Modified structural Luneburg lens for broadband focusing and collimation

Luneburg lens is a symmetric gradient-index lens with a refractive index that increases from the outer surface to the center in a radial manner. It has the ability to focus and collimate waves, which makes it useful for energy harvesting, waveguiding and as a component in transducers. An ideal Luneb...

Full description

Bibliographic Details
Main Authors: Zhao, Liuxian, Lai, Chang Quan, Yu, Miao
Other Authors: Temasek Laboratories @ NTU
Format: Journal Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/146666
_version_ 1824456143021277184
author Zhao, Liuxian
Lai, Chang Quan
Yu, Miao
author2 Temasek Laboratories @ NTU
author_facet Temasek Laboratories @ NTU
Zhao, Liuxian
Lai, Chang Quan
Yu, Miao
author_sort Zhao, Liuxian
collection NTU
description Luneburg lens is a symmetric gradient-index lens with a refractive index that increases from the outer surface to the center in a radial manner. It has the ability to focus and collimate waves, which makes it useful for energy harvesting, waveguiding and as a component in transducers. An ideal Luneburg lens should be easy to fabricate, has broadband and omnidirectional characteristics, as well as a focal length that can be easily tuned. However, existing structural Luneburg lenses based on phononic crystals can hardly achieve these requirements. Here, we propose an alternative structural Luneburg lens which has a refractive index that varies smoothly with its radial distance as a result of a changing thickness. Theoretical calculations, numerical simulations and experimental measurements of flexural wave propagation through the lens showed that flexural wave focusing can be obtained inside, at the edge and outside of the variable thickness lens for different frequencies and propagation directions. Flexural wave collimation was also demonstrated when a point source was placed at the respective focal points for each lens. Furthermore, it was shown that flexural waves that were focused onto a piezoelectric energy harvester by the Luneburg lens can lead to a significant increase in the harvested voltage compared to that obtained without focusing.
first_indexed 2025-02-19T03:49:24Z
format Journal Article
id ntu-10356/146666
institution Nanyang Technological University
language English
last_indexed 2025-02-19T03:49:24Z
publishDate 2021
record_format dspace
spelling ntu-10356/1466662021-03-06T20:12:11Z Modified structural Luneburg lens for broadband focusing and collimation Zhao, Liuxian Lai, Chang Quan Yu, Miao Temasek Laboratories @ NTU Science::Physics::Acoustics Variable Thickness Structure Modified Structural Luneburg Lens Luneburg lens is a symmetric gradient-index lens with a refractive index that increases from the outer surface to the center in a radial manner. It has the ability to focus and collimate waves, which makes it useful for energy harvesting, waveguiding and as a component in transducers. An ideal Luneburg lens should be easy to fabricate, has broadband and omnidirectional characteristics, as well as a focal length that can be easily tuned. However, existing structural Luneburg lenses based on phononic crystals can hardly achieve these requirements. Here, we propose an alternative structural Luneburg lens which has a refractive index that varies smoothly with its radial distance as a result of a changing thickness. Theoretical calculations, numerical simulations and experimental measurements of flexural wave propagation through the lens showed that flexural wave focusing can be obtained inside, at the edge and outside of the variable thickness lens for different frequencies and propagation directions. Flexural wave collimation was also demonstrated when a point source was placed at the respective focal points for each lens. Furthermore, it was shown that flexural waves that were focused onto a piezoelectric energy harvester by the Luneburg lens can lead to a significant increase in the harvested voltage compared to that obtained without focusing. Accepted version 2021-03-04T07:04:51Z 2021-03-04T07:04:51Z 2020 Journal Article Zhao, L., Lai, C. Q., & Yu, M. (2020). Modified structural Luneburg lens for broadband focusing and collimation. Mechanical Systems and Signal Processing, 144, 106868-. doi:10.1016/j.ymssp.2020.106868 0888-3270 https://hdl.handle.net/10356/146666 10.1016/j.ymssp.2020.106868 144 106868 en Mechanical Systems and Signal Processing © 2020 Elsevier Ltd. All rights reserved. This paper was published in Mechanical Systems and Signal Processing and is made available with permission of Elsevier Ltd. application/pdf
spellingShingle Science::Physics::Acoustics
Variable Thickness Structure
Modified Structural Luneburg Lens
Zhao, Liuxian
Lai, Chang Quan
Yu, Miao
Modified structural Luneburg lens for broadband focusing and collimation
title Modified structural Luneburg lens for broadband focusing and collimation
title_full Modified structural Luneburg lens for broadband focusing and collimation
title_fullStr Modified structural Luneburg lens for broadband focusing and collimation
title_full_unstemmed Modified structural Luneburg lens for broadband focusing and collimation
title_short Modified structural Luneburg lens for broadband focusing and collimation
title_sort modified structural luneburg lens for broadband focusing and collimation
topic Science::Physics::Acoustics
Variable Thickness Structure
Modified Structural Luneburg Lens
url https://hdl.handle.net/10356/146666
work_keys_str_mv AT zhaoliuxian modifiedstructuralluneburglensforbroadbandfocusingandcollimation
AT laichangquan modifiedstructuralluneburglensforbroadbandfocusingandcollimation
AT yumiao modifiedstructuralluneburglensforbroadbandfocusingandcollimation