Giant Farady effect in tow- and three-dimensional photonic crystals

二维和三维光子晶体中的巨型法拉第效应

• 批准号: 17540290
• 负责人: OHTAKA Kazuo
• 金额: $ 1.86万
• 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: 2005
• 资助国家: 日本
• 起止时间: 2005 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-17540290/
• 关键词: photonic crystals; Mie resonance; photonic crystals of spheres; Farady rotation; Anderson model; virtual bound states; マイクロ・ナノデバイス; 応用光学・量子光工学

The purposes of the present project are (a) formulating the magnetic-field effects on photonic fields in an isolated dielectric sphere, (b) completing the Hamiltonian formalism that covers (a), and (c) obtaining numerically the reliable data for the Farady rotation in photonic crystals made of spheres. (a) is done 100% and (b) is accomplished 50%. It is found that the Hamiltonian obtained is not sufficient to cover fully the photonic states when their damping constant, caused by electromagnetic leakage, is relatively large. Because of this unsolved problem, the project did not go so far as the end of aim (c). Instead, we concentrate on the existing discrepancy unsolved between experiment and theory on the Smith-Purcell spectra from photonic crystals. We found that the finiteness plays an essential role when the velocity of electron beam is relativistically high. We finally obtained the line shape which agrees very well with the experiment.

本项目的目的是（a）制定磁场对孤立电介质球中光子场的影响，（b）完成涵盖（a）的哈密顿形式主义，以及（c）以数字方式获得由球体构成的光子晶体中法拉第旋转的可靠数据。 (a) 完成 100%，(b) 完成 50%。研究发现，当电磁泄漏引起的阻尼常数较大时，所获得的哈密顿量不足以完全覆盖光子态。由于这个未解决的问题，该项目并未达到目标 (c) 的目的。相反，我们专注于光子晶体史密斯-珀塞尔光谱的实验与理论之间尚未解决的现有差异。我们发现，当电子束的速度相对论较高时，有限性起着至关重要的作用。我们最终得到了与实验非常吻合的线形。

项目成果

Hybridization theory between localized mode and free propagating modes for light scattering from a dielectric sphere

介电球光散射的局域模式和自由传播模式之间的杂化理论

• 发表时间: 2005
• 期刊: Physical Review E71
• 作者: J-i.Inoue;K.Ohtaka
• 通讯作者: K.Ohtaka

Exotic radiation from a photonic crystal excited by an ultrarelativistic electron beam.

• DOI: 10.1103/physreve.74.056601
• 发表时间: 2006-04
• 期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
• 作者: N. Horiuchi;T. Ochiai;Jun-ichi Inoue;Y. Segawa;Y. Shibata;K. Ishi;Yasuhiro Kondo;M. Kanbe;Hiroshi Miyazaki;F. Hinode;S. Yamaguti;Kazuo Ohtaka

Theory of unconventional Smith-Purcell radiation in finite-size photonic crystals.

• DOI: 10.1364/oe.14.007378
• 发表时间: 2006-05
• 期刊: Optics express
• 影响因子: 3.8
• 作者: T. Ochiai;K. Ohtaka

Springer Handbook of Lasers and Optics,分担執筆(Photonic Crystals の項)

施普林格激光和光学手册，合著者（光子晶体部分）

• 发表时间: 2007
• 作者: Tetsuyuki Ochiai;Kazuc Ohtaka;F.Traeger (ed)
• 通讯作者: F.Traeger (ed)

Electron energy loss and Smith-Purcell radiation in two- and three-dimensional photonic crystals

二维和三维光子晶体中的电子能量损失和史密斯-珀塞尔辐射

• 发表时间: 2005
• 期刊: Optics Express 13
• 作者: T.Ochiai;K.Ohtaka
• 通讯作者: K.Ohtaka