Abstract
In a random-scattering system, the deposition matrix maps the incident wavefront onto 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.
Recommended Citation
A. Yamilov et al., "Sum Rules for Energy Deposition Eigenchannels in Scattering Systems," Optics Letters, vol. 47, no. 19, pp. 4889 - 4892, Optica, Oct 2022.
The definitive version is available at https://doi.org/10.1364/OL.468697
Department(s)
Physics
International Standard Serial Number (ISSN)
1539-4794; 0146-9592
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2023 Optica, All rights reserved.
Publication Date
01 Oct 2022
PubMed ID
36181143
Comments
National Science Foundation, Grant DMR-1905442