Three-dimensional periodic structure and functional element including the same
First Claim
1. A three-dimensional periodic structure exhibiting a photonic band gap comprising:
- a first layer including a plurality of columnar structures spaced apart by a predetermined interval;
a second layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in a direction different from that of the columnar structures in the first layer;
a third layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in the same direction as that of the columnar structures in the first layer;
a fourth layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in the same direction as that of the columnar structures in the second layer;
and additional layers, each including one layer containing discrete structures disposed discretely in a plane parallel to each of the four layers,wherein the first layer to the fourth layer are stacked sequentially with the additional layer between the individual layers,the first layer and the third layer are stacked such that the columnar structures contained in the two layers mutually shift by one-half the predetermined interval in a direction perpendicular to the direction of the extension of the columnar structures,the second layer and the fourth layer are stacked such that the columnar structures contained in the two layers mutually shift by one-half the predetermined interval in a direction perpendicular to the direction of the extension of the columnar structures,discrete structures contained in the additional layers are disposed at the positions corresponding to the intersections of the columnar structures, andan area of the discrete structure in the plane parallel to each of the four layers is larger than an area of the intersection of the columnar structures.
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Abstract
A three-dimensional periodic structure exhibiting a complete photonic band gap in a wide wavelength range and being readily produced, as well as a functional element including the same, is provided. In the three-dimensional periodic structure exhibiting a photonic band gap according to the present invention, layers composed of a plurality of columnar structures spaced at predetermined intervals are stacked sequentially with additional layers therebetween. Discrete structures contained in the additional layers are disposed at the positions corresponding to the intersections of the columnar structures, and the area of the discrete structure is larger than the area of the intersection region of the above-described columnar structures.
48 Citations
14 Claims
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1. A three-dimensional periodic structure exhibiting a photonic band gap comprising:
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a first layer including a plurality of columnar structures spaced apart by a predetermined interval; a second layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in a direction different from that of the columnar structures in the first layer; a third layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in the same direction as that of the columnar structures in the first layer; a fourth layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in the same direction as that of the columnar structures in the second layer; and additional layers, each including one layer containing discrete structures disposed discretely in a plane parallel to each of the four layers, wherein the first layer to the fourth layer are stacked sequentially with the additional layer between the individual layers, the first layer and the third layer are stacked such that the columnar structures contained in the two layers mutually shift by one-half the predetermined interval in a direction perpendicular to the direction of the extension of the columnar structures, the second layer and the fourth layer are stacked such that the columnar structures contained in the two layers mutually shift by one-half the predetermined interval in a direction perpendicular to the direction of the extension of the columnar structures, discrete structures contained in the additional layers are disposed at the positions corresponding to the intersections of the columnar structures, and an area of the discrete structure in the plane parallel to each of the four layers is larger than an area of the intersection of the columnar structures. - View Dependent Claims (4, 6, 7, 8, 9, 10, 11, 12, 13, 14)
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2. A three-dimensional periodic structure exhibiting a photonic band gap comprising:
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a first layer including a plurality of columnar structures spaced apart by a predetermined interval; a second layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in a direction different from that of the columnar structures in the first layer; a third layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in the same direction as that of the columnar structures in the first layer; a fourth layer including a plurality of columnar structures spaced apart by a predetermined interval, the columnar structures extending in the same direction as that of the columnar structures in the second layer; and additional layers, each including at least two layers containing discrete structures disposed discretely in a plane parallel to each of the four layers, wherein the first layer to the fourth layer are stacked sequentially with the additional layer between the individual layers, the first layer and the third layer are stacked such that the columnar structures contained in the two layers mutually shift by one-half the predetermined interval in a direction perpendicular to the direction of the extension of the columnar structures, the second layer and the fourth layer are stacked such that the columnar structures contained in the two layers mutually shift by one-half the predetermined interval in a direction perpendicular to the direction of the extension of the columnar structures, and discrete structures contained in the additional layers are disposed at the positions corresponding to the intersections of the columnar structures. - View Dependent Claims (3, 5)
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Specification