Orbital Angular Momentum of photons: a tool to transmit information João David Ventura Sabino Thesis to obtain the Master of Science Degree in Engineering Physics Supervisor(s): Professor Gonçalo Nuno Marmelo Foito Figueira Professor Paulo Sérgio de Brito André Examination Committee Chairperson: Professor Horácio João Matos Fernandes Supervisor: Professor Paulo Sérgio de Brito André Member of the Committee: Professor Jorge Miguel Ramos Domingues Ferreira Vieira Professor José Maria Longras Figueiredo November 2016 ii AoAmordaquelesquenuncadeixamdeacreditar. iii iv Acknowledgments I’d like to start by thanking my family. The support form L´ıdia, Joa˜o and Filipe was crucial to make this journeypossible. I’dalsoliketothankmygirlfriendPatr´ıciawhoalsoofferedunconditionalsupport,not only with suggestions to this work but also in the reviewing of this document. The five people above gavemethemostimportantthingsIneeded: Talks,jokes,andsmiles. Professor Gonc¸alo Figueira from the Group of Lasers and Plasmas (GoLP) and professor Paulo Andre´ fromInstitutodeTelecomunicac¸o˜es(IT)alsomadethisworkpossiblethroughallthesupportand encouragementprovided. ImustthankGoLPandInstitutodePlasmaseFusa˜oNuclear(IPFN)forprovidingtheLaborato´riode LasersIntensos(L2I),theinstallationwheretheexperimentwasperformed,andmanyopticalmaterials that were necessary. I also thank IT for the provided equipment without which the experiment couldn’t beperformed. AwordmustbelefttoalltheniceGoLPteam,namelyCelsoJoa˜o,HugoPires,VictorHariton,Joana Duarte,whowerealwaysavailabletohelpedmetoovercomesomeobstacles. v vi Resumo Os sistemas de comunicac¸o˜es sofreram uma grande evoluc¸a˜o na segunda metade do se´culo XXI, permitindo melhores e mais ra´pidas comunicac¸o˜es em qualquer parte do mundo. Em particular, as comunicac¸o˜es o´pticas tornaram-se o pilar central das comunicac¸o˜es por cabo de alta capacidade. O volumedetra´ficodedadosnainternetesta´ aatingirrapidamenteoslimitesimpostospelosefeitosna˜o lineares da fibra o´ptica. O Momento Angular Orbital (OAM) da luz e´ uma potencial soluc¸a˜o, uma vez que permite a gerac¸a˜o de modos ortogonais, adicionando assim um grau de liberdade extra para o transportedeinformac¸a˜o. Nestetrabalhoforamdesenvolvidassimulac¸o˜esparamodelarapropagac¸a˜o edifracc¸a˜odefeixescomMAOefoitambe´mexecutadaumatransmissa˜odeinformac¸a˜ousandoMAO, provandoqueestapropriedadedaluzpodeserusadaparaaumentaraeficieˆnciaespectraldasactuais redesdecomunicac¸o˜es. Palavras-chave: Momento Angular Orbital, Comunicac¸o˜es o´pticas, Eficieˆncia espectral, ModuladorEspacialdaLuz,Modulac¸a˜odefase vii viii Abstract Communication systems have seen a great evolution in the second half of last century, allowing faster and better communications all over the world. In particular, optical communications have become the backboneofhighcapacitywiredcommunucations. Theinternetdatatrafficcapacityisrapidlyreaching the limits imposed by optical fiber non-linear effects. Orbital Angular Momentum (OAM) of light is a potentialsolutionthatpermitsthegenerationofunlimitedorthogonalmodeswhichaddsanotherdegree of freedom to carry information. In this work simulations are developed as a model to the propagation and diffraction of OAM-carrying beams and a proof-of-concept information transmission using OAM is also implemented, showing that this property of light can be used to increase the spectral efficiency of today’snetworks. Keywords: Orbital Angular Momentum, Optical communications, Spectral efficiency, Spatial LightModulator,Phasemodulation ix x
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