Athermalized multi-path interference filter
A multi-path interference filter. The multi-path interference filter includes a first port waveguide, a second port waveguide, and an optical structure connecting the first port waveguide and the second port waveguide. The optical structure has a first optical path from the first port waveguide to the second port waveguide, and a second optical path, different from the first optical path, from the first port waveguide to the second port waveguide. The first optical path has a portion, having a first length, within hydrogenated amorphous silicon. The second optical path has a portion, having a second length, within crystalline silicon, and the second optical path has either no portion within hydrogenated amorphous silicon, or a portion, having a third length, within hydrogenated amorphous silicon, the third length being less than the first length.
1. An arrayed waveguide grating, comprising:
a first star coupler;
a second star coupler;
an array of waveguides connecting the first star coupler and the second star coupler;
one or more first port waveguides connected to the first star coupler; and
one or more second port waveguides connected to the second star coupler,
wherein:
a first optical path, from a first waveguide of the first port waveguides, through a first waveguide of the array of waveguides, to a first waveguide of the second port waveguides, includes a portion, having a first length, within hydrogenated amorphous silicon,
the remainder of the first optical path is within crystalline silicon,
a second optical path, from the first waveguide of the first port waveguides, through a second waveguide of the array of waveguides, to the first waveguide of the second port waveguides, includes a portion, having a second length, within hydrogenated amorphous silicon,
the remainder of the second optical path is within crystalline silicon,
the second length is different from the first length,
the first waveguide of the array of waveguides includes a first portion, having a length equal to the first length, composed of hydrogenated amorphous silicon,
the remainder of the first waveguide of the array of waveguides is composed of crystalline silicon, and
the first waveguide of the array of waveguides defines only a single optical path at a junction where an end of the first portion of the first waveguide of the array of waveguides is in direct contact with an end of a portion of the remainder of the first waveguide of the array of waveguides.
2. The arrayed waveguide grating of claim 1 , wherein a rate of change, with temperature, of a center wavelength of a channel of the arrayed waveguide grating is less than 70 pm 1° C.
3. The arrayed waveguide grating of claim 1 , wherein:
the second waveguide of the array of waveguides includes a portion, having a length equal to the second length, composed of hydrogenated amorphous silicon, and
the remainder of the second waveguide of the array of waveguides is composed of crystalline silicon.
4. The arrayed waveguide grating of claim 3 , wherein an interface between the first portion of the first waveguide and the portion of the remainder of the first waveguide is a substantially planar surface having a surface normal, an angle between the surface normal and a longitudinal direction of the first portion being greater than 0.1 degrees.
5. The arrayed waveguide grating of claim 4 , wherein the angle between the surface normal and the longitudinal direction of the first portion is less than 30 degrees.
6. A multi-path interference filter, comprising:
a first port waveguide;
a second port waveguide; and
an optical structure connecting the first port waveguide and the second port waveguide,
the optical structure having:
a first optical path from the first port waveguide to the second port waveguide, and
a second optical path, different from the first optical path, from the first port waveguide to the second port waveguide,
the first optical path having a portion, having a first length, within hydrogenated amorphous silicon,
the second optical path having a portion, having a second length, within crystalline silicon, and
the second optical path having either
no portion within hydrogenated amorphous silicon, or
a portion, having a third length, within a first portion of a first waveguide, the first portion of the first waveguide being composed of hydrogenated amorphous silicon, the third length being less than the first length, the first waveguide defining only a single optical path at a junction where an end of the first portion of the first waveguide directly contacts an end of a second portion of the first waveguide, the second portion of the first waveguide being composed of crystalline silicon.
7. The multi-path interference filter of claim 6 , wherein an optical path delay difference between the first optical path and the second optical path has a rate of change, with temperature, of less than 2e-5 radians/° C.
8. The multi-path interference filter of claim 6 , wherein the optical structure comprises a Mach-Zehnder interferometer comprising:
a first coupler,
a second coupler,
the first waveguide, the first waveguide connecting the first coupler and the second coupler, and
a second waveguide connecting the first coupler and the second coupler,
wherein:
a portion of the second optical path is within the first waveguide, and
a portion of the first optical path is within the second waveguide.
9. The multi-path interference filter of claim 6 , wherein the optical structure comprises a generalized Mach-Zehnder interferometer comprising:
a first coupler,
a second coupler,
the first waveguide, the first waveguide connecting the first coupler and the second coupler,
a second waveguide connecting the first coupler and the second coupler,
a third waveguide connecting the first coupler and the second coupler, and
wherein:
a portion of the second optical path is within the first waveguide, and
a portion of the first optical path is within the second waveguide.
10. The multi-path interference filter of claim 6 , wherein the optical structure comprises two concatenated Mach-Zehnder interferometers.
11. The multi-path interference filter of claim 6 , wherein the optical structure comprises an echelle grating.
12. The multi-path interference filter of claim 6 , wherein an optical path delay difference between the first optical path and the second optical path exhibits a maximum change, over a temperature range extending from 20° C. to 70° C., of less than 2e-3 radians.
13. The arrayed waveguide grating of claim 1 , wherein a waveguide core of the first portion of the first waveguide of the array of waveguides directly contacts a waveguide core of the portion of the remainder of the first waveguide of the array of waveguides.
14. The arrayed waveguide grating of claim 1 , wherein the first portion of the first waveguide of the array of waveguides and the portion of the remainder of the first waveguide of the array of waveguides are directly above a same layer.
15. The arrayed waveguide grating of claim 14 , wherein the first portion of the first waveguide of the array of waveguides and the portion of the remainder of the first waveguide of the array of waveguides are directly above a buried oxide layer of a silicon-on-insulator wafer.
16. The arrayed waveguide grating of claim 1 , wherein a height of the first portion of the first waveguide of the array of waveguides is substantially the same as a height of the portion of the remainder of the first waveguide of the array of waveguides.
17. The arrayed waveguide grating of claim 1 , wherein the first portion of the first waveguide of the array of waveguides does not overlap in a plan view with the portion of the remainder of the first waveguide of the array of waveguides.
18. The arrayed waveguide grating of claim 1 , wherein the first waveguide of the array of waveguides is at least partially defined by two trenches that extend along at least part of an optical path of the first waveguide of the array of waveguides and on opposite sides of the optical path of the first waveguide of the array of waveguides, and
wherein the two trenches extend continuously across the junction of the first waveguide of the array of waveguides.
19. The arrayed waveguide grating of claim 1 , wherein the end of the first portion of the first waveguide of the array of waveguides is a surface spanning:
directly between a top and a bottom of the first waveguide of the array of waveguides on opposite sides of the optical path of the first waveguide of the array of waveguides, and
directly between a first side and a second side of the first waveguide of the array of waveguides on opposite sides of the optical path of the first waveguide of the array of waveguides.