Photonic Hooks Generated by a Concave Micro-Cylinder Based on Structure-Constrained Functions

Owing to its crooked trajectory and small full width at half-maximum, photonic hook (PH) has attracted wide attention since its inception and experimental confirmation. However, the present generation and regulation of PH are mostly dependent on the breaking of the symmetry of the system composed of...

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Main Authors: Jialing Zhang, Guoxia Han, Ze Yang, Shuyue Xie, Kaiyun Zhan
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/13/9/1434
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author Jialing Zhang
Guoxia Han
Ze Yang
Shuyue Xie
Kaiyun Zhan
author_facet Jialing Zhang
Guoxia Han
Ze Yang
Shuyue Xie
Kaiyun Zhan
author_sort Jialing Zhang
collection DOAJ
description Owing to its crooked trajectory and small full width at half-maximum, photonic hook (PH) has attracted wide attention since its inception and experimental confirmation. However, the present generation and regulation of PH are mostly dependent on the breaking of the symmetry of the system composed of the incident light and the regular structure particles, which inevitably limits the research of PH. In this work, the PH of the irregular particles is demonstrated with the help of a structure-constrained function (SCF). By varying the coefficients of the function, characteristic parameters of the PH, such as the bending angle, the effective length and the bending direction, can be effectively modulated. Meanwhile, high-quality PHs with a bending angle of up to 46<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>∘</mo></msup></semantics></math></inline-formula> and an effective length of up to 11.90<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>, as well as PHs with three bends, can be obtained using this method. The formation mechanism of the PH is revealed by simulating the distribution of the field intensity with the finite element method and analyzing with ray optics. This is the first time that we introduce a function into the investigation of PH, paving a new way for a more interesting exploration of PH.
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spelling doaj.art-6d612041bcc544aba0f7a0a2b6f0c0882023-11-23T17:49:27ZengMDPI AGMicromachines2072-666X2022-08-01139143410.3390/mi13091434Photonic Hooks Generated by a Concave Micro-Cylinder Based on Structure-Constrained FunctionsJialing Zhang0Guoxia Han1Ze Yang2Shuyue Xie3Kaiyun Zhan4College of Science, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Science, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Science, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Science, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Science, China University of Petroleum (East China), Qingdao 266580, ChinaOwing to its crooked trajectory and small full width at half-maximum, photonic hook (PH) has attracted wide attention since its inception and experimental confirmation. However, the present generation and regulation of PH are mostly dependent on the breaking of the symmetry of the system composed of the incident light and the regular structure particles, which inevitably limits the research of PH. In this work, the PH of the irregular particles is demonstrated with the help of a structure-constrained function (SCF). By varying the coefficients of the function, characteristic parameters of the PH, such as the bending angle, the effective length and the bending direction, can be effectively modulated. Meanwhile, high-quality PHs with a bending angle of up to 46<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>∘</mo></msup></semantics></math></inline-formula> and an effective length of up to 11.90<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>, as well as PHs with three bends, can be obtained using this method. The formation mechanism of the PH is revealed by simulating the distribution of the field intensity with the finite element method and analyzing with ray optics. This is the first time that we introduce a function into the investigation of PH, paving a new way for a more interesting exploration of PH.https://www.mdpi.com/2072-666X/13/9/1434photonic hookstructure-constrained functioneffective lengthbending angle
spellingShingle Jialing Zhang
Guoxia Han
Ze Yang
Shuyue Xie
Kaiyun Zhan
Photonic Hooks Generated by a Concave Micro-Cylinder Based on Structure-Constrained Functions
Micromachines
photonic hook
structure-constrained function
effective length
bending angle
title Photonic Hooks Generated by a Concave Micro-Cylinder Based on Structure-Constrained Functions
title_full Photonic Hooks Generated by a Concave Micro-Cylinder Based on Structure-Constrained Functions
title_fullStr Photonic Hooks Generated by a Concave Micro-Cylinder Based on Structure-Constrained Functions
title_full_unstemmed Photonic Hooks Generated by a Concave Micro-Cylinder Based on Structure-Constrained Functions
title_short Photonic Hooks Generated by a Concave Micro-Cylinder Based on Structure-Constrained Functions
title_sort photonic hooks generated by a concave micro cylinder based on structure constrained functions
topic photonic hook
structure-constrained function
effective length
bending angle
url https://www.mdpi.com/2072-666X/13/9/1434
work_keys_str_mv AT jialingzhang photonichooksgeneratedbyaconcavemicrocylinderbasedonstructureconstrainedfunctions
AT guoxiahan photonichooksgeneratedbyaconcavemicrocylinderbasedonstructureconstrainedfunctions
AT zeyang photonichooksgeneratedbyaconcavemicrocylinderbasedonstructureconstrainedfunctions
AT shuyuexie photonichooksgeneratedbyaconcavemicrocylinderbasedonstructureconstrainedfunctions
AT kaiyunzhan photonichooksgeneratedbyaconcavemicrocylinderbasedonstructureconstrainedfunctions