Abstract: Provided is a resonator using a three-dimensional photonic crystal. In the resonator, a range of choice of a resonance wavelength is wide and a desirable electric field distribution is obtained. The resonator according to the present invention includes a plurality of point defects provided in the three-dimensional photonic crystal. At least one of the plurality of point defects does not include a eigenmode in a photonic band gap of the three-dimensional photonic crystal.

Abstract: A three-dimensional photonic crystal includes a first region including a first layer, a second layer, a third layer, a fourth layer and a second region including the first layer, the second layer, the third layer, the fourth layer, and additional layers including discrete structures spaced from each other. The horizontal interval and the vertical interval of the rod-shaped structures in the first region are the same as those of the rod-shaped structures in the second region, respectively.

Abstract: At least one exemplary embodiment is directed to a method for manufacturing a three-dimensional photonic crystal including a plurality of stacked layers having periodic structures where the thickness of the periodic structures in a layer are adjusted such that the layer satisfies the following equation: neff1×H1×M=neff×H wherein H1 represents the actual thickness of the layer, neff1 represents the actual refractive index of the periodic refractive index structure, H represents the design thickness of the layer, neff represents the design effective refractive index of the periodic refractive index structure, and M represents a coefficient inclusive and between 0.5 and 2.0.

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 square columns spaced apart by a predetermined interval are stacked sequentially with additional layers therebetween, rectangular parallelepipeds contained in the additional layers are disposed at the positions corresponding to the intersections of the square columns, and 1.21?W1/W?2.39 and W/W1<W2/W are satisfied, where W1 and W2 represent lengths of sides of the rectangular parallelepiped and W represents the width of the square column, each in a plane parallel to the layer containing the square columns.

Abstract: A resonator is provided which is produced by a defect formed in a three-dimensional photonic crystal. The three-dimensional photonic crystal can include layers containing a plurality of columnar structures with discrete structures in sublayers.

Abstract: A three-dimensional photonic crystal operating at a plurality of design wavelengths, in which the photonic band gap can be adjusted to a desired wavelength band without changing the lattice period, and an optical element that can contain a defect resonator or a defect waveguide in the three-dimensional photonic crystal are provided.

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.

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.

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 square columns spaced apart by a predetermined interval are stacked sequentially with additional layers therebetween, rectangular parallelepipeds contained in the additional layers are disposed at the positions corresponding to the intersections of the square columns, and 1.21?W1/W?2.39 and W/W1<W2/W are satisfied, where W1 and W2 represent lengths of sides of the rectangular parallelepiped and W represents the width of the square column, each in a plane parallel to the layer containing the square columns.