pair of adjacent outer channel waveguides is positioned to receive a summed optical power that is approximately the same as the summed optical power received by the first pair of adjacent outer channel waveguides.

### Claim 14

An optical splitter, comprising:
a strip waveguide for inputting light across a wavelength range of light;
a slab waveguide configured to receive the wavelength range of light from the strip waveguide; and
an array of output waveguides positioned to receive the wavelength range of light from the slab waveguide; wherein:
a strip waveguide mode size is proportional to a wavelength in the wavelength range of light;
a diffraction angle of light in the slab waveguide is similar across the wavelength range of light; and
the array of output waveguides comprises:
a center channel waveguide having a first width;
a first pair of adjacent outer channel waveguides each having a narrower width than the first width, wherein the first pair of adjacent outer channel waveguides is positioned to receive a summed optical power that is approximately the same as an optical power received by the center channel waveguide.

### Claim 15 (depends on 14)

The optical splitter of claim 14, wherein:
a phase front of light of the slab waveguide has a cylindrical phase front;
each waveguide of the array of output waveguides is positioned normal to a local phase front of light in the slab waveguide; and
the array of output waveguides are strip waveguides.

### Claim 16 (depends on 14)

The optical splitter of claim 14, wherein the array of output waveguides comprises a second pair of adjacent outer channel waveguides that have a narrower width than the first pair of adjacent outer channel waveguides; and
the second pair of adjacent outer channel waveguides is positioned to receive a summed optical power that is approximately the same as the summed optical power received by the first pair of adjacent outer channel waveguides.

### Claim 17 (depends on 14)

The optical splitter of claim 14, wherein:
the strip waveguide has a high V number in a first dimension and a low V number in a second dimension; and
a strip waveguide mode in the first dimension matches a waveguide mode of the slab waveguide, thereby reducing optical loss.
