Photonic crystal waveguide
First Claim
1. A two-dimensional photonic crystal slab waveguide in which a part of holes in a lattice structure of a two-dimensional photonic crystal slab do not exist linearly so that a line defect is formed, wherein:
- a first width which is a distance between centers of nearest two lattice points located on both sides of said line defect is different from a second width which is a distance between centers of nearest two lattice points located on both sides of a line defect in a normal two-dimensional photonic crystal slab waveguide which simply lacks holes of a single line, wherein said first width is a value from 0.5 times to 0.85 times of said second width.
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Abstract
A two-dimensional photonic crystal slab waveguide is provided in which a line defect is formed, wherein a first width which is a distance between centers of nearest two lattice points located on both sides of the line defect is different from a second width which is a corresponding distance in a normal two-dimensional photonic crystal slab waveguide. In addition, a two-dimensional photonic crystal slab waveguide is provided in which low refractive index columns in a optical waveguide part are placed at positions shifted from normal positions in a normal two-dimensional photonic crystal slab.
84 Citations
17 Claims
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1. A two-dimensional photonic crystal slab waveguide in which a part of holes in a lattice structure of a two-dimensional photonic crystal slab do not exist linearly so that a line defect is formed, wherein:
a first width which is a distance between centers of nearest two lattice points located on both sides of said line defect is different from a second width which is a distance between centers of nearest two lattice points located on both sides of a line defect in a normal two-dimensional photonic crystal slab waveguide which simply lacks holes of a single line, wherein said first width is a value from 0.5 times to 0.85 times of said second width. - View Dependent Claims (2, 3, 4)
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5. A two-dimensional photonic crystal slab waveguide in which a part of holes in a lattice structure of a two-dimensional photonic crystal slab do not exist linearly so that a line defect is formed, wherein:
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a first width which is a distance between centers of nearest-two lattice points located on both sides of said line defect is different from a second width which is a distance between centers of nearest two lattice points located on both sides of a line defect in a normal two-dimensional photonic crystal slab waveguide which simply lacks holes of a single line;
wherein said first width is wider than said second width in which a single-mode appears in a high frequency side of a light line of cladding in a dispersion relation of waveguiding modes of said two-dimensional photonic crystal slab waveguide having said first width, and said first width is a value from 1.3 times to 1.6 times of said second width. - View Dependent Claims (6, 7, 8)
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9. A two-dimensional photonic crystal slab waveguide in which dielectric cylindrical or polygon columns having lower refractive index than that of a dielectric thin-film slab are provided in said dielectric thin-film slab in a two-dimensional lattice pattern, and said dielectric thin-film slab is sandwiched by a top cladding layer and a bottom cladding layer which have lower refractive index than that of said dielectric thin-film slab, wherein:
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dielectric columns in an optical waveguide part in said two-dimensional photonic crystal slab waveguide are located at positions which are shifted in an optical propagation direction from positions at which said dielectric columns should be positioned in a normal two-dimensional photonic crystal slab. - View Dependent Claims (10, 11, 12, 13, 14, 15, 16, 17)
a first diameter of said dielectric columns in said optical waveguide part is different from a second diameter of other dielectric columns located in parts other than said optical waveguide part, and said first diameter is a value by which said dielectric columns does not contact with said other dielectric columns.
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11. The two-dimensional photonic crystal slab waveguide as claimed in claim 9, wherein each dielectric column of dielectric columns in said optical waveguide part is apart from a position at which said each dielectric column should be positioned in said normal two-dimensional photonic crystal slab by a half of the lattice constant of said normal two-dimensional photonic crystal slab.
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12. The two-dimensional photonic crystal slab waveguide as claimed in claim 9, wherein said dielectric cylindrical or polygon columns are arranged in a triangle lattice pattern having a lattice constant “
- a”
, a radius or a half-breadth of said dielectric cylindrical or polygon columns is from 0.2a to 0.45a, and said radius or half-breadth is determined such that said dielectric cylindrical or polygon columns do not contact with dielectric columns in said optical waveguide part.
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13. The two-dimensional photonic crystal slab waveguide as claimed in claim 12, wherein:
a refractive index of said dielectric thin-film slab is from 3.0 to 4.5, and each of refractive indices of parts other than said dielectric thin-film slab is from 1.0 to 1.7.
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14. The two-dimensional photonic crystal slab waveguide as claimed in claim 9, wherein said dielectric cylindrical or polygon columns are arranged in a square lattice pattern having a lattice constant “
- a”
, a radius or a half-breadth of said dielectric cylindrical or polygon columns is from 0.35a to 0.45a, and said radius or half-breadth is determined such that wherein said dielectric cylindrical or polygon columns do not contact with dielectric columns in said optical waveguide part.
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15. The two-dimensional photonic crystal slab waveguide as claimed in claim 14, wherein:
a refractive index of said dielectric thin-film slab is from 3.0 to 4.5, and each of refractive indices of parts other than said dielectric thin-film slab is from 1.0 to 1.7.
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16. The two-dimensional photonic crystal slab waveguide as claimed in claim 9, wherein:
silicon, germanium, gallium arsenide base compound, indium phosphide base compound, or indium antimony base compound is used as a material of said dielectric thin-film slab, and silica, polyimide base organic compound, epoxy base organic compound, acrylic base organic compound, air or vacuum is used as a material of parts other than said dielectric thin-film slab.
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17. The two-dimensional photonic crystal slab waveguide as claimed in claim 16, wherein said two-dimensional photonic crystal slab waveguide is formed by using a Silicon-On-Insulator (SOI) substrate.
Specification