Direction-Selective Wave Freezing and Amplification at a Hyperbolic Time Interface

[2608.20968] Direction-Selective Wave Freezing and Amplification at a Hyperbolic Time Interface Skip to main content Search Submit Donate Log in Physics > Optics arXiv:2608.20968 (physics) [Submitted on 21 Aug 2026 ( v1 ), last revised 27 Aug 2026 (this version, v2)] Title: Direction-Selective Wave Freezing and Amplification at a Hyperbolic Time Interface Authors: Zhao Wang , Ai Gang , Xinghong Zhu , Hongru Ma , Wen Xiao , Huanyang Chen View PDF Abstract: Hyperbolic media are well known for converting high k-components that are evanescent in conventional dielectrics into propagating bulk waves through their open equifrequency contours. Here, we reveal a complementary temporal effect: after a sudden transition into an effectively nondispersive hyperbolic state, conservation of the full wavevector causes the indefinite dispersion to partition momentum space into real-, zero-, and purely imaginary-frequency regimes. Consequently, p-polarized waves undergo conventional temporal scattering, critical magnetic-field freezing, or exponential growth and decay, depending solely on their conserved wavevector direction, whereas s-polarized waves remain in the real-frequency regime. A second temporal boundary releases the frozen or amplified fields into propagating waves at original frequency. Analytical temporal boundary theory, k-space pulse reconstruction, and finite-difference time-domain simulations corroborate these dynamics. These results establish hyperbolic temporal boundaries as a compact route to direction-selective imaginary frequency dynamics and wave amplification without Floquet periodicity. Comments: 18 pages, 4 figures Subjects: Optics (physics.optics) Cite as: arXiv:2608.20968 [physics.optics] (or arXiv:2608.20968v2 [physics.optics] for this version) https://doi.org/10.48550/arXiv.2608.20968 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Wen Xiao [ view email ] [v1] Fri, 21 Aug 2026 10:43:24 UTC (914 KB) [v2] Thu, 27 Aug 2026 05:58:57 UTC (1,189 KB) Full-text links: Access Paper: View PDF view license Current browse context: physics.optics < prev | next > new | recent | 2026-08 Change to browse by: physics References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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