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dc.date.accessioned2009-08-17T09:44:11Z
dc.date.available2009-08-17T09:44:11Z
dc.date.issued2009-08-17T09:44:11Z
dc.identifier.uriurn:nbn:de:hebis:34-2009081729481
dc.identifier.urihttp://hdl.handle.net/123456789/2009081729481
dc.language.isoeng
dc.subjectself-focusingeng
dc.subjectwave collapseeng
dc.subject.ddc500
dc.subject.ddc530
dc.titleAnalytical Study of Light Propagation in Highly Nonlinear Mediaeng
dc.typeDissertation
dcterms.abstractThe present dissertation is devoted to the construction of exact and approximate analytical solutions of the problem of light propagation in highly nonlinear media. It is demonstrated that for many experimental conditions, the problem can be studied under the geometrical optics approximation with a sufficient accuracy. Based on the renormalization group symmetry analysis, exact analytical solutions of the eikonal equations with a higher order refractive index are constructed. A new analytical approach to the construction of approximate solutions is suggested. Based on it, approximate solutions for various boundary conditions, nonlinear refractive indices and dimensions are constructed. Exact analytical expressions for the nonlinear self-focusing positions are deduced. On the basis of the obtained solutions a general rule for the single filament intensity is derived; it is demonstrated that the scaling law (the functional dependence of the self-focusing position on the peak beam intensity) is defined by a form of the nonlinear refractive index but not the beam shape at the boundary. Comparisons of the obtained solutions with results of experiments and numerical simulations are discussed.eng
dcterms.accessRightsopen access
dcterms.creatorTatarinova, Larisa
dc.contributor.corporatenameKassel, Universität, FB 18, Naturwissenschaften, Institut für Physik
dc.contributor.refereeGarcia, Martin E. (Prof. Dr.)
dc.contributor.refereeBaumert, Thomas (Prof. Dr.)
dc.subject.pacs42.60.Jfger
dc.subject.pacs42.65.Jxger
dc.subject.swdLichtger
dc.subject.swdSelbstfokussierungger
dc.subject.swdWellenausbreitungger
dc.subject.swdKollaps <Mathematik>ger
dc.date.examination2009-07-08


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