Coherent Control of Wave Scattering via Coincidences of Complex Spectra
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915556042473472 |
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| author | Alhulaymi, Ali H. Pyvovar, Nazar del Hougne, Philipp Miller, Owen D. Stone, A. Douglas |
| author_facet | Alhulaymi, Ali H. Pyvovar, Nazar del Hougne, Philipp Miller, Owen D. Stone, A. Douglas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13035 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coherent Control of Wave Scattering via Coincidences of Complex Spectra Alhulaymi, Ali H. Pyvovar, Nazar del Hougne, Philipp Miller, Owen D. Stone, A. Douglas Optics 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. |
| title | Coherent Control of Wave Scattering via Coincidences of Complex Spectra |
| topic | Optics |
| url | https://arxiv.org/abs/2510.13035 |