Controlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method

Abstract Complex Semi-Definite Programming (SDP) is introduced as a novel approach to phase retrieval enabled control of monochromatic light transmission through highly scattering media. In a simple optical setup, a spatial light modulator is used to generate a random sequence of phase-modulated wav...

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Autores principales:	Moussa N’Gom, Miao-Bin Lien, Nooshin M. Estakhri, Theodore B. Norris, Eric Michielssen, Raj Rao Nadakuditi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/dc6edf154e8b4195af4b94a16f659468
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spelling	oai:doaj.org-article:dc6edf154e8b4195af4b94a16f6594682021-12-02T12:31:55ZControlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method10.1038/s41598-017-02716-x2045-2322https://doaj.org/article/dc6edf154e8b4195af4b94a16f6594682017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02716-xhttps://doaj.org/toc/2045-2322Abstract Complex Semi-Definite Programming (SDP) is introduced as a novel approach to phase retrieval enabled control of monochromatic light transmission through highly scattering media. In a simple optical setup, a spatial light modulator is used to generate a random sequence of phase-modulated wavefronts, and the resulting intensity speckle patterns in the transmitted light are acquired on a camera. The SDP algorithm allows computation of the complex transmission matrix of the system from this sequence of intensity-only measurements, without need for a reference beam. Once the transmission matrix is determined, optimal wavefronts are computed that focus the incident beam to any position or sequence of positions on the far side of the scattering medium, without the need for any subsequent measurements or wavefront shaping iterations. The number of measurements required and the degree of enhancement of the intensity at focus is determined by the number of pixels controlled by the spatial light modulator.Moussa N’GomMiao-Bin LienNooshin M. EstakhriTheodore B. NorrisEric MichielssenRaj Rao NadakuditiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Moussa N’Gom Miao-Bin Lien Nooshin M. Estakhri Theodore B. Norris Eric Michielssen Raj Rao Nadakuditi Controlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method
description	Abstract Complex Semi-Definite Programming (SDP) is introduced as a novel approach to phase retrieval enabled control of monochromatic light transmission through highly scattering media. In a simple optical setup, a spatial light modulator is used to generate a random sequence of phase-modulated wavefronts, and the resulting intensity speckle patterns in the transmitted light are acquired on a camera. The SDP algorithm allows computation of the complex transmission matrix of the system from this sequence of intensity-only measurements, without need for a reference beam. Once the transmission matrix is determined, optimal wavefronts are computed that focus the incident beam to any position or sequence of positions on the far side of the scattering medium, without the need for any subsequent measurements or wavefront shaping iterations. The number of measurements required and the degree of enhancement of the intensity at focus is determined by the number of pixels controlled by the spatial light modulator.
format	article
author	Moussa N’Gom Miao-Bin Lien Nooshin M. Estakhri Theodore B. Norris Eric Michielssen Raj Rao Nadakuditi
author_facet	Moussa N’Gom Miao-Bin Lien Nooshin M. Estakhri Theodore B. Norris Eric Michielssen Raj Rao Nadakuditi
author_sort	Moussa N’Gom
title	Controlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method
title_short	Controlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method
title_full	Controlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method
title_fullStr	Controlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method
title_full_unstemmed	Controlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method
title_sort	controlling light transmission through highly scattering media using semi-definite programming as a phase retrieval computation method
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/dc6edf154e8b4195af4b94a16f659468
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Controlling Light Transmission Through Highly Scattering Media Using Semi-Definite Programming as a Phase Retrieval Computation Method

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