Using Maple and special functions to study the propagation of coherent light beams inside the Earth-ionosphere waveguide with turbulent media

Vista sencilla de ítem
dc.contributor.authorMontoya Isaza, Sebastian
dc.contributor.authorOspina Giraldo, Juan Fernando
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorMontoya Isaza, Sebastian
dc.creatorOspina Giraldo, Juan Fernando
dc.date.accessioned2021-03-26T21:35:18Z
dc.date.available2021-03-26T21:35:18Z
dc.date.issued2012-05-07
dc.description.abstractSome special functions of the Mathematical Physics are a very helpful resource in problems involving the propagation of coherent light beams, which will suffer dispersion in a turbulent media such as the Earth's ionosphere waveguide. Unfortunately, these tools are difficult to use because it involves very complex mathematical developments. For this reason it is interesting to find a friendly method to make the implementation of these special functions possible. Using Maple I will be able to overcome the mathematical difficulty of solving these equations and get to the understanding of these phenomena. Specifically I will consider the excitation of the Earth's ionosphere as a cavity or a waveguide by satellite borne current sources in the form of satellite-based antennas when the medium inside the waveguide is turbulent. As a result, three kinds of coherent light beams will be derived: Bessel beams, for relatively low turbulence, Whittaker beams, for moderate turbulence, and Heun beams, for strong or fully developed turbulence. These beams are represented by the corresponding electric fields but the associated magnetic fields can be derived as well. It is verified that Maple is a very powerful tool in the study of the propagation of an input field through axially symmetric systems using the methods of the Mathematical Physics. It is expected that Maple will have important applications for more general models concerning propagation trough turbulent environments. © 2012 Copyright Society of Photo-Optical Instrumentation Engineers (SPIE).eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1366
dc.identifier.doi10.1117/12.919446
dc.identifier.issn0277786X
dc.identifier.issn1996756X
dc.identifier.otherWOS;000305692300022
dc.identifier.otherSCOPUS;2-s2.0-84862700952
dc.identifier.urihttp://hdl.handle.net/10784/27392
dc.language.isoengeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84862700952&doi=10.1117%2f12.919446&partnerID=40&md5=3e01a6fd22b187a0bad1b7ef0ceb5b9c
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.subject.keywordBessel beameng
dc.subject.keywordCoherent beamseng
dc.subject.keywordComputer algebraeng
dc.subject.keywordEarth ionosphere waveguideeng
dc.subject.keywordHeun beamseng
dc.subject.keywordLegendre functioneng
dc.subject.keywordMapleeng
dc.subject.keywordMathematical physicseng
dc.subject.keywordWhittaker beamseng
dc.subject.keywordBessel functionseng
dc.subject.keywordElectric fieldseng
dc.subject.keywordIonosphereeng
dc.subject.keywordIonospheric measurementeng
dc.subject.keywordLaser beamseng
dc.subject.keywordMagnetic fieldseng
dc.subject.keywordMechanicseng
dc.subject.keywordSatellite antennaseng
dc.subject.keywordSatelliteseng
dc.subject.keywordWaveguideseng
dc.subject.keywordAtmospheric thermodynamicseng
dc.titleUsing Maple and special functions to study the propagation of coherent light beams inside the Earth-ionosphere waveguide with turbulent mediaeng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localDocumento de conferenciaspa

Archivos

Colecciones

Documentos de conferencia