Modeling of the origin of photonic bands in the arrayed dielectric and metallic spheres

阵列介电球和金属球中光子带起源的建模

• 批准号: 14540293
• 负责人: OHTAKA Kazuo
• 金额: $ 1.6万
• 依托单位: Chiba University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2002
• 资助国家: 日本
• 起止时间: 2002 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540293/
• 关键词: photonic crystal; leaky photonic band; omni-directional band gap; density of states of photons; Smith-Purcell radiation; Anderson model; Mie resonance; Mie mode; 寿命

1.We have derived the model Hamiltonian to be called the photonic Anderson model, in which the coupling constant between a localized photonic state and an outer plane-wave state is obtained. The model Hamiltonian leads to an optical response of a spherical dielectric system which agrees quite well with the numerical calculation.2.We derived the formula of the density of states of photons of photonic crystals with a flat surface, which takes account of the finite lifetime of photonic states arising from the leakage of the photonic energy to the exterior region. By using the formula, the calculated photon emission spectrum from an electron traveling near the surface of photonic crystal is analyzed and is shown to be due to the excitation of leaky photonic bands in it.3.The system called uniformly distributed photonic scatterers is proposed, in which a group of dielectric cylinders are distributed randomly with a sole restriction that the mutual spacing of cylinders is not smaller than a certain minimal value. It is shown that this system has a clear-cut and robust frequency region where the density of states of photons vanishes almost completely. The device application making use of this peculiar system is proposed.

1.我们导出了称为光子安德森模型的模型哈密顿量，在该模型中，我们得到了局域光子态与外平面波态之间的耦合常数。模型哈密顿量导出的球形介质系统的光学响应与数值计算结果吻合得很好。2.推导了平面光子晶体光子态密度的计算公式，该公式考虑了光子能量泄漏到外部区域所导致的光子态寿命有限的情况。利用该公式，分析了电子在光子晶体表面附近运动时的光子发射谱，并指出这是由于光子晶体中的光子漏带激发引起的。3.提出了均匀分布光子散射体系统，其中一组介质圆柱体随机分布，唯一的限制是圆柱体的相互间距不小于某一最小值，值结果表明，该系统具有清晰且鲁棒的频率区域，在该区域光子态密度几乎完全消失。提出了利用这种特殊系统的装置应用。

项目成果

K.AMFMIYA, K.OHTAKA: "Calculation of Transmittance of Light for an Array of Dielectric Rods Using Vector Cylindrical Waves : Complex Unit Cells"J.Phys.Soc.Jpn.. 72. 1244 (2003)

K.AMFMIYA、K.OHTAKA：“使用矢量圆柱波计算介电棒阵列的光透射率：复杂晶胞”J.Phys.Soc.Jpn.. 72. 1244 (2003)

S.Yamaguti: "Role of photonic crystals used in laser acceleration and in the free electron laser"Phys. Rev.. B66. 85209-85219 (2002)

S.Yamaguti：“光子晶体在激光加速和自由电子激光器中的作用”Phys。

K.Yamamoto, H.Miyazaki, K.Obtaka et al.: "Observation of Millimeter-Wave Radiation Generated by the Interaction between an Electron Beam and a Photonic Crystal"Phys.Rev.B. (in press).

K.Yamamoto、H.Miyazaki、K.Obtaka 等人：“电子束与光子晶体相互作用产生的毫米波辐射的观察”Phys.Rev.B。

H Miyazaki, M.Hase, H.T.Miyazaki et al.: "Photonic material for designing arbitrarily shaped waveguides in two dimension"Phys.Rev.. B67. 235109 (2003)

H Miyazaki、M.Hase、H.T.Miyazaki 等人：“用于设计二维任意形状波导的光子材料”Phys.Rev.. B67。

M.Hase: "Optical transmission spectra of two-dimensional quasiperiodic photonic crystals based on Penrose-tiling and octagonal-tiling systems"Jour. Alloys and Compounds. 342. 455-459 (2002)

M.Hase：“基于彭罗斯平铺和八边形平铺系统的二维准周期光子晶体的光透射光谱”Jour。