Sum rules for energy deposition eigenchannels in scattering systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916117721645056 |
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| author | Yamilov, Alexey Bender, Nicholas Cao, Hui |
| author_facet | Yamilov, Alexey Bender, Nicholas Cao, Hui |
| contents | In a random-scattering system, the deposition matrix maps the incident wavefront to the internal field distribution across a target volume. The corresponding eigenchannels have been used to enhance the wave energy delivered to the target. Here we find the sum rules for the eigenvalues and eigenchannels of the deposition matrix in any system geometry: including two and three-dimensional scattering systems, as well as narrow waveguides and wide slabs. We derive a number of constraints on the eigenchannel intensity distributions inside the system as well as the corresponding eigenvalues. Our results are general and applicable to random systems of arbitrary scattering strength as well as different types of waves including electromagnetic waves, acoustic waves, and matter waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_01070 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sum rules for energy deposition eigenchannels in scattering systems Yamilov, Alexey Bender, Nicholas Cao, Hui Optics Disordered Systems and Neural Networks In a random-scattering system, the deposition matrix maps the incident wavefront to the internal field distribution across a target volume. The corresponding eigenchannels have been used to enhance the wave energy delivered to the target. Here we find the sum rules for the eigenvalues and eigenchannels of the deposition matrix in any system geometry: including two and three-dimensional scattering systems, as well as narrow waveguides and wide slabs. We derive a number of constraints on the eigenchannel intensity distributions inside the system as well as the corresponding eigenvalues. Our results are general and applicable to random systems of arbitrary scattering strength as well as different types of waves including electromagnetic waves, acoustic waves, and matter waves. |
| title | Sum rules for energy deposition eigenchannels in scattering systems |
| topic | Optics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2207.01070 |