Three-dimensional complete bandgap photonic crystal formed by crystal modification
First Claim
Patent Images
1. A complete bandgap 3D photonic crystal, comprising:
- a first periodic array of unit cells formed in a substrate from first voids connected by imaginary bonds, wherein the first voids are completely separated from each other by a first portion of the substrate, and wherein the first periodic array alone forms an incomplete bandgap; and
a second periodic array of second voids, wherein the second voids are completely separated from each other by a second portion of the substrate and completely separated from the first voids by a third portion of the substrate, wherein each second void is arranged along one of the imaginary bonds so as to modify each unit cell to form a complete photonic bandgap.
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Abstract
A method of forming a three-dimensional (3D) complete photonic bandgap crystal by crystal modification is disclosed. The 3D crystal includes a first periodic array of unit cells formed from first voids connected by imaginary bonds. The first periodic array forms an incomplete bandgap. The first voids may be formed in any one of a number of shapes, including spherical. The 3D crystal further includes a second periodic array of second voids. The second voids are arranged along the imaginary bonds so as to modify each unit cell. The modification of the unit cells is designed to form a complete photonic bandgap.
21 Citations
58 Claims
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1. A complete bandgap 3D photonic crystal, comprising:
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a first periodic array of unit cells formed in a substrate from first voids connected by imaginary bonds, wherein the first voids are completely separated from each other by a first portion of the substrate, and wherein the first periodic array alone forms an incomplete bandgap; and a second periodic array of second voids, wherein the second voids are completely separated from each other by a second portion of the substrate and completely separated from the first voids by a third portion of the substrate, wherein each second void is arranged along one of the imaginary bonds so as to modify each unit cell to form a complete photonic bandgap. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. A complete bandgap 3D photonic crystal, comprising:
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a first periodic array of diamond unit cells formed in a substrate from first voids connected by imaginary bonds, wherein the first voids are completely separated from each other by a first portion of the substrate, and wherein the first periodic array forms an incomplete bandgap; and a second periodic array of second voids, wherein the second voids are completely separated from each other by a second portion of the substrate and completely separated from the first voids by a third portion of the substrate, and wherein each second void is arranged along one of the imaginary bonds so as to modify each diamond unit cell to form a complete photonic bandgap. - View Dependent Claims (10, 11, 12, 13, 14, 15)
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16. A complete bandgap 3D photonic crystal comprising:
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a periodic array of unit cells formed in a substrate, wherein each unit cell consists of a plurality of first voids joined by imaginary bonds, wherein the first voids are completely separated from each other by a first portion of the substrate, and wherein the periodic array forms an incomplete bandgap; and one or more second voids formed along respective one or more of the imaginary bonds so as to modify each unit cell to create the complete photonic bandgap, wherein the second voids are completely separated from each other by a second portion of the substrate and completely separated from the first voids by a third portion of the substrate. - View Dependent Claims (17, 18, 19, 20, 21, 22)
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23. A three-dimensional photonic crystal, comprising:
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a periodic array of diamond unit cells each consisting of a plurality of first voids formed in a substrate with a refractive index, the first voids connected by imaginary tetrahedral bonds, wherein the first voids are completely separated from each other by a first portion of the substrate; a plurality of second voids, with at least one second void formed along one of the imaginary tetrahedral bonds, wherein the second voids are completely separated from each other by a second portion of the substrate and completely separated from the first voids by a third portion of the substrate; and wherein the plurality of first voids has an associated filling ratio that in combination with the substrate refractive index results in an incomplete bandgap, and wherein the second plurality of voids increases the filling ratio so as to form a complete bandgap. - View Dependent Claims (24, 25, 26, 27, 28)
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29. A three-dimensional photonic crystal product formed by the process of:
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forming a plurality of first voids in a substrate, including arranging the first voids in a period array of unit cells with imaginary bonds connecting the first voids in the unit cell, such that the period array has an incomplete bandgap, wherein the first voids are completely separated from each other by a first portion of the substrate; and forming a plurality of second voids in the substrate along at least one of the imaginary bonds in each unit cell so as to form a complete bandgap, wherein the second voids are completely separated from each other by a second portion of the substrate and completely separated from the first voids by a third portion of the substrate. - View Dependent Claims (30, 31, 32, 33, 34, 35, 36, 37)
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38. A three-dimensional complete bandgap photonic crystal product formed by the process comprising:
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providing a substrate having a refractive index of 2 or greater for a select wavelength; forming in the substrate a first periodic array of first voids from unit cells connected by imaginary bonds, wherein the first periodic array has an incomplete bandgap for the select wavelength, and wherein the first voids are completely separated from each other by a first portion of the substrate; and forming a second periodic array of second voids, wherein the second voids are arranged at least one each along each of the imaginary bonds so as to form the complete bandgap at the select wavelength, and wherein the second voids are completely separated from each other by a second portion of the substrate and completely separated from the first voids by a third portion of the substrate. - View Dependent Claims (39, 40, 41, 42)
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43. A method of forming a three-dimensional complete bandgap photonic crystal, comprising:
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forming a periodic array of unit cells in a substrate, wherein each unit cell consists of a plurality of first voids joined by imaginary bonds, wherein the first voids are completely separated from each other by a first portion of the substrate, and wherein the periodic array forms an incomplete bandgap; and forming one or more second voids along respective one or more of the imaginary bonds in each unit cell so as to modify the periodic array to create the complete photonic bandgap, wherein the second voids are completely separated from each other by a second portion of the substrate and completely separated from the first voids by a third portion of the substrate. - View Dependent Claims (44, 45, 46, 47, 48, 49, 50, 51)
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52. A complete bandgap 3D photonic crystal, comprising:
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a first periodic array of unit cells formed in a substrate from first voids connected by imaginary bonds, wherein the first voids are completely separated from each other by a first portion of the substrate, and wherein the first periodic array alone forms an incomplete bandgap; and a second periodic array of second voids, wherein the second voids are completely separated from each other by a second portion of the substrate, wherein each second void is arranged along one of the imaginary bonds for modifying each unit cell to form a complete photonic bandgap. - View Dependent Claims (53, 54, 55, 56, 57, 58)
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Specification