Mode Control in a Multimode Fiber Through Acquiring its Transmission Matrix from a Reference-less Optical System

A simple imaging system together with complex semidefinite programming is used to generate the transmission matrix of a multimode fiber. Once the transmission matrix is acquired, we can modulate the phase of the input signal to induce strong mode interference at the fiber output. The optical design...

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Bibliographic Details
Published in:arXiv.org
Main Authors: N'Gom, Moussa, Norris, Theodore B, Michielssen, Eric, Raj Rao Nadakuditi
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 23.10.2017
Subjects:
Algorithms
Computational geometry
Convexity
Cryptography
Mathematical analysis
Matrix methods
Medical imaging
Optical design
Optimization
Propagation modes
Semidefinite programming
Spatial light modulators
ISSN:2331-8422
Online Access:Get full text
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Summary:A simple imaging system together with complex semidefinite programming is used to generate the transmission matrix of a multimode fiber. Once the transmission matrix is acquired, we can modulate the phase of the input signal to induce strong mode interference at the fiber output. The optical design does not contain a reference arm and no interferometric measurements are required. We use a phase-only spatial light modulator to shape the profile of the propagating modes and the output intensity at an individual pixel is monitored. The semidefinite program uses a convex optimization algorithm to generate the transmission matrix of the optical system using intensity only measurements. This simple yet powerful method can be used to compensate for modal dispersion in multimode fiber communication systems. It also yields great promises for the next generation biomedical imaging, quantum communication, and cryptography.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1707.02634