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dc.contributor.advisorJakobsen, Per Kristen
dc.contributor.authorKorzeniowska, Magdalena
dc.date.accessioned2020-08-31T08:25:01Z
dc.date.available2020-08-31T08:25:01Z
dc.date.issued2020-05-13
dc.description.abstractWith growing capabilities of high-intensity laser beams to generate ultra-short pulses of light, the simulation of pulse propagation in nonlinear media is expected to catch up with the front-line experimental setups. Among the challenges of nonlinear material response modeling is the ability to capture the back-scatter effect - a phenomenon inherently elusive for the well-established methods of unidirectional type. In this paper we consider a bidirectional shooting method proposed by P. Jakobsen in "Bidirectional pulse propagation equation for extreme nonlinear optics.", Physica Scripta, 89:095502, 2014. We derive the method for a Transverse Magnetic (TM) field, propagating in a material slab with a Kerr-type nonlinear polarization response, and delimited by two material interfaces. By performing a proof-of-concept implementation of the method, we demonstrate that it is indeed capable of reconstructing the expected quantitative and qualitative properties of the modeled physical system, including reflection from interfaces and third harmonic generation. Nevertheless, we find that both the accuracy of the solution, as well as the convergence of the iterative process, are negatively impacted by an increase in the relative scale of the nonlinearity coefficient. That points to the limitations of the underlying implementation and, potentially, the BPPE method itself. In that context we conclude with a brief discussion of the interdependence between the BPPE method and its numerical incarnations.en_US
dc.identifier.urihttps://hdl.handle.net/10037/19194
dc.language.isoengen_US
dc.publisherUiT Norges arktiske universiteten_US
dc.publisherUiT The Arctic University of Norwayen_US
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2020 The Author(s)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0en_US
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)en_US
dc.subject.courseIDMAT-3900
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413en_US
dc.titleA bidirectional pulse propagation model for extreme nonlinear optics: derivation and implementation.en_US
dc.typeMaster thesisen_US
dc.typeMastergradsoppgaveen_US


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Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)