Optical power splitters including a non-linear waveguide taper

1. A structure for an optical power splitter, the structure comprising:

a first waveguide core providing an input port to the optical power splitter;

a second waveguide core providing a first output port from the optical power splitter;

a third waveguide core providing a second output port from the optical power splitter; and

a non-linear waveguide taper coupled to the first waveguide core at a first interface and coupled to the second waveguide core and the third waveguide core at a second interface, the non-linear waveguide taper including a longitudinal axis, a first curved section, and a second curved section, the first curved section having a first width dimension that increases with increasing distance along the longitudinal axis from the first interface, the second curved section having a second width dimension that increases with increasing distance along the longitudinal axis from the second interface, and the first curved section joined to the second curved section at a location along the longitudinal axis at which the first width dimension and the second width dimension are each equal to a maximum width of the non-linear waveguide taper,

wherein the non-linear waveguide taper has a first side surface and a second side surface opposite to the first side surface, the first side surface and the second side surface each extend from the first interface to the second interface, and the first side surface and the second side surface each have a curvature defined by an exponential function.

2. The structure of claim 1 wherein the first width dimension is equal to a first width at the first interface, the second width dimension is equal to a second width at the second interface, and the first width differs from the second width.

3. The structure of claim 2 wherein the first width is less than the second width.

4. The structure of claim 2 wherein the first waveguide core has a width dimension equal to the first width at the first interface with the non-linear waveguide taper.

5. The structure of claim 2 wherein the first width and the second width are unequal, and the maximum width is asymmetrically located along the longitudinal axis relative to the first interface and the second interface.

6. The structure of claim 2 wherein the first curved section of the non-linear waveguide taper has a first length that is dependent on a first ratio of the first width to the maximum width, and the second curved section of the non-linear waveguide taper has a second length that is dependent on a second ratio of the second width to the maximum width.

7. The structure of claim 1 wherein the maximum width is located along the longitudinal axis closer to the second interface than to the first interface.

8. The structure of claim 1 wherein the first waveguide core, the second waveguide core, the third waveguide core, and the non-linear waveguide taper comprise single-crystal silicon.

9. A structure for an optical power splitter, the structure comprising:

a first waveguide core providing an input port to the optical power splitter;

a second waveguide core providing a first output port from the optical power splitter;

a third waveguide core providing a second output port from the optical power splitter; and

a non-linear waveguide taper coupled to the first waveguide core at a first interface and coupled to the second waveguide core and the third waveguide core at a second interface, the non-linear waveguide taper including a longitudinal axis, a first curved section, and a second curved section, the first curved section having a first width dimension that increases with increasing distance along the longitudinal axis from the first interface, the second curved section having a second width dimension that increases with increasing distance along the longitudinal axis from the second interface, and the first curved section joined to the second curved section at a location along the longitudinal axis at which the first width dimension and the second width dimension are each equal to a maximum width of the non-linear waveguide taper,

wherein the non-linear waveguide taper includes a plurality of segments that are spaced apart along the longitudinal axis between the first interface and the second interface, the non-linear waveguide taper has a first side surface and a second side surface, and the plurality of segments are separated by a plurality of gaps that extend fully across the non-linear waveguide taper and through the first side surface and the second side surface.

10. The structure of claim 9 wherein the first width dimension is equal to a first width at the first interface, the second width dimension is equal to a second width at the second interface, and the first width differs from the second width.

11. The structure of claim 10 wherein the first width is less than the second width.

12. The structure of claim 10 wherein the first waveguide core has a width dimension equal to the first width at the first interface with the non-linear waveguide taper.

13. The structure of claim 10 wherein the first width and the second width are unequal, and the maximum width is asymmetrically located along the longitudinal axis relative to the first interface and the second interface.

14. The structure of claim 10 wherein the first curved section of the non-linear waveguide taper has a first length that is dependent on a first ratio of the first width to the maximum width, and the second curved section of the non-linear waveguide taper has a second length that is dependent on a second ratio of the second width to the maximum width.

15. The structure of claim 9 wherein the maximum width is located along the longitudinal axis closer to the second interface than to the first interface.

16. The structure of claim 9 wherein the first side surface and the second side surface each have a curvature defined by an exponential function.

17. The structure of claim 9 wherein the first waveguide core, the second waveguide core, the third waveguide core, and the non-linear waveguide taper comprise single-crystal silicon.

18. A structure for an optical power splitter, the structure comprising:

a first waveguide core providing an input port to the optical power splitter;

a second waveguide core providing a first output port from the optical power splitter;

a third waveguide core providing a second output port from the optical power splitter; and

a non-linear waveguide taper coupled to the first waveguide core at a first interface and coupled to the second waveguide core and the third waveguide core at a second interface, the non-linear waveguide taper including a longitudinal axis, a first curved section, and a second curved section, the first curved section having a first width dimension that increases with increasing distance along the longitudinal axis from the first interface, the second curved section having a second width dimension that increases with increasing distance along the longitudinal axis from the second interface, and the first curved section joined to the second curved section at a location along the longitudinal axis at which the first width dimension and the second width dimension are each equal to a maximum width of the non-linear waveguide taper,

wherein the second waveguide core is coupled to a first portion of the second interface, the third waveguide core is coupled to a second portion of the second interface, the non-linear waveguide taper includes a side surface at the second interface that is arranged between the first portion of the second interface and the second portion of the second interface, the second waveguide core includes a first taper that couples the second waveguide core to the first portion of the second interface, and the third waveguide core includes a second taper that couples the third waveguide core to the second portion of the second interface.

19. The structure of claim 18 wherein the side surface of the non-linear waveguide taper is arranged at the second interface between the first taper and the second taper.

20. The structure of claim 19 wherein the side surface of the non-linear waveguide taper is aligned along the longitudinal axis with the first waveguide core at the first interface.