Next seminar in PNTPM

Université Libre de Bruxelles
Faculté des Sciences

PHYSIQUE NUCLEAIRE THEORIQUE ET PHYSIQUE MATHEMATIQUE

You are cordially invited to attend the seminar entitled:

Anisotropic Field Theory of Wave Transmission Statistics in Disordered Media

presented by

David Gaspard
Institut Langevin, ESPCI Paris, PSL University, CNRS, 75005 Paris, France

Abstract
Recent advances in wavefront shaping have revolutionized experimental studies in mesoscopic physics, providing new levels of control over coherent wave transport in scattering media, particularly in optical systems.
These experimental breakthroughs are founded on the substantial theoretical developments in quantum transport from the 1980s and 1990s, especially those focused on disordered wires. A cornerstone of this body of work is the Dorokhov-Mello-Pereira-Kumar (DMPK) theory, which characterizes the statistical properties of the transmission matrix of disordered media. However, while powerful, the DMPK theory cannot account for various experimentally relevant conditions, including quasiballistic transport, absorption, or partial control over the transmission matrix.
Our work [1] presents the first ab initio theory for the statistical properties of the transmission matrix that successfully addresses all of these conditions within a unified framework. This achievement fills a critical gap, providing experimentally useful predictions where current models fall short. A central result of this work is the derivation of a new nonlinear transport equation that captures the statistical properties of wavefront shaping performance.

[1] D. Gaspard and A. Goetschy, arXiv:2411.10360 [math-ph], arXiv:2411.10355 [math-ph].