Water Wave Control Method Based on Principle of Gradient Index Lens

WANG Si-ying, DING Ning, SONG Zhi-wei, SHI Xiao-tao

Journal of Changjiang River Scientific Research Institute ›› 2023, Vol. 40 ›› Issue (1) : 101-106.

PDF(13080 KB)
PDF(13080 KB)
Journal of Changjiang River Scientific Research Institute ›› 2023, Vol. 40 ›› Issue (1) : 101-106. DOI: 10.11988/ckyyb.20210848
HYDRAULICS

Water Wave Control Method Based on Principle of Gradient Index Lens

  • WANG Si-ying1, DING Ning1, SONG Zhi-wei1, SHI Xiao-tao2
Author information +
History +

Abstract

The mechanism of controlling water wave by designing special variable-density fluid is studied through theoretical analysis and numerical simulation based on the principle of gradient refractive index optical lens.The impact of water waves on water-related projects can be alleviated by designing variable-density fluid lens to make parallel incident water waves turn back and propagate backwards according to the principle of the Eaton lens which could deflect ray trajectories,hence reducing wave intensity in downstream area.On the other hand,water wave energy can be better collected and exploited by designing variable-density fluid lens to make parallel incident water wave focus to a point and enhance wave intensity in light of the Luneburg lens which can focalize ray trajectories.Our study proves that it is feasible to regulate and control surface water waves by designing and arranging variable-density fluid regions of different sizes and functions according to specific application requirements and project conditions.The theory and technique in this paper provides a new idea for controlling and utilizing waves in water conservancy and ocean engineering.

Key words

water wave / gradient index lens / variable density fluid area / Luneburg lens / Eaton lens

Cite this article

Download Citations
WANG Si-ying, DING Ning, SONG Zhi-wei, SHI Xiao-tao. Water Wave Control Method Based on Principle of Gradient Index Lens[J]. Journal of Changjiang River Scientific Research Institute. 2023, 40(1): 101-106 https://doi.org/10.11988/ckyyb.20210848

References

[1] HEWITT J E,CUMMINGS V J,ELLIS J I,et al.The Role of Waves in the Colonisation of Terrestrial Sediments Deposited in the Marine Environment[J].Journal of Experimental Marine Biology and Ecology,2003,290(1):19-47.
[2] 郭腾飞.波浪与海流对沉积物再悬浮贡献的原位观测研究[D].青岛:中国海洋大学,2014.
[3] ZHENG C W,LI C Y.Overview of Site Selection Difficulties for Marine New Energy Power Plant and Suggestions:Wave Energy Case Study[J].Journal of Harbin Engineering University,2018,39(2):200-206.
[4] KIM S H.Cylindrical Acoustic Luneburg Lens[C]∥IEEE 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics-Metamaterials 2014,Copenhagen,Denmark.August 25-30,2014:364-366.
[5] KIM S H.Sound Focusingby Acoustic Luneburg Lens[J].Physics,2014,12(1):1-4.
[6] KIM S H,SY P V,DAS M P.Acoustic Eaton Lens Array and Its Fluid Application[J].Modern Physics Letters B,2017,31(8):1-10.
[7] ZOU S Y,XU Y D,ZATIANIAN R,et al.Broadband Waveguide Cloak for Water Waves[J].Physical Review Letters,2019,123:074501.
[8] LUNEBURG R K.The Mathematical Theory of Optics[J].Brown University Press,1944,189(212):865-867.
[9] LUNEBURG R K.Mathematical Theory of Optics[J].American Journal of Physics,1966,34(3):319-320.
[10]EATON J E.On Spherically Symmetric Lenses[J].Transactions of the Ire Professional Group on Antennas & Propagation,1953,4(1):66-71.
[11]WANG C,XU T T,BI S B,et al.Measurement of the Focusing Constant of Gradient-Index Fiber Lens and Its Application in Developing GRIN Fiber Probes[J].Measurement,2016,90:542-548.
[12]张 昊.基于梯度折射率材料的声偏转器研究[D].南京:南京大学,2016.
[13]XIE Y B,FU Y Y,JIA Z T,et al.Acoustic Imaging with Metamaterial Luneburg Lenses[J].Scientific Reports,2018,8(1):16188.
[14]XU L,CHEN H Y.Conformal Transformation Optics[J].Nature Photonics,2015,9(1):15-23.
[15]SANCHIS L,GARCIA C V M,LLOPIS P R,et al.Three-dimensional Axisymmetric Cloak Based on the Cancellation of Acoustic Scattering from a Sphere[J].Physical Review Letters,2013,110(12):1243011.
[16]STOKER J J.Surface Waves in Water of Variable Depth[J].Quarterly of Applied Mathematics,1948,5(1):1-54.
PDF(13080 KB)

Accesses

Citation

Detail

Sections
Recommended

/