Transmission eigenvalue distribution in disordered media from radiant field theory
We develop a field-theoretic formalism, called radiant field theory, to calculate the distribution of transmission eigenvalues for coherent wave propagation in disordered media. At its core is a self-consistent transport equation for a 2×2 matrix radiance, reminiscent of the radiative transfer equat...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/djhy-16mh |
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| _version_ | 1849718889562243072 |
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| author | David Gaspard Arthur Goetschy |
| author_facet | David Gaspard Arthur Goetschy |
| author_sort | David Gaspard |
| collection | DOAJ |
| description | We develop a field-theoretic formalism, called radiant field theory, to calculate the distribution of transmission eigenvalues for coherent wave propagation in disordered media. At its core is a self-consistent transport equation for a 2×2 matrix radiance, reminiscent of the radiative transfer equation but capable of capturing coherent interference effects. This framework goes beyond the limitations of the Dorokhov-Mello-Pereyra-Kumar theory by accounting for both quasiballistic and diffusive regimes. It also handles open geometries inaccessible to standard wave-equation solvers such as infinite slabs. Analytical and numerical solutions are provided for these geometries, highlighting in particular the impact of the waveguide shape and the grazing modes on the transmission eigenvalue distribution in the quasiballistic regime. By removing the macroscopic assumptions of random matrix models, this microscopic theory enables the calculation of transmission statistics in regimes previously out of reach. It also provides a foundation for exploring more complex observables and physical effects relevant to wavefront shaping in realistic disordered systems. |
| format | Article |
| id | doaj-art-938c8df6dde841ab9bbc22dc507e4e1a |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-938c8df6dde841ab9bbc22dc507e4e1a2025-08-20T03:12:15ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-017303307110.1103/djhy-16mhTransmission eigenvalue distribution in disordered media from radiant field theoryDavid GaspardArthur GoetschyWe develop a field-theoretic formalism, called radiant field theory, to calculate the distribution of transmission eigenvalues for coherent wave propagation in disordered media. At its core is a self-consistent transport equation for a 2×2 matrix radiance, reminiscent of the radiative transfer equation but capable of capturing coherent interference effects. This framework goes beyond the limitations of the Dorokhov-Mello-Pereyra-Kumar theory by accounting for both quasiballistic and diffusive regimes. It also handles open geometries inaccessible to standard wave-equation solvers such as infinite slabs. Analytical and numerical solutions are provided for these geometries, highlighting in particular the impact of the waveguide shape and the grazing modes on the transmission eigenvalue distribution in the quasiballistic regime. By removing the macroscopic assumptions of random matrix models, this microscopic theory enables the calculation of transmission statistics in regimes previously out of reach. It also provides a foundation for exploring more complex observables and physical effects relevant to wavefront shaping in realistic disordered systems.http://doi.org/10.1103/djhy-16mh |
| spellingShingle | David Gaspard Arthur Goetschy Transmission eigenvalue distribution in disordered media from radiant field theory Physical Review Research |
| title | Transmission eigenvalue distribution in disordered media from radiant field theory |
| title_full | Transmission eigenvalue distribution in disordered media from radiant field theory |
| title_fullStr | Transmission eigenvalue distribution in disordered media from radiant field theory |
| title_full_unstemmed | Transmission eigenvalue distribution in disordered media from radiant field theory |
| title_short | Transmission eigenvalue distribution in disordered media from radiant field theory |
| title_sort | transmission eigenvalue distribution in disordered media from radiant field theory |
| url | http://doi.org/10.1103/djhy-16mh |
| work_keys_str_mv | AT davidgaspard transmissioneigenvaluedistributionindisorderedmediafromradiantfieldtheory AT arthurgoetschy transmissioneigenvaluedistributionindisorderedmediafromradiantfieldtheory |