Bloch bound states in the radiation continuum in a periodic array of dielectric rods

被引:181
作者
Bulgakov, Evgeny N. [1 ]
Sadreev, Almas F. [1 ]
机构
[1] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
来源
PHYSICAL REVIEW A | 2014年 / 90卷 / 05期
基金
俄罗斯科学基金会;
关键词
SCATTERING; WAVES;
D O I
10.1103/PhysRevA.90.053801
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider an infinite periodic array of dielectric rods in vacuum with the aim to demonstrate three types of Bloch bound states in the continuum (BSCs): symmetry protected with a zero Bloch vector, embedded in one diffraction channel with nonzero Bloch vector, and embedded in two and three diffraction channels. The first and second types of the BSC exist for a wide range of material parameters of the rods, while the third occurs only at a specific value of the radius of the rods. We show that the second type supports the power flux along the array. In order to find BSCs we put forward an approach based on the expansion over the Hankel functions. We show how the BSC reveals itself in the scattering function when the singular BSC point is approached along a specific path in the parametric space.
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页数:7
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