scholarly journals Measuring the Transmission Matrix in Optics: An Approach to the Study and Control of Light Propagation in Disordered Media

2010 ◽  
Vol 104 (10) ◽  
Author(s):  
S. M. Popoff ◽  
G. Lerosey ◽  
R. Carminati ◽  
M. Fink ◽  
A. C. Boccara ◽  
...  

Waves transmitted through disordered media show increasing fluctuations with thickness of material so that averages of different properties of the wavefield have very different scaling with thickness traversed. We have been able to classify these properties according to a scheme that is independent of the nature of the medium, such that members of a class have a universal scaling independent of the nature of the medium. We apply this result to trace ( T L T † L ) M , where T L is the amplitude transmission matrix. The eigenfunctions of T L T † L define a set of channels through which the current flows, and the eigenvalues are the corresponding transmission coefficients. We prove that these coefficients are either ≈ 0 or ≈ 1. As L increases more channels are shut down. This is the maximal fluctuation theorem : fluctuations cannot be greater than this. We expect that our classification scheme will prove of further value in proving theorems about limiting distributions. We show by numerical simulations that our theorem holds good for a wide variety of systems, in one, two and three dimensions.


2012 ◽  
Vol 20 (14) ◽  
pp. 16067 ◽  
Author(s):  
Santosh Tripathi ◽  
Richard Paxman ◽  
Thomas Bifano ◽  
Kimani C. Toussaint

2015 ◽  
Vol 23 (9) ◽  
pp. 12293 ◽  
Author(s):  
Zhou Shi ◽  
Matthieu Davy ◽  
Azriel Z. Genack
Keyword(s):  

Author(s):  
Davy Matthieu ◽  
Gigan Sylvain ◽  
Azriel Z. Genack

2011 ◽  
Vol 13 (12) ◽  
pp. 123021 ◽  
Author(s):  
S M Popoff ◽  
G Lerosey ◽  
M Fink ◽  
A C Boccara ◽  
S Gigan

2019 ◽  
Vol 116 (27) ◽  
pp. 13260-13265 ◽  
Author(s):  
Andre Brandstötter ◽  
Adrian Girschik ◽  
Philipp Ambichl ◽  
Stefan Rotter

Electronic matter waves traveling through the weak and smoothly varying disorder potential of a semiconductor show a characteristic branching behavior instead of a smooth spreading of flow. By transferring this phenomenon to optics, we demonstrate numerically how the branched flow of light can be controlled to propagate along a single branch rather than along many of them at the same time. Our method is based on shaping the incoming wavefront and only requires partial knowledge of the system’s transmission matrix. We show that the light flowing along a single branch has a broadband frequency stability such that one can even steer pulses along selected branches—a prospect with many interesting possibilities for wave control in disordered environments.


2015 ◽  
Vol 6 (1) ◽  
Author(s):  
Francisco J. Rodríguez-Fortuño ◽  
Nader Engheta ◽  
Alejandro Martínez ◽  
Anatoly V. Zayats

Abstract Optical forces allow manipulation of small particles and control of nanophotonic structures with light beams. While some techniques rely on structured light to move particles using field intensity gradients, acting locally, other optical forces can ‘push’ particles on a wide area of illumination but only in the direction of light propagation. Here we show that spin–orbit coupling, when the spin of the incident circularly polarized light is converted into lateral electromagnetic momentum, leads to a lateral optical force acting on particles placed above a substrate, associated with a recoil mechanical force. This counterintuitive force acts in a direction in which the illumination has neither a field gradient nor propagation. The force direction is switchable with the polarization of uniform, plane wave illumination, and its magnitude is comparable to other optical forces.


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