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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Vydáno v:arXiv.org
Hlavní autoři: N'Gom, Moussa, Norris, Theodore B, Michielssen, Eric, Raj Rao Nadakuditi
Médium: Paper
Jazyk:angličtina
Vydáno: Ithaca Cornell University Library, arXiv.org 23.10.2017
Témata:
Algorithms
Computational geometry
Convexity
Cryptography
Mathematical analysis
Matrix methods
Medical imaging
Optical design
Optimization
Propagation modes
Semidefinite programming
Spatial light modulators
ISSN:2331-8422
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Abstract 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.
AbstractList 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.
Author Norris, Theodore B
Michielssen, Eric
N'Gom, Moussa
Raj Rao Nadakuditi
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SubjectTerms Algorithms
Computational geometry
Convexity
Cryptography
Mathematical analysis
Matrix methods
Medical imaging
Optical design
Optimization
Propagation modes
Semidefinite programming
Spatial light modulators
Title Mode Control in a Multimode Fiber Through Acquiring its Transmission Matrix from a Reference-less Optical System
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