Coherent Control of Wave Scattering via Coincidences of Complex Spectra
Abstract
We introduce and validate a theoretical framework for coherent control of multichannel scattering of linear waves to route waves through complex geometries with multiple scattering. We show that steady-state perfect routing solutions are achievable at any frequency via tuning geometric param- eters so that multiple complex eigenfrequencies coincide on the real axis. The relevant complex spectra describe critically constrained scattering processes (CCONs), where a specific number of generically accessible outgoing channels are not excited due to destructive interference. Focusing on electromagnetic waves, we demonstrate in simulations high discrimination routing and demulti- plexing of signals in a multiport chaotic cavity with a number of tunable scatterers which can be predicted from theory. A similar approach can be used to implement other interesting functional- ities, such as filtering, power division and directional lasing. The method can be applied to other classical waves and also to quantum matter waves.
Keywords
Cite
@article{arxiv.2510.13035,
title = {Coherent Control of Wave Scattering via Coincidences of Complex Spectra},
author = {Ali H. Alhulaymi and Nazar Pyvovar and Philipp del Hougne and Owen D. Miller and A. Douglas Stone},
journal= {arXiv preprint arXiv:2510.13035},
year = {2025}
}