T-shaped arrayed waveguide grating
An arrayed waveguide grating. The arrayed waveguide grating includes two star couplers and an array of waveguides connecting the star couplers. The T-shaped geometry of the array of waveguides makes possible an AWG with an arbitrarily large free spectral range in a compact form factor.
1. An arrayed waveguide grating, comprising:
a first star coupler;
a second star coupler; and
an array of waveguides connecting the first star coupler and the second star coupler,
each of the waveguides having four bends, each of the bends having a change of direction of at least 80 degrees,
wherein a first waveguide of the array of waveguides has, along the first waveguide in a direction from the first star coupler to the second star coupler:
a first clockwise bend;
a second clockwise bend following the first clockwise bend;
a first counterclockwise bend following the second clockwise bend;
a second counterclockwise bend following the first counterclockwise bend;
a third clockwise bend following the second counterclockwise bend; and
a fourth clockwise bend following the third clockwise bend, and
wherein:
all of the waveguides of the array of waveguides have the same physical length, and
each of a subset of the waveguides includes a section with a respective adjustable effective index of refraction,
the arrayed waveguide grating being tunable, by adjustment of the respective effective indices of refraction, to have, for any pair of the waveguides of the array of waveguides, an effective length difference of zero.
2. An arrayed waveguide grating, comprising:
a first star coupler;
a second star coupler; and
an array of waveguides connecting the first star coupler and the second star coupler,
each of the waveguides having four bends, each of the bends having a change of direction of at least 80 degrees,
wherein a first waveguide of the array of waveguides extends continuously from the first star coupler to the second star coupler and has, along the first waveguide in a direction from the first star coupler to the second star coupler:
a first clockwise bend;
a second clockwise bend following the first clockwise bend;
a first counterclockwise bend following the second clockwise bend;
a second counterclockwise bend following the first counterclockwise bend;
a third clockwise bend following the second counterclockwise bend; and
a fourth clockwise bend following the third clockwise bend, and
wherein:
all of the waveguides of the array of waveguides have the same physical length, and
each of a subset of the waveguides includes a section with a respective adjustable effective index of refraction,
the arrayed waveguide grating being tunable, by adjustment of the respective effective indices of refraction, to have, for any pair of the waveguides of the array of waveguides, an effective length difference of zero.
3. The arrayed waveguide grating of claim 1 , wherein each of the bends has a minimum radius of curvature of less than 200 microns.
4. The arrayed waveguide grating of claim 1 , wherein the arrayed waveguide grating has 18 channels and a minimum channel spacing of the arrayed waveguide grating is at least 80 GHz.
5. The arrayed waveguide grating of claim 4 , wherein the array of waveguides comprises 12 waveguides including the first waveguide.
6. The arrayed waveguide grating of claim 5 , wherein each of the bends has a minimum radius of curvature of less than 200 microns.
7. The arrayed waveguide grating of claim 5 , wherein the arrayed waveguide grating has 18 channels at the second star coupler and a minimum channel spacing of the arrayed waveguide grating is at least 80 GHz.
8. The arrayed waveguide grating of claim 7 , wherein the array of waveguides comprises 12 waveguides including the first waveguide.
9. The arrayed waveguide grating of claim 1 , wherein the first waveguide further has, along the waveguide in a direction from the first star coupler to the second star coupler:
a first curved section preceding the first clockwise bend, the first curved section having:
a minimum radius of curvature less than 3 mm and greater than 1 mm, and
a change of direction of less than 10 degrees.
10. The arrayed waveguide grating of claim 1 , wherein, along the entire length of the first waveguide, the rate of change of curvature is less than 15/mm 2 .
11. The arrayed waveguide grating of claim 1 , wherein the first waveguide further has:
a first straight section between the first clockwise bend and the second clockwise bend, the first straight section having a maximum curvature less than 0.01/mm; and
a second straight section between the third clockwise bend and the fourth clockwise bend, the second straight section having a maximum curvature less than 0.01/mm.
12. The arrayed waveguide grating of claim 1 , wherein the first waveguide further has a first straight section between the first counterclockwise bend and the second counterclockwise bend, the first straight section having a maximum curvature less than 0.01/mm.
13. The arrayed waveguide grating of claim 1 , wherein the arrayed waveguide grating has an overall length and an overall width, the product of the overall length and an overall width being less than 40 mm 2 .
14. The arrayed waveguide grating of claim 13 , wherein the arrayed waveguide grating has a minimum channel separation of at least 80 GHz.
15. The arrayed waveguide grating of claim 14 , wherein the arrayed waveguide grating has at least 18 channels.
16. The arrayed waveguide grating of claim 2 , wherein the first waveguide further has, along the waveguide in a direction from the first star coupler to the second star coupler:
a first curved section preceding the first clockwise bend, the first curved section having:
a minimum radius of curvature less than 3 mm and greater than 1 mm, and
a change of direction of less than 10 degrees.
17. The arrayed waveguide grating of claim 2 , wherein, along the entire length of the first waveguide, the rate of change of curvature is less than 15/mm 2 .
18. The arrayed waveguide grating of claim 2 , wherein the first waveguide further has:
a first straight section between the first clockwise bend and the second clockwise bend, the first straight section having a maximum curvature less than 0.01/mm; and
a second straight section between the third clockwise bend and the fourth clockwise bend, the second straight section having a maximum curvature less than 0.01/mm.
19. The arrayed waveguide grating of claim 2 , wherein the first waveguide further has a first straight section between the first counterclockwise bend and the second counterclockwise bend, the first straight section having a maximum curvature less than 0.01/mm.
20. The arrayed waveguide grating of claim 2 , wherein the arrayed waveguide grating has an overall length and an overall width, the product of the overall length and an overall width being less than 40 mm 2 .