Bound states in the continuum with high orbital angular momentum in a dielectric rod with periodically modulated permittivity

Bound states in the continuum with high orbital angular momentum in a dielectric rod with... We report bound states in the radiation continuum (BICs) in a single infinitely long dielectric rod with periodically stepwise modulated permittivity alternating from ε1 to ε2. For ε2=1 in air the rod is equivalent to a stack of dielectric disks with permittivity ε1. Because of rotational and translational symmetries the BICs are classified by orbital angular momentum m and the Bloch wave vector β directed along the rod. For m=0 and β=0 the symmetry protected BICs have definite polarization and occur in a wide range of the radius of the rod and the dielectric permittivities. More involved BICs with m≠0,β=0 exist only for a selected radius of the rod at a fixed dielectric constant. The existence of robust Bloch BICs with β≠0,m=0 is demonstrated. Asymptotic limits to a homogeneous rod and to very thin disks are also considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Bound states in the continuum with high orbital angular momentum in a dielectric rod with periodically modulated permittivity

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Bound states in the continuum with high orbital angular momentum in a dielectric rod with periodically modulated permittivity

Abstract

We report bound states in the radiation continuum (BICs) in a single infinitely long dielectric rod with periodically stepwise modulated permittivity alternating from ε1 to ε2. For ε2=1 in air the rod is equivalent to a stack of dielectric disks with permittivity ε1. Because of rotational and translational symmetries the BICs are classified by orbital angular momentum m and the Bloch wave vector β directed along the rod. For m=0 and β=0 the symmetry protected BICs have definite polarization and occur in a wide range of the radius of the rod and the dielectric permittivities. More involved BICs with m≠0,β=0 exist only for a selected radius of the rod at a fixed dielectric constant. The existence of robust Bloch BICs with β≠0,m=0 is demonstrated. Asymptotic limits to a homogeneous rod and to very thin disks are also considered.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1050-2947
eISSN
1094-1622
D.O.I.
10.1103/PhysRevA.96.013841
Publisher site
See Article on Publisher Site

Abstract

We report bound states in the radiation continuum (BICs) in a single infinitely long dielectric rod with periodically stepwise modulated permittivity alternating from ε1 to ε2. For ε2=1 in air the rod is equivalent to a stack of dielectric disks with permittivity ε1. Because of rotational and translational symmetries the BICs are classified by orbital angular momentum m and the Bloch wave vector β directed along the rod. For m=0 and β=0 the symmetry protected BICs have definite polarization and occur in a wide range of the radius of the rod and the dielectric permittivities. More involved BICs with m≠0,β=0 exist only for a selected radius of the rod at a fixed dielectric constant. The existence of robust Bloch BICs with β≠0,m=0 is demonstrated. Asymptotic limits to a homogeneous rod and to very thin disks are also considered.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Jul 20, 2017

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