Modeling scattering matrix containing evanescent modes for wavefront shaping applications in disordered media
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Published Version
Supplementary Material
Date
2026-07-29
Authors
Raju, Michael
Jayet, Baptiste
Andersson-Engels, Stefan
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Published Version
Abstract
We developed an open-source scalar wave transport model to estimate the generalized scattering matrix (S-matrix) of a disordered medium in the diffusion regime. The term generalized refers to the incorporation of evanescent wave field modes alongside propagating modes in the estimation of the S-matrix. To achieve this, we employed the scalar Kirchhoff-Helmholtz boundary integral formulation together with the Green’s function perturbation method, thereby extending the conventional Fisher-Lee relations to include evanescent modes. The estimated S-matrix, which satisfies the generalized unitarity and reciprocity relations, is modeled for a two-dimensional disordered waveguide. The generalized transmission matrix contained within the S-matrix is utilized to estimate the optimal phase-conjugate wavefront for focusing onto an evanescent mode. The phenomenon of a universal transmission value of 2/3 for such an optimal phase conjugate wavefront is demonstrated in the context of evanescent wave mode focusing through a diffusive disorder. The presented code framework may be of interest to wavefront shaping researchers for visualizing and estimating wave transport properties in general.
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Keywords
Disordered media , [TyndallPhotonics] , [Physics] , Wavefront shaping applications , Scattering matrix , Evanescent modes
Citation
Raju, M, Jayet, B & Andersson-Engels, S 2026, 'Modeling scattering matrix containing evanescent modes for wavefront shaping applications in disordered media', Physical Review Research, vol. 8, no. 3, 033123, pp. 1-16. https://doi.org/10.1103/86th-pl8q
