Waveguides having patterned, flattened modes
Field-flattening strands may be added to and arbitrarily positioned within a field-flattening shell to create a waveguide that supports a patterned, flattened mode. Patterning does not alter the effective index or flattened nature of the mode, but does alter the characteristics of other modes. Compared to a telecom fiber, a hexagonal pattern of strands allows for a three-fold increase in the flattened mode's area without reducing the separation between its effective index and that of its bend-coupled mode. Hexagonal strand and shell elements prove to be a reasonable approximation, and, thus, to be of practical benefit vis-à-vis fabrication, to those of circular cross section. Patterned flattened modes offer a new and valuable path to power scaling.
1. A waveguide that propagates a field-flattened preferred mode, said waveguide comprising:
one or more strands, a shell that surrounds all of said one or more strands, and a cladding that surrounds said shell;
wherein said shell comprises a shell refractive index structure configured to induce the field of said preferred mode to have a gradient of zero or nearly zero along the interior perimeter of said shell refractive index structure and to decay with increasing distance in said cladding; and
wherein each of said one or more strands comprises a strand refractive index structure configured to induce the field of said preferred mode to have a gradient of zero or nearly zero along the exterior perimeter of said strand refractive index structure and wherein the centroid of at least one of said strands is displaced from the centroid of said shell.
2. The waveguide of claim 1 , wherein said shell refractive index structure comprises one or more shell layers, wherein said strand refractive index structure of said one or more strands comprises strand layers and wherein at least one of the thickness and refractive index of said strand layers and at least one of the thickness and refractive index of said shell layers varies with position within said strand layers and said shell layers respectively.
3. The waveguide of claim 1 , wherein said strand refractive index structure of at least one of said one or more strands is configured to induce said field of said preferred mode to have a gradient of zero or nearly zero along the interior perimeter of said strand refractive index structure.
4. The waveguide of claim 3 , wherein the magnitude of the field inside all strands is about the same.
5. The waveguide of claim 3 , wherein the magnitude of the field inside all strands varies systematically with position.
6. The waveguide of claim 3 , wherein the magnitude of the field inside the strands differs from the magnitude of the field inside the shell and outside of the strands.
7. The waveguide of claim 1 , wherein said strand refractive index structure of at least one of said one or more strands is configured to induce the field of said preferred mode to not substantially vary with position inside said one or more strands.
8. The waveguide of claim 7 , wherein one or more of said one or more shell layers, and one or more of said strand layers comprise multiple solid or hollow pieces and wherein each said solid or hollow piece comprises a cross-sectional shape selected from the group consisting of substantially circular, elliptical, rectangular and hexagonal.
9. The waveguide of claim 7 , wherein one or more of said shell layers or one or more of said strand layers comprise a cross-sectional shape selected from the group consisting of substantially circular, elliptical, rectangular and hexagonal cross-section.
10. The waveguide of claim 1 , wherein said waveguide is twisted continuously or periodically.
11. The waveguide of claim 1 , further comprising a coating on said shell, wherein said coating, causes said field to cross through zero more than once.
12. The waveguide of claim 1 , further comprising a coating on at least one strand of said one or more strands, wherein said coating causes said field to cross through zero more than once.
13. The waveguide of claim 1 , further comprising a first coating on said shell and a second coating on at least one strand of said one or more strands, wherein said first coating causes said field to cross through zero more than once and wherein said second coating causes said field to cross through zero more than once.
14. The waveguide of claim 1 , wherein at least one of said one or more strands comprises a rare-earth element dopant.
15. The waveguide of claim 1 , wherein said shell comprises a rare-earth element dopant.
16. The waveguide of claim 1 , wherein at least one of said one or more strands comprises a hollow core and wherein said cladding comprises a regular array of holes allowing light to propagate in said hollow core.
17. The waveguide of claim 1 , wherein said shell refractive index structure comprises one or ore shell layers, wherein said strand refractive index structure of said one or more strands comprises strand layers and wherein at least one of the thickness and refractive index of said strand layers or at least one of the thickness and refractive index of said shell layers varies with position within said strand layers or said shell layers respectively.