IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v201y2025ip2s0960077925013402.html

Independent and controllable space-time autofocused dual Airyprime Hermite complex-variable-function Gaussian fractional wave packets

Author

Listed:
  • Tan, Chao
  • Liang, Yong
  • Zou, Min
  • Liu, Mingwei
  • Zhang, Lifu

Abstract

This work investigates the controllable spatiotemporal autofocusing characteristics of dual Airyprime Hermite complex-variable-function Gaussian (dAHCG) wave packets under the quadratic phase modulation (QPM) based on the fractional Schrödinger equation (FSE) optical system. By elaborately engineering the decay factor, distribution coefficient, Lévy index in both time and space domain, QPM coefficient and quadratic chirp, we achieve flexible control over the wave packet's morphology while enabling precise manipulation of its focal length and focal intensity. This approach facilitates simultaneous or asynchronous spatiotemporal self-focusing with significantly enhanced peak intensity at the space-time focal point. Our findings provide a new perspective on precisely tuning spatiotemporal self-focusing properties of wave packets and highlight the potential of these novel QPM-based wave packets in applications such as optical manipulation and laser processing.

Suggested Citation

  • Tan, Chao & Liang, Yong & Zou, Min & Liu, Mingwei & Zhang, Lifu, 2025. "Independent and controllable space-time autofocused dual Airyprime Hermite complex-variable-function Gaussian fractional wave packets," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p2:s0960077925013402
    DOI: 10.1016/j.chaos.2025.117327
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925013402
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.117327?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

    for a different version of it.

    References listed on IDEAS

    as
    1. He, Shangling & Peng, Xi & He, Yingji & Shan, Chun & Deng, Dongmei, 2024. "Propagation dynamics of the second-order chirped circular Pearcey Gaussian vortex beam in the fractional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    2. Wang, Qing & Zhang, Lingling & Malomed, Boris A. & Mihalache, Dumitru & Zeng, Liangwei, 2022. "Transformation of multipole and vortex solitons in the nonlocal nonlinear fractional Schrödinger equation by means of Lévy-index management," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Tan, Chao & Liang, Yong & Zou, Min & Liu, Mingwei & Zhang, Lifu, 2025. "Controllable trajectory Hermite-Gaussian vortex beams in nonlinear fractional Schrödinger systems," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    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. Zhang, Xiang & Gao, Yanxia & Xu, Changwen & Fan, Dianyuan & Zhang, Lifu, 2025. "Dynamic focusing of chirped Pearcey Gaussian pulses in dispersion-modulated optical fibers," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    2. Li, Jun-Jie & Zhang, Hui-Cong, 2023. "Stability and adaptive evolution of higher-order vector vortex solitons in thermally nonlinear media with tunable transverse size," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Zhang, Shaohua & Zhang, Meng & Qu, Jun, 2025. "Propagation dynamics of dual-layer twisted array sources modulated by strongly nonlocal nonlinear media," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    4. Rabie, Wafaa B. & Ahmed, Hamdy M., 2022. "Construction cubic-quartic solitons in optical metamaterials for the perturbed twin-core couplers with Kudryashov's sextic power law using extended F-expansion method," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Li, Jie & Yang, Zhen-Jun & Zhang, Shu-Min, 2024. "Characteristics of certain higher-order Hermite-cos-Gauss breathing solitons induced by the initial wavefront bending in optical media with nonlocal nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    6. Tan, Chao & Liang, Yong & Zou, Min & Liu, Mingwei & Zhang, Lifu, 2025. "Controllable trajectory Hermite-Gaussian vortex beams in nonlinear fractional Schrödinger systems," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    7. Sun, Taoran & Ni, Wenyi & Bai, Yanfeng & Zhao, Hao & Huang, Xianwei & Fu, Xiquan, 2025. "Controllable autofocusing properties and radiation forces of a spectrally chirped symmetric Airyprime beam," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    8. Xiang, Liang & Song, Lijun & Chen, Shujun, 2025. "Propagation dynamics of circular Pearcey vortex beam in photorefractive crystals with linear and quadratic electro-optic effects," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    9. He, Xueqing & Zhai, Yuanbo & Cai, Qiang & Li, Rujiang & Li, Pengfei, 2024. "Symmetry breaking and dynamics of solitons in regular and parity-time-symmetric nonlinear coupler supported by fractional dispersion," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:eee:chsofr:v:201:y:2025:i:p2:s0960077925013402. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.