IDEAS home Printed from https://ideas.repec.org/a/spr/pardea/v3y2022i4d10.1007_s42985-022-00179-y.html
   My bibliography  Save this article

Asymptotic analysis of subwavelength halide perovskite resonators

Author

Listed:
  • Konstantinos Alexopoulos

    (ETH Zurich)

  • Bryn Davies

    (Imperial College London)

Abstract

Halide perovskites are promising materials with many significant applications in photovoltaics and optoelectronics. Their highly dispersive permittivity relation leads to a non-linear relationship between the frequency and the wavenumber. This, in turn, means the resonance of the system is described by a highly non-linear eigenvalue problem, which is mathematically challenging to understand. In this paper, we use integral methods to quantify the resonant properties of halide perovskite nano-particles. We prove that, for arbitrarily small particles, the subwavelength resonant frequencies can be expressed in terms of the eigenvalues of the Newtonian potential associated with its shape. We also characterize the hybridized subwavelength resonant frequencies of a dimer of two halide perovskite particles. Finally, we examine the specific case of spherical resonators and demonstrate that our new results are consistent with previous works.

Suggested Citation

  • Konstantinos Alexopoulos & Bryn Davies, 2022. "Asymptotic analysis of subwavelength halide perovskite resonators," Partial Differential Equations and Applications, Springer, vol. 3(4), pages 1-28, August.
    • Handle: RePEc:spr:pardea:v:3:y:2022:i:4:d:10.1007_s42985-022-00179-y
    DOI: 10.1007/s42985-022-00179-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s42985-022-00179-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s42985-022-00179-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Leilei Gu & Swapnadeep Poddar & Yuanjing Lin & Zhenghao Long & Daquan Zhang & Qianpeng Zhang & Lei Shu & Xiao Qiu & Matthew Kam & Ali Javey & Zhiyong Fan, 2020. "A biomimetic eye with a hemispherical perovskite nanowire array retina," Nature, Nature, vol. 581(7808), pages 278-282, May.
    2. Heyong Wang & Felix Utama Kosasih & Hongling Yu & Guanhaojie Zheng & Jiangbin Zhang & Galia Pozina & Yang Liu & Chunxiong Bao & Zhangjun Hu & Xianjie Liu & Libor Kobera & Sabina Abbrent & Jiri Brus & , 2020. "Perovskite-molecule composite thin films for efficient and stable light-emitting diodes," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bo Dai & Liang Zhang & Chenglong Zhao & Hunter Bachman & Ryan Becker & John Mai & Ziao Jiao & Wei Li & Lulu Zheng & Xinjun Wan & Tony Jun Huang & Songlin Zhuang & Dawei Zhang, 2021. "Biomimetic apposition compound eye fabricated using microfluidic-assisted 3D printing," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    2. Zhenghao Long & Xiao Qiu & Chak Lam Jonathan Chan & Zhibo Sun & Zhengnan Yuan & Swapnadeep Poddar & Yuting Zhang & Yucheng Ding & Leilei Gu & Yu Zhou & Wenying Tang & Abhishek Kumar Srivastava & Cunji, 2023. "A neuromorphic bionic eye with filter-free color vision using hemispherical perovskite nanowire array retina," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    3. Rui Xu & Zhiqiang Zeng & Yong Lei, 2022. "Well-defined nanostructuring with designable anodic aluminum oxide template," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    4. Pengshan Xie & Yunchao Xu & Jingwen Wang & Dengji Li & Yuxuan Zhang & Zixin Zeng & Boxiang Gao & Quan Quan & Bowen Li & You Meng & Weijun Wang & Yezhan Li & Yan Yan & Yi Shen & Jia Sun & Johnny C. Ho, 2024. "Birdlike broadband neuromorphic visual sensor arrays for fusion imaging," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    5. You Meng & Xiaocui Li & Xiaolin Kang & Wanpeng Li & Wei Wang & Zhengxun Lai & Weijun Wang & Quan Quan & Xiuming Bu & SenPo Yip & Pengshan Xie & Dong Chen & Dengji Li & Fei Wang & Chi-Fung Yeung & Chan, 2023. "Van der Waals nanomesh electronics on arbitrary surfaces," Nature Communications, Nature, vol. 14(1), pages 1-14, December.
    6. Ting Jiang & Yiru Wang & Yingshuang Zheng & Le Wang & Xiang He & Liqiang Li & Yunfeng Deng & Huanli Dong & Hongkun Tian & Yanhou Geng & Linghai Xie & Yong Lei & Haifeng Ling & Deyang Ji & Wenping Hu, 2023. "Tetrachromatic vision-inspired neuromorphic sensors with ultraweak ultraviolet detection," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    7. Nan Li & Yingxin Zhou & Yuqing Li & Chunwei Li & Wentao Xiang & Xueqing Chen & Pan Zhang & Qi Zhang & Jun Su & Bohao Jin & Huize Song & Cai Cheng & Minghui Guo & Lei Wang & Jing Liu, 2024. "Transformable 3D curved high-density liquid metal coils – an integrated unit for general soft actuation, sensing and communication," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    8. Xu Luo & Chen Chen & Zixi He & Min Wang & Keyuan Pan & Xuemei Dong & Zifan Li & Bin Liu & Zicheng Zhang & Yueyue Wu & Chaoyi Ban & Rong Chen & Dengfeng Zhang & Kaili Wang & Qiye Wang & Junyue Li & Gan, 2024. "A bionic self-driven retinomorphic eye with ionogel photosynaptic retina," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    9. Yao Ma & Leting Shan & Yiran Ying & Liang Shen & Yufeng Fu & Linfeng Fei & Yusheng Lei & Nailin Yue & Wei Zhang & Hong Zhang & Haitao Huang & Kai Yao & Junhao Chu, 2024. "Day-Night imaging without Infrared Cutfilter removal based on metal-gradient perovskite single crystal photodetector," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    10. Chengyu Wang & Yangshuang Bian & Kai Liu & Mingcong Qin & Fan Zhang & Mingliang Zhu & Wenkang Shi & Mingchao Shao & Shengcong Shang & Jiaxin Hong & Zhiheng Zhu & Zhiyuan Zhao & Yunqi Liu & Yunlong Guo, 2024. "Strain-insensitive viscoelastic perovskite film for intrinsically stretchable neuromorphic vision-adaptive transistors," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    11. Xiaopeng Feng & Chenglong Li & Jinmei Song & Yuhong He & Wei Qu & Weijun Li & Keke Guo & Lulu Liu & Bai Yang & Haotong Wei, 2024. "Differential perovskite hemispherical photodetector for intelligent imaging and location tracking," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    12. Yingjie Tang & Peng Jin & Yan Wang & Dingwei Li & Yitong Chen & Peng Ran & Wei Fan & Kun Liang & Huihui Ren & Xuehui Xu & Rui Wang & Yang (Michael) Yang & Bowen Zhu, 2023. "Enabling low-drift flexible perovskite photodetectors by electrical modulation for wearable health monitoring and weak light imaging," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    13. Seongchan Kim & Yoon Young Choi & Taewan Kim & Yong Min Kim & Dong Hae Ho & Young Jin Choi & Dong Gue Roe & Ju-Hee Lee & Joongpill Park & Ji-Woong Choi & Jeong Won Kim & Jin-Hong Park & Sae Byeok Jo &, 2022. "A biomimetic ocular prosthesis system: emulating autonomic pupil and corneal reflections," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    14. Changsoon Choi & Henry Hinton & Hyojin Seung & Sehui Chang & Ji Su Kim & Woosang You & Min Sung Kim & Jung Pyo Hong & Jung Ah Lim & Do Kyung Hwang & Gil Ju Lee & Houk Jang & Young Min Song & Dae-Hyeon, 2024. "Anti-distortion bioinspired camera with an inhomogeneous photo-pixel array," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:pardea:v:3:y:2022:i:4:d:10.1007_s42985-022-00179-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.