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Guiding waves through chaos: Universal bounds for targeted mode transport
Cheng-Zhen Wang1, John Guillamon1, Ulrich Kuhl1,2
1Wave Transport in Complex Systems Lab, Department of Physics, Wesleyan University, Middletown, CT 06459, USA.
Science Advances
|January 28, 2026
Summary
We developed targeted mode transport (TMT), a statistical framework to control wave propagation in complex systems without needing full medium knowledge. TMT efficiently transfers energy between channels, enabling better wave-based technologies.
Area of Science:
- Wave physics
- Statistical mechanics
- Applied electromagnetics
Background:
- Wave propagation in complex media is challenging due to scattering and interference.
- Current wavefront shaping requires complete knowledge of the environment, limiting applications.
- Efficient energy and information transfer is crucial for advanced technologies.
Purpose of the Study:
- Introduce a universal statistical framework for targeted mode transport (TMT).
- Develop a predictive theory for TMT in multimode wave-chaotic systems.
- Provide design principles for energy delivery in complex environments.
Main Methods:
- Developed a statistical framework for targeted mode transport (TMT).
- Validated TMT on microwave networks, 2D chaotic cavities, and 3D reverberation chambers.
- Formulated a diagrammatic theory to predict TMT operator properties.
Main Results:
- TMT quantifies energy transfer efficiency between specified channels.
- The theory predicts TMT eigenvalue distribution and identifies key performance parameters.
- Demonstrated optimal wavefront bounds and phenomena like statistical transmission gaps.
Conclusions:
- TMT offers a method to control wave propagation without full medium knowledge.
- Established design principles for efficient energy and information transfer.
- Broad implications for adaptive signal processing and wave-based technologies.
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