Deterministic time rewinding of waves in time-varying media
arXiv:2508.14241 · doi:10.1515/nanoph-2025-0307
Abstract
Temporal modulation of material parameters offers unprecedented control over wave dynamics, enabling phenomena beyond the capabilities of static systems. Here we introduce and analyze a robust mechanism for time rewinding, whereby a temporally evolved wave is fully restored to its original state through a carefully engineered sequence of temporal modulations. In electromagnetic systems, time rewinding emerges from impedance-matched or anti-matched hierarchical bilayer structures with matched modulation durations, exploiting total transmission or reflection and reversed phase accumulation. In Dirac systems, it arises via complete interband transition driven by time-dependent vector potentials. Unlike time-reversal holography or quantum time mirrors, which produce wave echoes but only partial waveform recovery, our approach achieves deterministic and complete reconstruction of the entire wave state, including both amplitude and phase. Analytical conditions for robust amplitude and phase restoration are derived and validated through simulations of discrete and continuous modulations, demonstrating resilience to modulation complexity and temporal asymmetry. These findings establish a versatile platform for secure information retrieval, temporal cloaking, programmable metamaterials, and wave-based logic devices.
11 pages, 8 figures
References in corpus (17)
- Amplified Emission by Atoms and Lasing in Photonic Time Crystals
- Observation of Temporal Reflections and Broadband Frequency Translations at Photonic Time-Interfaces
- Double-slit time diffraction at optical frequencies
- Temporal multilayer structures for designing higher-order transfer functions using time-varying metamaterials
- Photonic time crystals: Theory and applications
- Quantum time reflection and refraction of ultracold atoms
- Superluminal k-gap solitons in nonlinear photonic time-crystals
- Universal statistics of waves in a random time-varying medium
- Eigenpulses of dispersive time-varying media
- Unidirectional scattering with spatial homogeneity using photonic time disorder
- Harnessing the natural resonances of time-varying dispersive interfaces
- Holding and amplifying electromagnetic waves with temporal non-Foster metastructures
- Electron Scattering at a Potential Temporal Step Discontinuity
- Anderson Localization in Photonic Time Crystals
- Giant overreflection of magnetohydrodynamic waves from inhomogeneous plasmas with nonuniform shear flows
- Propagation of Dirac waves through various temporal interfaces, slabs, and crystals
- Spatial localization and diffusion of Dirac particles and waves induced by random temporal medium variations