Scattering hinders the passage of light through random media and consequently limits the usefulness of optical techniques for sensing and imaging. Thus, methods for increasing the transmission of light through such random media are of interest. Against this backdrop, recent theoretical and experimental advances have suggested the existence of a few highly transmitting eigen-wavefronts with transmission coefficients close to 1 in strongly backscattering random media. Here, we numerically analyze this phenomenon in 2D with fully spectrally accurate simulators and provide rigorous numerical evidence confirming the existence of these highly transmitting eigen-wavefronts in random media with periodic boundary conditions that are composed of hundreds of thousands of nonabsorbing scatterers. Motivated by bio-imaging applications in which it is not possible to measure the transmitted fields, we develop physically realizable algorithms for increasing the transmission through such random media using backscatter analysis. We show via numerical simulations that the algorithms converge rapidly, yielding a near-optimum wavefront in just a few iterations. We also develop an algorithm that combines the knowledge of these highly transmitting eigen-wavefronts obtained from backscatter analysis with intensity measurements at a point to produce a near-optimal focus with significantly fewer measurements than a method that does not utilize this information.
© 2013 Optical Society of America
Original Manuscript: March 15, 2013
Revised Manuscript: May 20, 2013
Manuscript Accepted: May 21, 2013
Published: July 17, 2013
Vol. 8, Iss. 9 Virtual Journal for Biomedical Optics
Curtis Jin, Raj Rao Nadakuditi, Eric Michielssen, and Stephen C. Rand, "Iterative, backscatter-analysis algorithms for increasing transmission and focusing light through highly scattering random media," J. Opt. Soc. Am. A 30, 1592-1602 (2013)